Greatest Common Factor of 714/61, 6982/802

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 714/61, 6982/802

Enter two or more fractions separated by "commas"

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

GCF of:

Greatest Common Factor of 714/61,6982/802

Given fractions are 714/61,6982/802

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 714,6982

Greatest Common Factor of Numerators i.e. GCF of 714,6982 is 2 .

LCM of Denominators means LCM of 61,802 as per the given fractions.

LCM of 61,802 is 48922 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 714,6982

GCF of Fractions 714/61,6982/802 is 2/48922

2 714, 6982
357, 3491

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 714,6982 By Matching Biggest Common Factor Method

Greatest Common Factor of 714,6982 By Matching Biggest Common Factor Method

Factors of 714

List of positive integer factors of 714 that divides 714 without a remainder.

1,2,3,6,7,14,17,21,34,42,51,102,119,238,357,714

Factors of 6982

List of positive integer factors of 6982 that divides 6982 without a remainder.

1,2,3491,6982

Greatest Common Factor

We found the factors 714,6982 . The biggest common factor number is the GCF number.
So the greatest common factor 714,6982 is 2.

Lets's calculate LCM of 61,802

Given numbers has no common factors except 1. So, there LCM is their product i.e 48922

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/48922

Therefore, the GCF of Fractions 714/61,6982/802 is 2/48922

Least Common Multiple of 61,802 with GCF Formula

Least Common Multiple of 61,802 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 61,802 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(61,802) = 1

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

GCF(61,802) x common factors =1 x 1 = 1

LCM(61,802) = ( 61 × 802 ) / 1

LCM(61,802) = 48922 / 1

LCM(61,802) = 48922


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 714/61, 6982/802

1. 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.

2. What is the GCF of Fractions for 714/61, 6982/802?

Answer: GCF of Numerators as per given numbers 714/61, 6982/802 is

GCF of Numerators i.e. for 714,6982 is 2

LCM of denominators i.e. for 61,802 is 48922.

Thus, GCF of Fractions is 2/48922.Finally, GCF of Fractions for 714/61, 6982/802 is 2/48922.