Greatest Common Factor of 5/68, 12/67, 93/755, 657/785

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5/68, 12/67, 93/755, 657/785

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 5/68,12/67,93/755,657/785

Given fractions are 5/68,12/67,93/755,657/785

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 5,12,93,657

Greatest Common Factor of Numerators i.e. GCF of 5,12,93,657 is 1 .

LCM of Denominators means LCM of 68,67,755,785 as per the given fractions.

LCM of 68,67,755,785 is 540045460 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5,12,93,657

GCF of Fractions 5/68,12/67,93/755,657/785 is 1/540045460

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

Greatest Common Factor of 5,12,93,657 By Matching Biggest Common Factor Method

Greatest Common Factor of 5,12,93,657 By Matching Biggest Common Factor Method

Factors of 5

List of positive integer factors of 5 that divides 5 without a remainder.

1,5

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 93

List of positive integer factors of 93 that divides 93 without a remainder.

1,3,31,93

Factors of 657

List of positive integer factors of 657 that divides 657 without a remainder.

1,3,9,73,219,657

Greatest Common Factor

We found the factors 5,12,93,657 . The biggest common factor number is the GCF number.
So the greatest common factor 5,12,93,657 is 1.

Lets's calculate LCM of 68,67,755,785

5 68, 67, 755, 785
68, 67, 151, 157

∴ So the LCM of the given numbers is 5 x 68 x 67 x 151 x 157 = 540045460

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/540045460

Therefore, the GCF of Fractions 5/68,12/67,93/755,657/785 is 1/540045460

Least Common Multiple of 68,67,755,785 with GCF Formula

Least Common Multiple of 68,67,755,785 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 68,67,755,785 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(68,67,755,785) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(68,67,755,785) x common factors =1 x 5 = 5

LCM(68,67,755,785) = ( 68 × 67 × 755 × 785 ) / 5

LCM(68,67,755,785) = 2700227300 / 5

LCM(68,67,755,785) = 540045460


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 5/68, 12/67, 93/755, 657/785

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 5/68, 12/67, 93/755, 657/785?

Answer: GCF of Numerators as per given numbers 5/68, 12/67, 93/755, 657/785 is

GCF of Numerators i.e. for 5,12,93,657 is 1

LCM of denominators i.e. for 68,67,755,785 is 540045460.

Thus, GCF of Fractions is 1/540045460.Finally, GCF of Fractions for 5/68, 12/67, 93/755, 657/785 is 1/540045460.