Greatest Common Factor of 790/42, 472/99, 751/451

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 790/42, 472/99, 751/451

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 790/42,472/99,751/451

Given fractions are 790/42,472/99,751/451

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 790,472,751

Greatest Common Factor of Numerators i.e. GCF of 790,472,751 is 1 .

LCM of Denominators means LCM of 42,99,451 as per the given fractions.

LCM of 42,99,451 is 56826 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 790,472,751

GCF of Fractions 790/42,472/99,751/451 is 1/56826

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

Greatest Common Factor of 790,472,751 By Matching Biggest Common Factor Method

Greatest Common Factor of 790,472,751 By Matching Biggest Common Factor Method

Factors of 790

List of positive integer factors of 790 that divides 790 without a remainder.

1,2,5,10,79,158,395,790

Factors of 472

List of positive integer factors of 472 that divides 472 without a remainder.

1,2,4,8,59,118,236,472

Factors of 751

List of positive integer factors of 751 that divides 751 without a remainder.

1,751

Greatest Common Factor

We found the factors 790,472,751 . The biggest common factor number is the GCF number.
So the greatest common factor 790,472,751 is 1.

Lets's calculate LCM of 42,99,451

3 42, 99, 451
11 14, 33, 451
14, 3, 41

∴ So the LCM of the given numbers is 3 x 11 x 14 x 3 x 41 = 56826

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/56826

Therefore, the GCF of Fractions 790/42,472/99,751/451 is 1/56826

Least Common Multiple of 42,99,451 with GCF Formula

Least Common Multiple of 42,99,451 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 42,99,451 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,99,451) = 1

common factors(in case of two or more numbers have common factors) = 33

GCF(42,99,451) x common factors =1 x 33 = 33

LCM(42,99,451) = ( 42 × 99 × 451 ) / 33

LCM(42,99,451) = 1875258 / 33

LCM(42,99,451) = 56826


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 790/42, 472/99, 751/451

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 790/42, 472/99, 751/451?

Answer: GCF of Numerators as per given numbers 790/42, 472/99, 751/451 is

GCF of Numerators i.e. for 790,472,751 is 1

LCM of denominators i.e. for 42,99,451 is 56826.

Thus, GCF of Fractions is 1/56826.Finally, GCF of Fractions for 790/42, 472/99, 751/451 is 1/56826.