Greatest Common Factor of 5815/760, 9685/4107

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5815/760, 9685/4107

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 5815/760,9685/4107

Given fractions are 5815/760,9685/4107

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 5815,9685

Greatest Common Factor of Numerators i.e. GCF of 5815,9685 is 5 .

LCM of Denominators means LCM of 760,4107 as per the given fractions.

LCM of 760,4107 is 3121320 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5815,9685

GCF of Fractions 5815/760,9685/4107 is 5/3121320

5 5815, 9685
1163, 1937

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 5815,9685 By Matching Biggest Common Factor Method

Greatest Common Factor of 5815,9685 By Matching Biggest Common Factor Method

Factors of 5815

List of positive integer factors of 5815 that divides 5815 without a remainder.

1,5,1163,5815

Factors of 9685

List of positive integer factors of 9685 that divides 9685 without a remainder.

1,5,13,65,149,745,1937,9685

Greatest Common Factor

We found the factors 5815,9685 . The biggest common factor number is the GCF number.
So the greatest common factor 5815,9685 is 5.

Lets's calculate LCM of 760,4107

Given numbers has no common factors except 1. So, there LCM is their product i.e 3121320

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/3121320

Therefore, the GCF of Fractions 5815/760,9685/4107 is 5/3121320

Least Common Multiple of 760,4107 with GCF Formula

Least Common Multiple of 760,4107 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 760,4107 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(760,4107) = 1

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

GCF(760,4107) x common factors =1 x 1 = 1

LCM(760,4107) = ( 760 × 4107 ) / 1

LCM(760,4107) = 3121320 / 1

LCM(760,4107) = 3121320


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 5815/760, 9685/4107

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 5815/760, 9685/4107?

Answer: GCF of Numerators as per given numbers 5815/760, 9685/4107 is

GCF of Numerators i.e. for 5815,9685 is 5

LCM of denominators i.e. for 760,4107 is 3121320.

Thus, GCF of Fractions is 5/3121320.Finally, GCF of Fractions for 5815/760, 9685/4107 is 5/3121320.