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GCF of 968/274, 255/872

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 968/274, 255/872 i.e 1/119464 easily. The following is the detailed procedure to determine the greatest common factor of fractions 968/274, 255/872.

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 968/274,255/872?

Given fractions are 968/274,255/872

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 968/274,255/872, numerators are 968,255

Denominators are 274,872

The GCF of 968,255 is 1 .

LCM of 274,872 is 119464.

The greatest common factor of 968/274,255/872 = [GCF of 968,255]/[LCM of 274,872]= 1/119464

Therefore, the GCF of 968/274,255/872 is 1/119464.

Greatest Common Factor of 968,255

To find the highest common factor of 968,255, we have to find the factors of both numbers and list the highest common factor.

The factors of 968 are 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

The factors of 255 are 1, 3, 5, 15, 17, 51, 85, 255

The HCF of 968,255 is 1.

Lets's calculate GCF of 968,255

Greatest Common Factor (GCF) of 968,255 By Common Division

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

Greatest Common Factor of 968,255 By Matching Biggest Common Factor Method

Greatest Common Factor of 968,255 By Matching Biggest Common Factor Method

Now, list down the factors of 968

:

1,2,4,8,11,22,44,88,121,242,484,968

Now, list down the factors of 255

:

1,3,5,15,17,51,85,255

Greatest Common Factor

We found the factors 968,255 . The biggest common factor number is the GCF number.
So the greatest common factor 968,255 is 1.

Lets's calculate LCM of 274,872

Lowest Common Multiple of 274,872 using Common Division

2 274, 872
137, 436

∴ So the LCM of the given numbers is 2 x 137 x 436 = 119464

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/119464

Therefore, the GCF of Fractions 968/274,255/872 is 1/119464

Least Common Multiple of 274,872 with GCF Formula

Least Common Multiple of 274,872 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 274,872 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(274,872) = 2

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

GCF(274,872) x common factors =2 x 1 = 2

LCM(274,872) = ( 274 × 872 ) / 2

LCM(274,872) = 238928 / 2

LCM(274,872) = 119464


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FAQs on GCF of Fractions of 968/274, 255/872

1. What is the HCF of 968,255?

The HCF of 968,255 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 968/274, 255/872?

Answer: GCF of Numerators as per given numbers 968/274, 255/872 is

GCF of Numerators i.e. for 968,255 is 1

LCM of denominators i.e. for 274,872 is 119464.

Thus, GCF of Fractions is 1/119464.Finally, GCF of Fractions for 968/274, 255/872 is 1/119464.