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GCF of 4967/625, 6979/7711

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 4967/625, 6979/7711 i.e 1/4819375 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4967/625, 6979/7711.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 4967/625,6979/7711?

Given fractions are 4967/625,6979/7711

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 4967/625,6979/7711, numerators are 4967,6979

Denominators are 625,7711

The GCF of 4967,6979 is 1 .

LCM of 625,7711 is 4819375.

The greatest common factor of 4967/625,6979/7711 = [GCF of 4967,6979]/[LCM of 625,7711]= 1/4819375

Therefore, the GCF of 4967/625,6979/7711 is 1/4819375.

Greatest Common Factor of 4967,6979

To find the highest common factor of 4967,6979, we have to find the factors of both numbers and list the highest common factor.

The factors of 4967 are 1, 4967

The factors of 6979 are 1, 7, 997, 6979

The HCF of 4967,6979 is 1.

Lets's calculate GCF of 4967,6979

Greatest Common Factor (GCF) of 4967,6979 By Common Division

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

Greatest Common Factor of 4967,6979 By Matching Biggest Common Factor Method

Greatest Common Factor of 4967,6979 By Matching Biggest Common Factor Method

Now, list down the factors of 4967

:

1,4967

Now, list down the factors of 6979

:

1,7,997,6979

Greatest Common Factor

We found the factors 4967,6979 . The biggest common factor number is the GCF number.
So the greatest common factor 4967,6979 is 1.

Lets's calculate LCM of 625,7711

Lowest Common Multiple of 625,7711 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 4819375

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4819375

Therefore, the GCF of Fractions 4967/625,6979/7711 is 1/4819375

Least Common Multiple of 625,7711 with GCF Formula

Least Common Multiple of 625,7711 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 625,7711 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(625,7711) = 1

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

GCF(625,7711) x common factors =1 x 1 = 1

LCM(625,7711) = ( 625 × 7711 ) / 1

LCM(625,7711) = 4819375 / 1

LCM(625,7711) = 4819375


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FAQs on GCF of Fractions of 4967/625, 6979/7711

1. What is the HCF of 4967,6979?

The HCF of 4967,6979 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 4967/625, 6979/7711?

Answer: GCF of Numerators as per given numbers 4967/625, 6979/7711 is

GCF of Numerators i.e. for 4967,6979 is 1

LCM of denominators i.e. for 625,7711 is 4819375.

Thus, GCF of Fractions is 1/4819375.Finally, GCF of Fractions for 4967/625, 6979/7711 is 1/4819375.