Greatest Common Factor of 9649/538, 1239/8171

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9649/538, 1239/8171

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 9649/538,1239/8171

Given fractions are 9649/538,1239/8171

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 9649,1239

Greatest Common Factor of Numerators i.e. GCF of 9649,1239 is 1 .

LCM of Denominators means LCM of 538,8171 as per the given fractions.

LCM of 538,8171 is 4395998 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9649,1239

GCF of Fractions 9649/538,1239/8171 is 1/4395998

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

Greatest Common Factor of 9649,1239 By Matching Biggest Common Factor Method

Greatest Common Factor of 9649,1239 By Matching Biggest Common Factor Method

Factors of 9649

List of positive integer factors of 9649 that divides 9649 without a remainder.

1,9649

Factors of 1239

List of positive integer factors of 1239 that divides 1239 without a remainder.

1,3,7,21,59,177,413,1239

Greatest Common Factor

We found the factors 9649,1239 . The biggest common factor number is the GCF number.
So the greatest common factor 9649,1239 is 1.

Lets's calculate LCM of 538,8171

Given numbers has no common factors except 1. So, there LCM is their product i.e 4395998

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4395998

Therefore, the GCF of Fractions 9649/538,1239/8171 is 1/4395998

Least Common Multiple of 538,8171 with GCF Formula

Least Common Multiple of 538,8171 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 538,8171 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(538,8171) = 1

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

GCF(538,8171) x common factors =1 x 1 = 1

LCM(538,8171) = ( 538 × 8171 ) / 1

LCM(538,8171) = 4395998 / 1

LCM(538,8171) = 4395998


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 9649/538, 1239/8171

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 9649/538, 1239/8171?

Answer: GCF of Numerators as per given numbers 9649/538, 1239/8171 is

GCF of Numerators i.e. for 9649,1239 is 1

LCM of denominators i.e. for 538,8171 is 4395998.

Thus, GCF of Fractions is 1/4395998.Finally, GCF of Fractions for 9649/538, 1239/8171 is 1/4395998.