Greatest Common Factor of 1358/747, 9657/134

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1358/747, 9657/134

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 1358/747,9657/134

Given fractions are 1358/747,9657/134

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 1358,9657

Greatest Common Factor of Numerators i.e. GCF of 1358,9657 is 1 .

LCM of Denominators means LCM of 747,134 as per the given fractions.

LCM of 747,134 is 100098 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1358,9657

GCF of Fractions 1358/747,9657/134 is 1/100098

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

Greatest Common Factor of 1358,9657 By Matching Biggest Common Factor Method

Greatest Common Factor of 1358,9657 By Matching Biggest Common Factor Method

Factors of 1358

List of positive integer factors of 1358 that divides 1358 without a remainder.

1,2,7,14,97,194,679,1358

Factors of 9657

List of positive integer factors of 9657 that divides 9657 without a remainder.

1,3,9,29,37,87,111,261,333,1073,3219,9657

Greatest Common Factor

We found the factors 1358,9657 . The biggest common factor number is the GCF number.
So the greatest common factor 1358,9657 is 1.

Lets's calculate LCM of 747,134

Given numbers has no common factors except 1. So, there LCM is their product i.e 100098

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/100098

Therefore, the GCF of Fractions 1358/747,9657/134 is 1/100098

Least Common Multiple of 747,134 with GCF Formula

Least Common Multiple of 747,134 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 747,134 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(747,134) = 1

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

GCF(747,134) x common factors =1 x 1 = 1

LCM(747,134) = ( 747 × 134 ) / 1

LCM(747,134) = 100098 / 1

LCM(747,134) = 100098


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 1358/747, 9657/134

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 1358/747, 9657/134?

Answer: GCF of Numerators as per given numbers 1358/747, 9657/134 is

GCF of Numerators i.e. for 1358,9657 is 1

LCM of denominators i.e. for 747,134 is 100098.

Thus, GCF of Fractions is 1/100098.Finally, GCF of Fractions for 1358/747, 9657/134 is 1/100098.