Greatest Common Factor of 926/35, 403/31, 883/72

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 926/35, 403/31, 883/72

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 926/35,403/31,883/72

Given fractions are 926/35,403/31,883/72

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 926,403,883

Greatest Common Factor of Numerators i.e. GCF of 926,403,883 is 1 .

LCM of Denominators means LCM of 35,31,72 as per the given fractions.

LCM of 35,31,72 is 78120 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 926,403,883

GCF of Fractions 926/35,403/31,883/72 is 1/78120

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

Greatest Common Factor of 926,403,883 By Matching Biggest Common Factor Method

Greatest Common Factor of 926,403,883 By Matching Biggest Common Factor Method

Factors of 926

List of positive integer factors of 926 that divides 926 without a remainder.

1,2,463,926

Factors of 403

List of positive integer factors of 403 that divides 403 without a remainder.

1,13,31,403

Factors of 883

List of positive integer factors of 883 that divides 883 without a remainder.

1,883

Greatest Common Factor

We found the factors 926,403,883 . The biggest common factor number is the GCF number.
So the greatest common factor 926,403,883 is 1.

Lets's calculate LCM of 35,31,72

Given numbers has no common factors except 1. So, there LCM is their product i.e 78120

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/78120

Therefore, the GCF of Fractions 926/35,403/31,883/72 is 1/78120

Least Common Multiple of 35,31,72 with GCF Formula

Least Common Multiple of 35,31,72 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 35,31,72 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(35,31,72) = 1

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

GCF(35,31,72) x common factors =1 x 1 = 1

LCM(35,31,72) = ( 35 × 31 × 72 ) / 1

LCM(35,31,72) = 78120 / 1

LCM(35,31,72) = 78120


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 926/35, 403/31, 883/72

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 926/35, 403/31, 883/72?

Answer: GCF of Numerators as per given numbers 926/35, 403/31, 883/72 is

GCF of Numerators i.e. for 926,403,883 is 1

LCM of denominators i.e. for 35,31,72 is 78120.

Thus, GCF of Fractions is 1/78120.Finally, GCF of Fractions for 926/35, 403/31, 883/72 is 1/78120.