Greatest Common Factor of 5872/71, 9709/352

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5872/71, 9709/352

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 5872/71,9709/352

Given fractions are 5872/71,9709/352

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 5872,9709

Greatest Common Factor of Numerators i.e. GCF of 5872,9709 is 1 .

LCM of Denominators means LCM of 71,352 as per the given fractions.

LCM of 71,352 is 24992 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5872,9709

GCF of Fractions 5872/71,9709/352 is 1/24992

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

Greatest Common Factor of 5872,9709 By Matching Biggest Common Factor Method

Greatest Common Factor of 5872,9709 By Matching Biggest Common Factor Method

Factors of 5872

List of positive integer factors of 5872 that divides 5872 without a remainder.

1,2,4,8,16,367,734,1468,2936,5872

Factors of 9709

List of positive integer factors of 9709 that divides 9709 without a remainder.

1,7,19,73,133,511,1387,9709

Greatest Common Factor

We found the factors 5872,9709 . The biggest common factor number is the GCF number.
So the greatest common factor 5872,9709 is 1.

Lets's calculate LCM of 71,352

Given numbers has no common factors except 1. So, there LCM is their product i.e 24992

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/24992

Therefore, the GCF of Fractions 5872/71,9709/352 is 1/24992

Least Common Multiple of 71,352 with GCF Formula

Least Common Multiple of 71,352 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 71,352 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(71,352) = 1

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

GCF(71,352) x common factors =1 x 1 = 1

LCM(71,352) = ( 71 × 352 ) / 1

LCM(71,352) = 24992 / 1

LCM(71,352) = 24992


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 5872/71, 9709/352

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 5872/71, 9709/352?

Answer: GCF of Numerators as per given numbers 5872/71, 9709/352 is

GCF of Numerators i.e. for 5872,9709 is 1

LCM of denominators i.e. for 71,352 is 24992.

Thus, GCF of Fractions is 1/24992.Finally, GCF of Fractions for 5872/71, 9709/352 is 1/24992.