Greatest Common Factor of 844/914, 1438/912

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 844/914, 1438/912

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 844/914,1438/912

Given fractions are 844/914,1438/912

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 844,1438

Greatest Common Factor of Numerators i.e. GCF of 844,1438 is 2 .

LCM of Denominators means LCM of 914,912 as per the given fractions.

LCM of 914,912 is 416784 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 844,1438

GCF of Fractions 844/914,1438/912 is 2/416784

2 844, 1438
422, 719

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

Greatest Common Factor of 844,1438 By Matching Biggest Common Factor Method

Greatest Common Factor of 844,1438 By Matching Biggest Common Factor Method

Factors of 844

List of positive integer factors of 844 that divides 844 without a remainder.

1,2,4,211,422,844

Factors of 1438

List of positive integer factors of 1438 that divides 1438 without a remainder.

1,2,719,1438

Greatest Common Factor

We found the factors 844,1438 . The biggest common factor number is the GCF number.
So the greatest common factor 844,1438 is 2.

Lets's calculate LCM of 914,912

2 914, 912
457, 456

∴ So the LCM of the given numbers is 2 x 457 x 456 = 416784

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/416784

Therefore, the GCF of Fractions 844/914,1438/912 is 2/416784

Least Common Multiple of 914,912 with GCF Formula

Least Common Multiple of 914,912 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 914,912 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(914,912) = 2

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

GCF(914,912) x common factors =2 x 1 = 2

LCM(914,912) = ( 914 × 912 ) / 2

LCM(914,912) = 833568 / 2

LCM(914,912) = 416784


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 844/914, 1438/912

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 844/914, 1438/912?

Answer: GCF of Numerators as per given numbers 844/914, 1438/912 is

GCF of Numerators i.e. for 844,1438 is 2

LCM of denominators i.e. for 914,912 is 416784.

Thus, GCF of Fractions is 2/416784.Finally, GCF of Fractions for 844/914, 1438/912 is 2/416784.