Greatest Common Factor of 1238/45, 6700/537

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1238/45, 6700/537

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 1238/45,6700/537

Given fractions are 1238/45,6700/537

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 1238,6700

Greatest Common Factor of Numerators i.e. GCF of 1238,6700 is 2 .

LCM of Denominators means LCM of 45,537 as per the given fractions.

LCM of 45,537 is 8055 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1238,6700

GCF of Fractions 1238/45,6700/537 is 2/8055

2 1238, 6700
619, 3350

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

Greatest Common Factor of 1238,6700 By Matching Biggest Common Factor Method

Greatest Common Factor of 1238,6700 By Matching Biggest Common Factor Method

Factors of 1238

List of positive integer factors of 1238 that divides 1238 without a remainder.

1,2,619,1238

Factors of 6700

List of positive integer factors of 6700 that divides 6700 without a remainder.

1,2,4,5,10,20,25,50,67,100,134,268,335,670,1340,1675,3350,6700

Greatest Common Factor

We found the factors 1238,6700 . The biggest common factor number is the GCF number.
So the greatest common factor 1238,6700 is 2.

Lets's calculate LCM of 45,537

3 45, 537
15, 179

∴ So the LCM of the given numbers is 3 x 15 x 179 = 8055

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/8055

Therefore, the GCF of Fractions 1238/45,6700/537 is 2/8055

Least Common Multiple of 45,537 with GCF Formula

Least Common Multiple of 45,537 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 45,537 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,537) = 3

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

GCF(45,537) x common factors =3 x 1 = 3

LCM(45,537) = ( 45 × 537 ) / 3

LCM(45,537) = 24165 / 3

LCM(45,537) = 8055


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 1238/45, 6700/537

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 1238/45, 6700/537?

Answer: GCF of Numerators as per given numbers 1238/45, 6700/537 is

GCF of Numerators i.e. for 1238,6700 is 2

LCM of denominators i.e. for 45,537 is 8055.

Thus, GCF of Fractions is 2/8055.Finally, GCF of Fractions for 1238/45, 6700/537 is 2/8055.