Greatest Common Factor of 1/19, 81/79, 74/815, 430/877

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1/19, 81/79, 74/815, 430/877

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 1/19,81/79,74/815,430/877

Given fractions are 1/19,81/79,74/815,430/877

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 1,81,74,430

Greatest Common Factor of Numerators i.e. GCF of 1,81,74,430 is 1 .

LCM of Denominators means LCM of 19,79,815,877 as per the given fractions.

LCM of 19,79,815,877 is 1072847255 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1,81,74,430

GCF of Fractions 1/19,81/79,74/815,430/877 is 1/1072847255

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

Greatest Common Factor of 1,81,74,430 By Matching Biggest Common Factor Method

Greatest Common Factor of 1,81,74,430 By Matching Biggest Common Factor Method

Factors of 1

List of positive integer factors of 1 that divides 1 without a remainder.

1

Factors of 81

List of positive integer factors of 81 that divides 81 without a remainder.

1,3,9,27,81

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Factors of 430

List of positive integer factors of 430 that divides 430 without a remainder.

1,2,5,10,43,86,215,430

Greatest Common Factor

We found the factors 1,81,74,430 . The biggest common factor number is the GCF number.
So the greatest common factor 1,81,74,430 is 1.

Lets's calculate LCM of 19,79,815,877

Given numbers has no common factors except 1. So, there LCM is their product i.e 1072847255

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1072847255

Therefore, the GCF of Fractions 1/19,81/79,74/815,430/877 is 1/1072847255

Least Common Multiple of 19,79,815,877 with GCF Formula

Least Common Multiple of 19,79,815,877 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 19,79,815,877 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(19,79,815,877) = 1

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

GCF(19,79,815,877) x common factors =1 x 1 = 1

LCM(19,79,815,877) = ( 19 × 79 × 815 × 877 ) / 1

LCM(19,79,815,877) = 1072847255 / 1

LCM(19,79,815,877) = 1072847255


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 1/19, 81/79, 74/815, 430/877

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 1/19, 81/79, 74/815, 430/877?

Answer: GCF of Numerators as per given numbers 1/19, 81/79, 74/815, 430/877 is

GCF of Numerators i.e. for 1,81,74,430 is 1

LCM of denominators i.e. for 19,79,815,877 is 1072847255.

Thus, GCF of Fractions is 1/1072847255.Finally, GCF of Fractions for 1/19, 81/79, 74/815, 430/877 is 1/1072847255.