How to Find GCF of 6131/866, 8272/1762?

GCF of 6131/866, 8272/1762

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 6131/866, 8272/1762 i.e 1/762946 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6131/866, 8272/1762.

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 6131/866,8272/1762?

Given fractions are 6131/866,8272/1762

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 6131/866,8272/1762, numerators are 6131,8272

Denominators are 866,1762

The GCF of 6131,8272 is 1 .

LCM of 866,1762 is 762946.

The greatest common factor of 6131/866,8272/1762 = [GCF of 6131,8272]/[LCM of 866,1762]= 1/762946

Therefore, the GCF of 6131/866,8272/1762 is 1/762946.

Greatest Common Factor of 6131,8272

To find the highest common factor of 6131,8272, we have to find the factors of both numbers and list the highest common factor.

The factors of 6131 are 1, 6131

The factors of 8272 are 1, 2, 4, 8, 11, 16, 22, 44, 47, 88, 94, 176, 188, 376, 517, 752, 1034, 2068, 4136, 8272

The HCF of 6131,8272 is 1.

Lets's calculate GCF of 6131,8272

Greatest Common Factor (GCF) of 6131,8272 By Common Division

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

Greatest Common Factor of 6131,8272 By Matching Biggest Common Factor Method

Now, list down the factors of 6131

1,6131

Now, list down the factors of 8272

1,2,4,8,11,16,22,44,47,88,94,176,188,376,517,752,1034,2068,4136,8272

Greatest Common Factor

We found the factors 6131,8272 . The biggest common factor number is the GCF number.
So the greatest common factor 6131,8272 is 1.

Lets's calculate LCM of 866,1762

Lowest Common Multiple of 866,1762 using Common Division

2	866, 1762
	433, 881

∴ So the LCM of the given numbers is 2 x 433 x 881 = 762946

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/762946

Therefore, the GCF of Fractions 6131/866,8272/1762 is 1/762946

Least Common Multiple of 866,1762 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 866,1762 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(866,1762) = 2

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

GCF(866,1762) x common factors =2 x 1 = 2

LCM(866,1762) = ( 866 × 1762 ) / 2

LCM(866,1762) = 1525892 / 2

LCM(866,1762) = 762946

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 6131/866, 8272/1762

1. What is the HCF of 6131,8272?

The HCF of 6131,8272 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 6131/866, 8272/1762?

Answer: GCF of Numerators as per given numbers 6131/866, 8272/1762 is

GCF of Numerators i.e. for 6131,8272 is 1

LCM of denominators i.e. for 866,1762 is 762946.

Thus, GCF of Fractions is 1/762946.Finally, GCF of Fractions for 6131/866, 8272/1762 is 1/762946.