Greatest Common Factor of 3239/685, 7152/9865

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3239/685, 7152/9865

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 3239/685,7152/9865

Given fractions are 3239/685,7152/9865

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 3239,7152

Greatest Common Factor of Numerators i.e. GCF of 3239,7152 is 1 .

LCM of Denominators means LCM of 685,9865 as per the given fractions.

LCM of 685,9865 is 1351505 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3239,7152

GCF of Fractions 3239/685,7152/9865 is 1/1351505

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

Greatest Common Factor of 3239,7152 By Matching Biggest Common Factor Method

Greatest Common Factor of 3239,7152 By Matching Biggest Common Factor Method

Factors of 3239

List of positive integer factors of 3239 that divides 3239 without a remainder.

1,41,79,3239

Factors of 7152

List of positive integer factors of 7152 that divides 7152 without a remainder.

1,2,3,4,6,8,12,16,24,48,149,298,447,596,894,1192,1788,2384,3576,7152

Greatest Common Factor

We found the factors 3239,7152 . The biggest common factor number is the GCF number.
So the greatest common factor 3239,7152 is 1.

Lets's calculate LCM of 685,9865

5 685, 9865
137, 1973

∴ So the LCM of the given numbers is 5 x 137 x 1973 = 1351505

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1351505

Therefore, the GCF of Fractions 3239/685,7152/9865 is 1/1351505

Least Common Multiple of 685,9865 with GCF Formula

Least Common Multiple of 685,9865 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 685,9865 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(685,9865) = 5

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

GCF(685,9865) x common factors =5 x 1 = 5

LCM(685,9865) = ( 685 × 9865 ) / 5

LCM(685,9865) = 6757525 / 5

LCM(685,9865) = 1351505


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 3239/685, 7152/9865

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 3239/685, 7152/9865?

Answer: GCF of Numerators as per given numbers 3239/685, 7152/9865 is

GCF of Numerators i.e. for 3239,7152 is 1

LCM of denominators i.e. for 685,9865 is 1351505.

Thus, GCF of Fractions is 1/1351505.Finally, GCF of Fractions for 3239/685, 7152/9865 is 1/1351505.