Greatest Common Factor of 742/731, 398/598, 815/929

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 742/731, 398/598, 815/929

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 742/731,398/598,815/929

Given fractions are 742/731,398/598,815/929

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 742,398,815

Greatest Common Factor of Numerators i.e. GCF of 742,398,815 is 1 .

LCM of Denominators means LCM of 731,598,929 as per the given fractions.

LCM of 731,598,929 is 406101202 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 742,398,815

GCF of Fractions 742/731,398/598,815/929 is 1/406101202

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

Greatest Common Factor of 742,398,815 By Matching Biggest Common Factor Method

Greatest Common Factor of 742,398,815 By Matching Biggest Common Factor Method

Factors of 742

List of positive integer factors of 742 that divides 742 without a remainder.

1,2,7,14,53,106,371,742

Factors of 398

List of positive integer factors of 398 that divides 398 without a remainder.

1,2,199,398

Factors of 815

List of positive integer factors of 815 that divides 815 without a remainder.

1,5,163,815

Greatest Common Factor

We found the factors 742,398,815 . The biggest common factor number is the GCF number.
So the greatest common factor 742,398,815 is 1.

Lets's calculate LCM of 731,598,929

Given numbers has no common factors except 1. So, there LCM is their product i.e 406101202

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/406101202

Therefore, the GCF of Fractions 742/731,398/598,815/929 is 1/406101202

Least Common Multiple of 731,598,929 with GCF Formula

Least Common Multiple of 731,598,929 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 731,598,929 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(731,598,929) = 1

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

GCF(731,598,929) x common factors =1 x 1 = 1

LCM(731,598,929) = ( 731 × 598 × 929 ) / 1

LCM(731,598,929) = 406101202 / 1

LCM(731,598,929) = 406101202


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 742/731, 398/598, 815/929

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 742/731, 398/598, 815/929?

Answer: GCF of Numerators as per given numbers 742/731, 398/598, 815/929 is

GCF of Numerators i.e. for 742,398,815 is 1

LCM of denominators i.e. for 731,598,929 is 406101202.

Thus, GCF of Fractions is 1/406101202.Finally, GCF of Fractions for 742/731, 398/598, 815/929 is 1/406101202.