How to Find GCF of 7971/695, 5276/3014?

GCF of 7971/695, 5276/3014

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 7971/695, 5276/3014 i.e 1/2094730 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7971/695, 5276/3014.

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 7971/695,5276/3014?

Given fractions are 7971/695,5276/3014

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 7971/695,5276/3014, numerators are 7971,5276

Denominators are 695,3014

The GCF of 7971,5276 is 1 .

LCM of 695,3014 is 2094730.

The greatest common factor of 7971/695,5276/3014 = [GCF of 7971,5276]/[LCM of 695,3014]= 1/2094730

Therefore, the GCF of 7971/695,5276/3014 is 1/2094730.

Greatest Common Factor of 7971,5276

To find the highest common factor of 7971,5276, we have to find the factors of both numbers and list the highest common factor.

The factors of 7971 are 1, 3, 2657, 7971

The factors of 5276 are 1, 2, 4, 1319, 2638, 5276

The HCF of 7971,5276 is 1.

Lets's calculate GCF of 7971,5276

Greatest Common Factor (GCF) of 7971,5276 By Common Division

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

Greatest Common Factor of 7971,5276 By Matching Biggest Common Factor Method

Now, list down the factors of 7971

1,3,2657,7971

Now, list down the factors of 5276

1,2,4,1319,2638,5276

Greatest Common Factor

We found the factors 7971,5276 . The biggest common factor number is the GCF number.
So the greatest common factor 7971,5276 is 1.

Lets's calculate LCM of 695,3014

Lowest Common Multiple of 695,3014 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2094730

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2094730

Therefore, the GCF of Fractions 7971/695,5276/3014 is 1/2094730

Least Common Multiple of 695,3014 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 695,3014 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(695,3014) = 1

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

GCF(695,3014) x common factors =1 x 1 = 1

LCM(695,3014) = ( 695 × 3014 ) / 1

LCM(695,3014) = 2094730 / 1

LCM(695,3014) = 2094730

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FAQs on GCF of Fractions of 7971/695, 5276/3014

1. What is the HCF of 7971,5276?

The HCF of 7971,5276 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 7971/695, 5276/3014?

Answer: GCF of Numerators as per given numbers 7971/695, 5276/3014 is

GCF of Numerators i.e. for 7971,5276 is 1

LCM of denominators i.e. for 695,3014 is 2094730.

Thus, GCF of Fractions is 1/2094730.Finally, GCF of Fractions for 7971/695, 5276/3014 is 1/2094730.