Greatest Common Factor of 38/69, 76/61, 909/118

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 38/69, 76/61, 909/118

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 38/69,76/61,909/118

Given fractions are 38/69,76/61,909/118

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 38,76,909

Greatest Common Factor of Numerators i.e. GCF of 38,76,909 is 1 .

LCM of Denominators means LCM of 69,61,118 as per the given fractions.

LCM of 69,61,118 is 496662 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 38,76,909

GCF of Fractions 38/69,76/61,909/118 is 1/496662

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

Greatest Common Factor of 38,76,909 By Matching Biggest Common Factor Method

Greatest Common Factor of 38,76,909 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 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 909

List of positive integer factors of 909 that divides 909 without a remainder.

1,3,9,101,303,909

Greatest Common Factor

We found the factors 38,76,909 . The biggest common factor number is the GCF number.
So the greatest common factor 38,76,909 is 1.

Lets's calculate LCM of 69,61,118

Given numbers has no common factors except 1. So, there LCM is their product i.e 496662

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/496662

Therefore, the GCF of Fractions 38/69,76/61,909/118 is 1/496662

Least Common Multiple of 69,61,118 with GCF Formula

Least Common Multiple of 69,61,118 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 69,61,118 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,61,118) = 1

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

GCF(69,61,118) x common factors =1 x 1 = 1

LCM(69,61,118) = ( 69 × 61 × 118 ) / 1

LCM(69,61,118) = 496662 / 1

LCM(69,61,118) = 496662


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 38/69, 76/61, 909/118

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 38/69, 76/61, 909/118?

Answer: GCF of Numerators as per given numbers 38/69, 76/61, 909/118 is

GCF of Numerators i.e. for 38,76,909 is 1

LCM of denominators i.e. for 69,61,118 is 496662.

Thus, GCF of Fractions is 1/496662.Finally, GCF of Fractions for 38/69, 76/61, 909/118 is 1/496662.