How to Find GCF of 7081/761, 4819/938?

GCF of 7081/761, 4819/938

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 7081/761, 4819/938 i.e 1/713818 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7081/761, 4819/938.

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 7081/761,4819/938?

Given fractions are 7081/761,4819/938

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 7081/761,4819/938, numerators are 7081,4819

Denominators are 761,938

The GCF of 7081,4819 is 1 .

LCM of 761,938 is 713818.

The greatest common factor of 7081/761,4819/938 = [GCF of 7081,4819]/[LCM of 761,938]= 1/713818

Therefore, the GCF of 7081/761,4819/938 is 1/713818.

Greatest Common Factor of 7081,4819

To find the highest common factor of 7081,4819, we have to find the factors of both numbers and list the highest common factor.

The factors of 7081 are 1, 73, 97, 7081

The factors of 4819 are 1, 61, 79, 4819

The HCF of 7081,4819 is 1.

Lets's calculate GCF of 7081,4819

Greatest Common Factor (GCF) of 7081,4819 By Common Division

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

Greatest Common Factor of 7081,4819 By Matching Biggest Common Factor Method

Now, list down the factors of 7081

1,73,97,7081

Now, list down the factors of 4819

1,61,79,4819

Greatest Common Factor

We found the factors 7081,4819 . The biggest common factor number is the GCF number.
So the greatest common factor 7081,4819 is 1.

Lets's calculate LCM of 761,938

Lowest Common Multiple of 761,938 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 713818

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/713818

Therefore, the GCF of Fractions 7081/761,4819/938 is 1/713818

Least Common Multiple of 761,938 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 761,938 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(761,938) = 1

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

GCF(761,938) x common factors =1 x 1 = 1

LCM(761,938) = ( 761 × 938 ) / 1

LCM(761,938) = 713818 / 1

LCM(761,938) = 713818

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FAQs on GCF of Fractions of 7081/761, 4819/938

1. What is the HCF of 7081,4819?

The HCF of 7081,4819 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 7081/761, 4819/938?

Answer: GCF of Numerators as per given numbers 7081/761, 4819/938 is

GCF of Numerators i.e. for 7081,4819 is 1

LCM of denominators i.e. for 761,938 is 713818.

Thus, GCF of Fractions is 1/713818.Finally, GCF of Fractions for 7081/761, 4819/938 is 1/713818.