Greatest Common Factor of 9137/840, 5514/6700

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9137/840, 5514/6700

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 9137/840,5514/6700

Given fractions are 9137/840,5514/6700

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 9137,5514

Greatest Common Factor of Numerators i.e. GCF of 9137,5514 is 1 .

LCM of Denominators means LCM of 840,6700 as per the given fractions.

LCM of 840,6700 is 281400 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9137,5514

GCF of Fractions 9137/840,5514/6700 is 1/281400

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

Greatest Common Factor of 9137,5514 By Matching Biggest Common Factor Method

Greatest Common Factor of 9137,5514 By Matching Biggest Common Factor Method

Factors of 9137

List of positive integer factors of 9137 that divides 9137 without a remainder.

1,9137

Factors of 5514

List of positive integer factors of 5514 that divides 5514 without a remainder.

1,2,3,6,919,1838,2757,5514

Greatest Common Factor

We found the factors 9137,5514 . The biggest common factor number is the GCF number.
So the greatest common factor 9137,5514 is 1.

Lets's calculate LCM of 840,6700

2 840, 6700
2 420, 3350
5 210, 1675
42, 335

∴ So the LCM of the given numbers is 2 x 2 x 5 x 42 x 335 = 281400

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/281400

Therefore, the GCF of Fractions 9137/840,5514/6700 is 1/281400

Least Common Multiple of 840,6700 with GCF Formula

Least Common Multiple of 840,6700 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 840,6700 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(840,6700) = 20

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

GCF(840,6700) x common factors =20 x 1 = 20

LCM(840,6700) = ( 840 × 6700 ) / 20

LCM(840,6700) = 5628000 / 20

LCM(840,6700) = 281400


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 9137/840, 5514/6700

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 9137/840, 5514/6700?

Answer: GCF of Numerators as per given numbers 9137/840, 5514/6700 is

GCF of Numerators i.e. for 9137,5514 is 1

LCM of denominators i.e. for 840,6700 is 281400.

Thus, GCF of Fractions is 1/281400.Finally, GCF of Fractions for 9137/840, 5514/6700 is 1/281400.