How to Find GCF of 3917/656, 2779/9715?

GCF of 3917/656, 2779/9715

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 3917/656, 2779/9715 i.e 1/6373040 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3917/656, 2779/9715.

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 3917/656,2779/9715?

Given fractions are 3917/656,2779/9715

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 3917/656,2779/9715, numerators are 3917,2779

Denominators are 656,9715

The GCF of 3917,2779 is 1 .

LCM of 656,9715 is 6373040.

The greatest common factor of 3917/656,2779/9715 = [GCF of 3917,2779]/[LCM of 656,9715]= 1/6373040

Therefore, the GCF of 3917/656,2779/9715 is 1/6373040.

Greatest Common Factor of 3917,2779

To find the highest common factor of 3917,2779, we have to find the factors of both numbers and list the highest common factor.

The factors of 3917 are 1, 3917

The factors of 2779 are 1, 7, 397, 2779

The HCF of 3917,2779 is 1.

Lets's calculate GCF of 3917,2779

Greatest Common Factor (GCF) of 3917,2779 By Common Division

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

Greatest Common Factor of 3917,2779 By Matching Biggest Common Factor Method

Now, list down the factors of 3917

1,3917

Now, list down the factors of 2779

1,7,397,2779

Greatest Common Factor

We found the factors 3917,2779 . The biggest common factor number is the GCF number.
So the greatest common factor 3917,2779 is 1.

Lets's calculate LCM of 656,9715

Lowest Common Multiple of 656,9715 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 6373040

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6373040

Therefore, the GCF of Fractions 3917/656,2779/9715 is 1/6373040

Least Common Multiple of 656,9715 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 656,9715 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(656,9715) = 1

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

GCF(656,9715) x common factors =1 x 1 = 1

LCM(656,9715) = ( 656 × 9715 ) / 1

LCM(656,9715) = 6373040 / 1

LCM(656,9715) = 6373040

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FAQs on GCF of Fractions of 3917/656, 2779/9715

1. What is the HCF of 3917,2779?

The HCF of 3917,2779 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 3917/656, 2779/9715?

Answer: GCF of Numerators as per given numbers 3917/656, 2779/9715 is

GCF of Numerators i.e. for 3917,2779 is 1

LCM of denominators i.e. for 656,9715 is 6373040.

Thus, GCF of Fractions is 1/6373040.Finally, GCF of Fractions for 3917/656, 2779/9715 is 1/6373040.