Greatest Common Factor of 9649/80, 8127/504

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9649/80, 8127/504

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 9649/80,8127/504

Given fractions are 9649/80,8127/504

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 9649,8127

Greatest Common Factor of Numerators i.e. GCF of 9649,8127 is 1 .

LCM of Denominators means LCM of 80,504 as per the given fractions.

LCM of 80,504 is 5040 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9649,8127

GCF of Fractions 9649/80,8127/504 is 1/5040

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

Greatest Common Factor of 9649,8127 By Matching Biggest Common Factor Method

Greatest Common Factor of 9649,8127 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 8127

List of positive integer factors of 8127 that divides 8127 without a remainder.

1,3,7,9,21,27,43,63,129,189,301,387,903,1161,2709,8127

Greatest Common Factor

We found the factors 9649,8127 . The biggest common factor number is the GCF number.
So the greatest common factor 9649,8127 is 1.

Lets's calculate LCM of 80,504

2 80, 504
2 40, 252
2 20, 126
10, 63

∴ So the LCM of the given numbers is 2 x 2 x 2 x 10 x 63 = 5040

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5040

Therefore, the GCF of Fractions 9649/80,8127/504 is 1/5040

Least Common Multiple of 80,504 with GCF Formula

Least Common Multiple of 80,504 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 80,504 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(80,504) = 8

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

GCF(80,504) x common factors =8 x 1 = 8

LCM(80,504) = ( 80 × 504 ) / 8

LCM(80,504) = 40320 / 8

LCM(80,504) = 5040


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 9649/80, 8127/504

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 9649/80, 8127/504?

Answer: GCF of Numerators as per given numbers 9649/80, 8127/504 is

GCF of Numerators i.e. for 9649,8127 is 1

LCM of denominators i.e. for 80,504 is 5040.

Thus, GCF of Fractions is 1/5040.Finally, GCF of Fractions for 9649/80, 8127/504 is 1/5040.