Greatest Common Factor of 9646/517, 3424/3860

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9646/517, 3424/3860

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 9646/517,3424/3860

Given fractions are 9646/517,3424/3860

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 9646,3424

Greatest Common Factor of Numerators i.e. GCF of 9646,3424 is 2 .

LCM of Denominators means LCM of 517,3860 as per the given fractions.

LCM of 517,3860 is 1995620 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9646,3424

GCF of Fractions 9646/517,3424/3860 is 2/1995620

2 9646, 3424
4823, 1712

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

Greatest Common Factor of 9646,3424 By Matching Biggest Common Factor Method

Greatest Common Factor of 9646,3424 By Matching Biggest Common Factor Method

Factors of 9646

List of positive integer factors of 9646 that divides 9646 without a remainder.

1,2,7,13,14,26,53,91,106,182,371,689,742,1378,4823,9646

Factors of 3424

List of positive integer factors of 3424 that divides 3424 without a remainder.

1,2,4,8,16,32,107,214,428,856,1712,3424

Greatest Common Factor

We found the factors 9646,3424 . The biggest common factor number is the GCF number.
So the greatest common factor 9646,3424 is 2.

Lets's calculate LCM of 517,3860

Given numbers has no common factors except 1. So, there LCM is their product i.e 1995620

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1995620

Therefore, the GCF of Fractions 9646/517,3424/3860 is 2/1995620

Least Common Multiple of 517,3860 with GCF Formula

Least Common Multiple of 517,3860 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 517,3860 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(517,3860) = 1

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

GCF(517,3860) x common factors =1 x 1 = 1

LCM(517,3860) = ( 517 × 3860 ) / 1

LCM(517,3860) = 1995620 / 1

LCM(517,3860) = 1995620


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 9646/517, 3424/3860

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 9646/517, 3424/3860?

Answer: GCF of Numerators as per given numbers 9646/517, 3424/3860 is

GCF of Numerators i.e. for 9646,3424 is 2

LCM of denominators i.e. for 517,3860 is 1995620.

Thus, GCF of Fractions is 2/1995620.Finally, GCF of Fractions for 9646/517, 3424/3860 is 2/1995620.