How to Find GCF of 7502/827, 3916/339?

GCF of 7502/827, 3916/339

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 7502/827, 3916/339 i.e 22/280353 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7502/827, 3916/339.

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 7502/827,3916/339?

Given fractions are 7502/827,3916/339

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 7502/827,3916/339, numerators are 7502,3916

Denominators are 827,339

The GCF of 7502,3916 is 22 .

LCM of 827,339 is 280353.

The greatest common factor of 7502/827,3916/339 = [GCF of 7502,3916]/[LCM of 827,339]= 22/280353

Therefore, the GCF of 7502/827,3916/339 is 22/280353.

Greatest Common Factor of 7502,3916

To find the highest common factor of 7502,3916, we have to find the factors of both numbers and list the highest common factor.

The factors of 7502 are 1, 2, 11, 22, 31, 62, 121, 242, 341, 682, 3751, 7502

The factors of 3916 are 1, 2, 4, 11, 22, 44, 89, 178, 356, 979, 1958, 3916

The HCF of 7502,3916 is 22.

Lets's calculate GCF of 7502,3916

Greatest Common Factor (GCF) of 7502,3916 By Common Division

2	7502, 3916
11	3751, 1958
	341, 178

∴ So the GCF of the given numbers is 2 x 11 = 22

Greatest Common Factor of 7502,3916 By Matching Biggest Common Factor Method

Now, list down the factors of 7502

1,2,11,22,31,62,121,242,341,682,3751,7502

Now, list down the factors of 3916

1,2,4,11,22,44,89,178,356,979,1958,3916

Greatest Common Factor

We found the factors 7502,3916 . The biggest common factor number is the GCF number.
So the greatest common factor 7502,3916 is 22.

Lets's calculate LCM of 827,339

Lowest Common Multiple of 827,339 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 280353

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 22/280353

Therefore, the GCF of Fractions 7502/827,3916/339 is 22/280353

Least Common Multiple of 827,339 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 827,339 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(827,339) = 1

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

GCF(827,339) x common factors =1 x 1 = 1

LCM(827,339) = ( 827 × 339 ) / 1

LCM(827,339) = 280353 / 1

LCM(827,339) = 280353

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FAQs on GCF of Fractions of 7502/827, 3916/339

1. What is the HCF of 7502,3916?

The HCF of 7502,3916 is 22

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 7502/827, 3916/339?

Answer: GCF of Numerators as per given numbers 7502/827, 3916/339 is

GCF of Numerators i.e. for 7502,3916 is 22

LCM of denominators i.e. for 827,339 is 280353.

Thus, GCF of Fractions is 22/280353.Finally, GCF of Fractions for 7502/827, 3916/339 is 22/280353.