Greatest Common Factor of 35/360, 991/342, 326/338

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 35/360, 991/342, 326/338

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 35/360,991/342,326/338

Given fractions are 35/360,991/342,326/338

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 35,991,326

Greatest Common Factor of Numerators i.e. GCF of 35,991,326 is 1 .

LCM of Denominators means LCM of 360,342,338 as per the given fractions.

LCM of 360,342,338 is 1155960 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 35,991,326

GCF of Fractions 35/360,991/342,326/338 is 1/1155960

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

Greatest Common Factor of 35,991,326 By Matching Biggest Common Factor Method

Greatest Common Factor of 35,991,326 By Matching Biggest Common Factor Method

Factors of 35

List of positive integer factors of 35 that divides 35 without a remainder.

1,5,7,35

Factors of 991

List of positive integer factors of 991 that divides 991 without a remainder.

1,991

Factors of 326

List of positive integer factors of 326 that divides 326 without a remainder.

1,2,163,326

Greatest Common Factor

We found the factors 35,991,326 . The biggest common factor number is the GCF number.
So the greatest common factor 35,991,326 is 1.

Lets's calculate LCM of 360,342,338

2 360, 342, 338
3 180, 171, 169
3 60, 57, 169
20, 19, 169

∴ So the LCM of the given numbers is 2 x 3 x 3 x 20 x 19 x 169 = 1155960

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1155960

Therefore, the GCF of Fractions 35/360,991/342,326/338 is 1/1155960

Least Common Multiple of 360,342,338 with GCF Formula

Least Common Multiple of 360,342,338 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 360,342,338 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(360,342,338) = 2

common factors(in case of two or more numbers have common factors) = 18

GCF(360,342,338) x common factors =2 x 18 = 36

LCM(360,342,338) = ( 360 × 342 × 338 ) / 36

LCM(360,342,338) = 41614560 / 36

LCM(360,342,338) = 1155960


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 35/360, 991/342, 326/338

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 35/360, 991/342, 326/338?

Answer: GCF of Numerators as per given numbers 35/360, 991/342, 326/338 is

GCF of Numerators i.e. for 35,991,326 is 1

LCM of denominators i.e. for 360,342,338 is 1155960.

Thus, GCF of Fractions is 1/1155960.Finally, GCF of Fractions for 35/360, 991/342, 326/338 is 1/1155960.