Greatest Common Factor of 404/910, 740/338, 351/910

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 404/910, 740/338, 351/910

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 404/910,740/338,351/910

Given fractions are 404/910,740/338,351/910

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 404,740,351

Greatest Common Factor of Numerators i.e. GCF of 404,740,351 is 1 .

LCM of Denominators means LCM of 910,338,910 as per the given fractions.

LCM of 910,338,910 is 11830 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 404,740,351

GCF of Fractions 404/910,740/338,351/910 is 1/11830

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

Greatest Common Factor of 404,740,351 By Matching Biggest Common Factor Method

Greatest Common Factor of 404,740,351 By Matching Biggest Common Factor Method

Factors of 404

List of positive integer factors of 404 that divides 404 without a remainder.

1,2,4,101,202,404

Factors of 740

List of positive integer factors of 740 that divides 740 without a remainder.

1,2,4,5,10,20,37,74,148,185,370,740

Factors of 351

List of positive integer factors of 351 that divides 351 without a remainder.

1,3,9,13,27,39,117,351

Greatest Common Factor

We found the factors 404,740,351 . The biggest common factor number is the GCF number.
So the greatest common factor 404,740,351 is 1.

Lets's calculate LCM of 910,338,910

2 910, 338, 910
5 455, 169, 455
7 91, 169, 91
13 13, 169, 13
1, 1, 13

∴ So the LCM of the given numbers is 2 x 5 x 7 x 13 x 1 x 1 x 13 = 11830

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/11830

Therefore, the GCF of Fractions 404/910,740/338,351/910 is 1/11830

Least Common Multiple of 910,338,910 with GCF Formula

Least Common Multiple of 910,338,910 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 910,338,910 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(910,338,910) = 26

common factors(in case of two or more numbers have common factors) = 910

GCF(910,338,910) x common factors =26 x 910 = 23660

LCM(910,338,910) = ( 910 × 338 × 910 ) / 23660

LCM(910,338,910) = 279897800 / 23660

LCM(910,338,910) = 11830


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 404/910, 740/338, 351/910

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 404/910, 740/338, 351/910?

Answer: GCF of Numerators as per given numbers 404/910, 740/338, 351/910 is

GCF of Numerators i.e. for 404,740,351 is 1

LCM of denominators i.e. for 910,338,910 is 11830.

Thus, GCF of Fractions is 1/11830.Finally, GCF of Fractions for 404/910, 740/338, 351/910 is 1/11830.