How to Find GCF of 8072/968, 4957/748?

GCF of 8072/968, 4957/748

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 8072/968, 4957/748 i.e 1/16456 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8072/968, 4957/748.

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 8072/968,4957/748?

Given fractions are 8072/968,4957/748

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 8072/968,4957/748, numerators are 8072,4957

Denominators are 968,748

The GCF of 8072,4957 is 1 .

LCM of 968,748 is 16456.

The greatest common factor of 8072/968,4957/748 = [GCF of 8072,4957]/[LCM of 968,748]= 1/16456

Therefore, the GCF of 8072/968,4957/748 is 1/16456.

Greatest Common Factor of 8072,4957

To find the highest common factor of 8072,4957, we have to find the factors of both numbers and list the highest common factor.

The factors of 8072 are 1, 2, 4, 8, 1009, 2018, 4036, 8072

The factors of 4957 are 1, 4957

The HCF of 8072,4957 is 1.

Lets's calculate GCF of 8072,4957

Greatest Common Factor (GCF) of 8072,4957 By Common Division

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

Greatest Common Factor of 8072,4957 By Matching Biggest Common Factor Method

Now, list down the factors of 8072

1,2,4,8,1009,2018,4036,8072

Now, list down the factors of 4957

1,4957

Greatest Common Factor

We found the factors 8072,4957 . The biggest common factor number is the GCF number.
So the greatest common factor 8072,4957 is 1.

Lets's calculate LCM of 968,748

Lowest Common Multiple of 968,748 using Common Division

2	968, 748
2	484, 374
11	242, 187
	22, 17

∴ So the LCM of the given numbers is 2 x 2 x 11 x 22 x 17 = 16456

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/16456

Therefore, the GCF of Fractions 8072/968,4957/748 is 1/16456

Least Common Multiple of 968,748 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 968,748 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(968,748) = 44

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

GCF(968,748) x common factors =44 x 1 = 44

LCM(968,748) = ( 968 × 748 ) / 44

LCM(968,748) = 724064 / 44

LCM(968,748) = 16456

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FAQs on GCF of Fractions of 8072/968, 4957/748

1. What is the HCF of 8072,4957?

The HCF of 8072,4957 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 8072/968, 4957/748?

Answer: GCF of Numerators as per given numbers 8072/968, 4957/748 is

GCF of Numerators i.e. for 8072,4957 is 1

LCM of denominators i.e. for 968,748 is 16456.

Thus, GCF of Fractions is 1/16456.Finally, GCF of Fractions for 8072/968, 4957/748 is 1/16456.