How to Find GCF of 931/876, 768/908?

GCF of 931/876, 768/908

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 931/876, 768/908 i.e 1/198852 easily. The following is the detailed procedure to determine the greatest common factor of fractions 931/876, 768/908.

Enter two or more fractions separated by "commas"

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

What is the GCF of 931/876,768/908?

Given fractions are 931/876,768/908

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 931/876,768/908, numerators are 931,768

Denominators are 876,908

The GCF of 931,768 is 1 .

LCM of 876,908 is 198852.

The greatest common factor of 931/876,768/908 = [GCF of 931,768]/[LCM of 876,908]= 1/198852

Therefore, the GCF of 931/876,768/908 is 1/198852.

Greatest Common Factor of 931,768

To find the highest common factor of 931,768, we have to find the factors of both numbers and list the highest common factor.

The factors of 931 are 1, 7, 19, 49, 133, 931

The factors of 768 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

The HCF of 931,768 is 1.

Lets's calculate GCF of 931,768

Greatest Common Factor (GCF) of 931,768 By Common Division

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

Greatest Common Factor of 931,768 By Matching Biggest Common Factor Method

Now, list down the factors of 931

1,7,19,49,133,931

Now, list down the factors of 768

1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,256,384,768

Greatest Common Factor

We found the factors 931,768 . The biggest common factor number is the GCF number.
So the greatest common factor 931,768 is 1.

Lets's calculate LCM of 876,908

Lowest Common Multiple of 876,908 using Common Division

2	876, 908
2	438, 454
	219, 227

∴ So the LCM of the given numbers is 2 x 2 x 219 x 227 = 198852

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/198852

Therefore, the GCF of Fractions 931/876,768/908 is 1/198852

Least Common Multiple of 876,908 with GCF Formula

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

We need to calculate greatest common factor of 876,908 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(876,908) = 4

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

GCF(876,908) x common factors =4 x 1 = 4

LCM(876,908) = ( 876 × 908 ) / 4

LCM(876,908) = 795408 / 4

LCM(876,908) = 198852

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FAQs on GCF of Fractions of 931/876, 768/908

1. What is the HCF of 931,768?

The HCF of 931,768 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 931/876, 768/908?

Answer: GCF of Numerators as per given numbers 931/876, 768/908 is

GCF of Numerators i.e. for 931,768 is 1

LCM of denominators i.e. for 876,908 is 198852.

Thus, GCF of Fractions is 1/198852.Finally, GCF of Fractions for 931/876, 768/908 is 1/198852.