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GCF of 7079/777, 6641/7976

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 7079/777, 6641/7976 i.e 1/6197352 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7079/777, 6641/7976.

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 7079/777,6641/7976?

Given fractions are 7079/777,6641/7976

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 7079/777,6641/7976, numerators are 7079,6641

Denominators are 777,7976

The GCF of 7079,6641 is 1 .

LCM of 777,7976 is 6197352.

The greatest common factor of 7079/777,6641/7976 = [GCF of 7079,6641]/[LCM of 777,7976]= 1/6197352

Therefore, the GCF of 7079/777,6641/7976 is 1/6197352.

Greatest Common Factor of 7079,6641

To find the highest common factor of 7079,6641, we have to find the factors of both numbers and list the highest common factor.

The factors of 7079 are 1, 7079

The factors of 6641 are 1, 29, 229, 6641

The HCF of 7079,6641 is 1.

Lets's calculate GCF of 7079,6641

Greatest Common Factor (GCF) of 7079,6641 By Common Division

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

Greatest Common Factor of 7079,6641 By Matching Biggest Common Factor Method

Greatest Common Factor of 7079,6641 By Matching Biggest Common Factor Method

Now, list down the factors of 7079

:

1,7079

Now, list down the factors of 6641

:

1,29,229,6641

Greatest Common Factor

We found the factors 7079,6641 . The biggest common factor number is the GCF number.
So the greatest common factor 7079,6641 is 1.

Lets's calculate LCM of 777,7976

Lowest Common Multiple of 777,7976 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 6197352

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6197352

Therefore, the GCF of Fractions 7079/777,6641/7976 is 1/6197352

Least Common Multiple of 777,7976 with GCF Formula

Least Common Multiple of 777,7976 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 777,7976 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(777,7976) = 1

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

GCF(777,7976) x common factors =1 x 1 = 1

LCM(777,7976) = ( 777 × 7976 ) / 1

LCM(777,7976) = 6197352 / 1

LCM(777,7976) = 6197352


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FAQs on GCF of Fractions of 7079/777, 6641/7976

1. What is the HCF of 7079,6641?

The HCF of 7079,6641 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 7079/777, 6641/7976?

Answer: GCF of Numerators as per given numbers 7079/777, 6641/7976 is

GCF of Numerators i.e. for 7079,6641 is 1

LCM of denominators i.e. for 777,7976 is 6197352.

Thus, GCF of Fractions is 1/6197352.Finally, GCF of Fractions for 7079/777, 6641/7976 is 1/6197352.