How to Find GCF of 611/938, 8762/4939?

GCF of 611/938, 8762/4939

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 611/938, 8762/4939 i.e 13/4632782 easily. The following is the detailed procedure to determine the greatest common factor of fractions 611/938, 8762/4939.

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 611/938,8762/4939?

Given fractions are 611/938,8762/4939

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 611/938,8762/4939, numerators are 611,8762

Denominators are 938,4939

The GCF of 611,8762 is 13 .

LCM of 938,4939 is 4632782.

The greatest common factor of 611/938,8762/4939 = [GCF of 611,8762]/[LCM of 938,4939]= 13/4632782

Therefore, the GCF of 611/938,8762/4939 is 13/4632782.

Greatest Common Factor of 611,8762

To find the highest common factor of 611,8762, we have to find the factors of both numbers and list the highest common factor.

The factors of 611 are 1, 13, 47, 611

The factors of 8762 are 1, 2, 13, 26, 337, 674, 4381, 8762

The HCF of 611,8762 is 13.

Lets's calculate GCF of 611,8762

Greatest Common Factor (GCF) of 611,8762 By Common Division

13	611, 8762
	47, 674

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 611,8762 By Matching Biggest Common Factor Method

Now, list down the factors of 611

1,13,47,611

Now, list down the factors of 8762

1,2,13,26,337,674,4381,8762

Greatest Common Factor

We found the factors 611,8762 . The biggest common factor number is the GCF number.
So the greatest common factor 611,8762 is 13.

Lets's calculate LCM of 938,4939

Lowest Common Multiple of 938,4939 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 4632782

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/4632782

Therefore, the GCF of Fractions 611/938,8762/4939 is 13/4632782

Least Common Multiple of 938,4939 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 938,4939 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(938,4939) = 1

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

GCF(938,4939) x common factors =1 x 1 = 1

LCM(938,4939) = ( 938 × 4939 ) / 1

LCM(938,4939) = 4632782 / 1

LCM(938,4939) = 4632782

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FAQs on GCF of Fractions of 611/938, 8762/4939

1. What is the HCF of 611,8762?

The HCF of 611,8762 is 13

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 611/938, 8762/4939?

Answer: GCF of Numerators as per given numbers 611/938, 8762/4939 is

GCF of Numerators i.e. for 611,8762 is 13

LCM of denominators i.e. for 938,4939 is 4632782.

Thus, GCF of Fractions is 13/4632782.Finally, GCF of Fractions for 611/938, 8762/4939 is 13/4632782.