MyQuestionIcon

1

You visited us 1 times! Enjoying our articles? Unlock Full Access!

The Fundamental Theorem of Arithmetic

Find the HCF ...

Question

Find the HCF and LCM of $625, 1125$ and $2125$ using Fundamental Theorem of Arithmetic method.

A

95625

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

B

95425

No worries! We‘ve got your back. Try BYJU‘S free classes today!

C

98621

No worries! We‘ve got your back. Try BYJU‘S free classes today!

D

92536

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is A $95625$
Prime factorisation
$625 = 5 \times 5 \times 5 \times 5$
$1125 = 3 \times 3 \times 5 \times 5 \times 5$
$2125 = 5 \times 5 \times 5 \times 17$
So,HCF $= 5 \times 5 \times 5 = 125$
LCM = $3^{2} \times 5^{4} \times 17 = 95625$

Suggest Corrections

thumbs-up

2

Similar questions

Q. Find the LCM of following using Fundamental Theorem of Arithmetic method.

H C F

L C M

120

144

by fundamental Theorem of Arithmetic.

Q. Find the HCF and LCM of

42

72

by prime factorisation method i.e, by fundamental theorem of arithmetic.

70

245

using Fundamental Theorem of Arithmetic.

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

The Fundamental Theorem of Arithmetic

MATHEMATICS

Watch in App

explore_more_icon

Explore more

The Fundamental Theorem of Arithmetic

Standard X Mathematics

Join BYJU'S Learning Program

CrossIcon