Greatest Common Factor of 844/42, 974/36, 970/749

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 844/42, 974/36, 970/749

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 844/42,974/36,970/749

Given fractions are 844/42,974/36,970/749

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 844,974,970

Greatest Common Factor of Numerators i.e. GCF of 844,974,970 is 2 .

LCM of Denominators means LCM of 42,36,749 as per the given fractions.

LCM of 42,36,749 is 26964 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 844,974,970

GCF of Fractions 844/42,974/36,970/749 is 2/26964

2 844, 974, 970
422, 487, 485

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

Greatest Common Factor of 844,974,970 By Matching Biggest Common Factor Method

Greatest Common Factor of 844,974,970 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 974

List of positive integer factors of 974 that divides 974 without a remainder.

1,2,487,974

Factors of 970

List of positive integer factors of 970 that divides 970 without a remainder.

1,2,5,10,97,194,485,970

Greatest Common Factor

We found the factors 844,974,970 . The biggest common factor number is the GCF number.
So the greatest common factor 844,974,970 is 2.

Lets's calculate LCM of 42,36,749

2 42, 36, 749
3 21, 18, 749
7 7, 6, 749
1, 6, 107

∴ So the LCM of the given numbers is 2 x 3 x 7 x 1 x 6 x 107 = 26964

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/26964

Therefore, the GCF of Fractions 844/42,974/36,970/749 is 2/26964

Least Common Multiple of 42,36,749 with GCF Formula

Least Common Multiple of 42,36,749 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 42,36,749 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,36,749) = 1

common factors(in case of two or more numbers have common factors) = 42

GCF(42,36,749) x common factors =1 x 42 = 42

LCM(42,36,749) = ( 42 × 36 × 749 ) / 42

LCM(42,36,749) = 1132488 / 42

LCM(42,36,749) = 26964


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 844/42, 974/36, 970/749

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 844/42, 974/36, 970/749?

Answer: GCF of Numerators as per given numbers 844/42, 974/36, 970/749 is

GCF of Numerators i.e. for 844,974,970 is 2

LCM of denominators i.e. for 42,36,749 is 26964.

Thus, GCF of Fractions is 2/26964.Finally, GCF of Fractions for 844/42, 974/36, 970/749 is 2/26964.