Greatest Common Factor of 742/665, 626/818, 721/951

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 742/665, 626/818, 721/951

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 742/665,626/818,721/951

Given fractions are 742/665,626/818,721/951

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 742,626,721

Greatest Common Factor of Numerators i.e. GCF of 742,626,721 is 1 .

LCM of Denominators means LCM of 665,818,951 as per the given fractions.

LCM of 665,818,951 is 517315470 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 742,626,721

GCF of Fractions 742/665,626/818,721/951 is 1/517315470

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

Greatest Common Factor of 742,626,721 By Matching Biggest Common Factor Method

Greatest Common Factor of 742,626,721 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 626

List of positive integer factors of 626 that divides 626 without a remainder.

1,2,313,626

Factors of 721

List of positive integer factors of 721 that divides 721 without a remainder.

1,7,103,721

Greatest Common Factor

We found the factors 742,626,721 . The biggest common factor number is the GCF number.
So the greatest common factor 742,626,721 is 1.

Lets's calculate LCM of 665,818,951

Given numbers has no common factors except 1. So, there LCM is their product i.e 517315470

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/517315470

Therefore, the GCF of Fractions 742/665,626/818,721/951 is 1/517315470

Least Common Multiple of 665,818,951 with GCF Formula

Least Common Multiple of 665,818,951 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 665,818,951 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(665,818,951) = 1

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

GCF(665,818,951) x common factors =1 x 1 = 1

LCM(665,818,951) = ( 665 × 818 × 951 ) / 1

LCM(665,818,951) = 517315470 / 1

LCM(665,818,951) = 517315470


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 742/665, 626/818, 721/951

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 742/665, 626/818, 721/951?

Answer: GCF of Numerators as per given numbers 742/665, 626/818, 721/951 is

GCF of Numerators i.e. for 742,626,721 is 1

LCM of denominators i.e. for 665,818,951 is 517315470.

Thus, GCF of Fractions is 1/517315470.Finally, GCF of Fractions for 742/665, 626/818, 721/951 is 1/517315470.