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# The HCF of two numbers is 21 and their LCM is 4641. If one of the n

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Intern
Joined: 03 Jul 2019
Posts: 33
Location: India
GPA: 3
WE: Sales (Venture Capital)
The HCF of two numbers is 21 and their LCM is 4641. If one of the n  [#permalink]

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23 Aug 2019, 10:39
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Difficulty:

75% (hard)

Question Stats:

29% (01:40) correct 71% (02:20) wrong based on 24 sessions

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The HCF of two numbers is 21 and their LCM is 4641. If one of the numbers is between 200 and 300, find the other number.

A. 221

B. 273

C. 357

D. 441

E. 289
Director
Joined: 19 Oct 2018
Posts: 880
Location: India
Re: The HCF of two numbers is 21 and their LCM is 4641. If one of the n  [#permalink]

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23 Aug 2019, 12:36
1
HCF{a, b}= 21
a=21x
b=21y

Also LCM{a, b}=4641
hence x*y=4641/21= 221

Given that 200<21x<300 or 9.efg<x<14.jkl
x can be 10, 11, 12, 13 or 14
only 13 is the factor of 221

a=21*13=273
b=21*(221/13)=21*17=357

C

AbdulMalikVT wrote:
The HCF of two numbers is 21 and their LCM is 4641. If one of the numbers is between 200 and 300, find the other number.

A. 221

B. 273

C. 357

D. 441

E. 289
Intern
Joined: 06 Mar 2018
Posts: 2
Re: The HCF of two numbers is 21 and their LCM is 4641. If one of the n  [#permalink]

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23 Aug 2019, 23:59
Why can't the numbers be 221 and 441 instead? Could someone please help me I am confused.
Intern
Joined: 10 Mar 2018
Posts: 29
Location: India
Concentration: Entrepreneurship, Marketing
WE: Design (Retail)
Re: The HCF of two numbers is 21 and their LCM is 4641. If one of the n  [#permalink]

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04 Sep 2019, 03:17
SShawarma wrote:
Why can't the numbers be 221 and 441 instead? Could someone please help me I am confused.

Can you show how did you solve to get these two nos. 221 and 441?

The H.C.F. of 221 and 441 is not 21.
_________________
~ETERNAL~
Re: The HCF of two numbers is 21 and their LCM is 4641. If one of the n   [#permalink] 04 Sep 2019, 03:17
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# The HCF of two numbers is 21 and their LCM is 4641. If one of the n

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