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GCF of 895/234, 357/637

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 895/234, 357/637 i.e 1/11466 easily. The following is the detailed procedure to determine the greatest common factor of fractions 895/234, 357/637.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 895/234,357/637?

Given fractions are 895/234,357/637

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 895/234,357/637, numerators are 895,357

Denominators are 234,637

The GCF of 895,357 is 1 .

LCM of 234,637 is 11466.

The greatest common factor of 895/234,357/637 = [GCF of 895,357]/[LCM of 234,637]= 1/11466

Therefore, the GCF of 895/234,357/637 is 1/11466.

Greatest Common Factor of 895,357

To find the highest common factor of 895,357, we have to find the factors of both numbers and list the highest common factor.

The factors of 895 are 1, 5, 179, 895

The factors of 357 are 1, 3, 7, 17, 21, 51, 119, 357

The HCF of 895,357 is 1.

Lets's calculate GCF of 895,357

Greatest Common Factor (GCF) of 895,357 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 895,357 By Matching Biggest Common Factor Method

Greatest Common Factor of 895,357 By Matching Biggest Common Factor Method

Now, list down the factors of 895

:

1,5,179,895

Now, list down the factors of 357

:

1,3,7,17,21,51,119,357

Greatest Common Factor

We found the factors 895,357 . The biggest common factor number is the GCF number.
So the greatest common factor 895,357 is 1.

Lets's calculate LCM of 234,637

Lowest Common Multiple of 234,637 using Common Division

13 234, 637
18, 49

∴ So the LCM of the given numbers is 13 x 18 x 49 = 11466

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/11466

Therefore, the GCF of Fractions 895/234,357/637 is 1/11466

Least Common Multiple of 234,637 with GCF Formula

Least Common Multiple of 234,637 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 234,637 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(234,637) = 13

common factors(in case of two or more numbers have common factors) = 1

GCF(234,637) x common factors =13 x 1 = 13

LCM(234,637) = ( 234 × 637 ) / 13

LCM(234,637) = 149058 / 13

LCM(234,637) = 11466


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FAQs on GCF of Fractions of 895/234, 357/637

1. What is the HCF of 895,357?

The HCF of 895,357 is 1

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

4. What is the GCF of Fractions for 895/234, 357/637?

Answer: GCF of Numerators as per given numbers 895/234, 357/637 is

GCF of Numerators i.e. for 895,357 is 1

LCM of denominators i.e. for 234,637 is 11466.

Thus, GCF of Fractions is 1/11466.Finally, GCF of Fractions for 895/234, 357/637 is 1/11466.