Greatest Common Factor of 6972/417, 9731/7280

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6972/417, 9731/7280

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 6972/417,9731/7280

Given fractions are 6972/417,9731/7280

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 6972,9731

Greatest Common Factor of Numerators i.e. GCF of 6972,9731 is 1 .

LCM of Denominators means LCM of 417,7280 as per the given fractions.

LCM of 417,7280 is 3035760 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6972,9731

GCF of Fractions 6972/417,9731/7280 is 1/3035760

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

Greatest Common Factor of 6972,9731 By Matching Biggest Common Factor Method

Greatest Common Factor of 6972,9731 By Matching Biggest Common Factor Method

Factors of 6972

List of positive integer factors of 6972 that divides 6972 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,83,84,166,249,332,498,581,996,1162,1743,2324,3486,6972

Factors of 9731

List of positive integer factors of 9731 that divides 9731 without a remainder.

1,37,263,9731

Greatest Common Factor

We found the factors 6972,9731 . The biggest common factor number is the GCF number.
So the greatest common factor 6972,9731 is 1.

Lets's calculate LCM of 417,7280

Given numbers has no common factors except 1. So, there LCM is their product i.e 3035760

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3035760

Therefore, the GCF of Fractions 6972/417,9731/7280 is 1/3035760

Least Common Multiple of 417,7280 with GCF Formula

Least Common Multiple of 417,7280 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 417,7280 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(417,7280) = 1

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

GCF(417,7280) x common factors =1 x 1 = 1

LCM(417,7280) = ( 417 × 7280 ) / 1

LCM(417,7280) = 3035760 / 1

LCM(417,7280) = 3035760


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 6972/417, 9731/7280

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 6972/417, 9731/7280?

Answer: GCF of Numerators as per given numbers 6972/417, 9731/7280 is

GCF of Numerators i.e. for 6972,9731 is 1

LCM of denominators i.e. for 417,7280 is 3035760.

Thus, GCF of Fractions is 1/3035760.Finally, GCF of Fractions for 6972/417, 9731/7280 is 1/3035760.