Greatest Common Factor of 38/747, 687/359, 467/167

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 38/747, 687/359, 467/167

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 38/747,687/359,467/167

Given fractions are 38/747,687/359,467/167

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 38,687,467

Greatest Common Factor of Numerators i.e. GCF of 38,687,467 is 1 .

LCM of Denominators means LCM of 747,359,167 as per the given fractions.

LCM of 747,359,167 is 44784891 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 38,687,467

GCF of Fractions 38/747,687/359,467/167 is 1/44784891

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

Greatest Common Factor of 38,687,467 By Matching Biggest Common Factor Method

Greatest Common Factor of 38,687,467 By Matching Biggest Common Factor Method

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 687

List of positive integer factors of 687 that divides 687 without a remainder.

1,3,229,687

Factors of 467

List of positive integer factors of 467 that divides 467 without a remainder.

1,467

Greatest Common Factor

We found the factors 38,687,467 . The biggest common factor number is the GCF number.
So the greatest common factor 38,687,467 is 1.

Lets's calculate LCM of 747,359,167

Given numbers has no common factors except 1. So, there LCM is their product i.e 44784891

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/44784891

Therefore, the GCF of Fractions 38/747,687/359,467/167 is 1/44784891

Least Common Multiple of 747,359,167 with GCF Formula

Least Common Multiple of 747,359,167 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 747,359,167 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(747,359,167) = 1

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

GCF(747,359,167) x common factors =1 x 1 = 1

LCM(747,359,167) = ( 747 × 359 × 167 ) / 1

LCM(747,359,167) = 44784891 / 1

LCM(747,359,167) = 44784891


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 38/747, 687/359, 467/167

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 38/747, 687/359, 467/167?

Answer: GCF of Numerators as per given numbers 38/747, 687/359, 467/167 is

GCF of Numerators i.e. for 38,687,467 is 1

LCM of denominators i.e. for 747,359,167 is 44784891.

Thus, GCF of Fractions is 1/44784891.Finally, GCF of Fractions for 38/747, 687/359, 467/167 is 1/44784891.