Greatest Common Factor of 2918/31, 1784/473

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2918/31, 1784/473

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 2918/31,1784/473

Given fractions are 2918/31,1784/473

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 2918,1784

Greatest Common Factor of Numerators i.e. GCF of 2918,1784 is 2 .

LCM of Denominators means LCM of 31,473 as per the given fractions.

LCM of 31,473 is 14663 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2918,1784

GCF of Fractions 2918/31,1784/473 is 2/14663

2 2918, 1784
1459, 892

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 2918,1784 By Matching Biggest Common Factor Method

Greatest Common Factor of 2918,1784 By Matching Biggest Common Factor Method

Factors of 2918

List of positive integer factors of 2918 that divides 2918 without a remainder.

1,2,1459,2918

Factors of 1784

List of positive integer factors of 1784 that divides 1784 without a remainder.

1,2,4,8,223,446,892,1784

Greatest Common Factor

We found the factors 2918,1784 . The biggest common factor number is the GCF number.
So the greatest common factor 2918,1784 is 2.

Lets's calculate LCM of 31,473

Given numbers has no common factors except 1. So, there LCM is their product i.e 14663

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/14663

Therefore, the GCF of Fractions 2918/31,1784/473 is 2/14663

Least Common Multiple of 31,473 with GCF Formula

Least Common Multiple of 31,473 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 31,473 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,473) = 1

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

GCF(31,473) x common factors =1 x 1 = 1

LCM(31,473) = ( 31 × 473 ) / 1

LCM(31,473) = 14663 / 1

LCM(31,473) = 14663


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 2918/31, 1784/473

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 2918/31, 1784/473?

Answer: GCF of Numerators as per given numbers 2918/31, 1784/473 is

GCF of Numerators i.e. for 2918,1784 is 2

LCM of denominators i.e. for 31,473 is 14663.

Thus, GCF of Fractions is 2/14663.Finally, GCF of Fractions for 2918/31, 1784/473 is 2/14663.