Greatest Common Factor of 1044/925, 1596/968

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1044/925, 1596/968

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 1044/925,1596/968

Given fractions are 1044/925,1596/968

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 1044,1596

Greatest Common Factor of Numerators i.e. GCF of 1044,1596 is 12 .

LCM of Denominators means LCM of 925,968 as per the given fractions.

LCM of 925,968 is 895400 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1044,1596

GCF of Fractions 1044/925,1596/968 is 12/895400

2 1044, 1596
2 522, 798
3 261, 399
87, 133

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Greatest Common Factor of 1044,1596 By Matching Biggest Common Factor Method

Greatest Common Factor of 1044,1596 By Matching Biggest Common Factor Method

Factors of 1044

List of positive integer factors of 1044 that divides 1044 without a remainder.

1,2,3,4,6,9,12,18,29,36,58,87,116,174,261,348,522,1044

Factors of 1596

List of positive integer factors of 1596 that divides 1596 without a remainder.

1,2,3,4,6,7,12,14,19,21,28,38,42,57,76,84,114,133,228,266,399,532,798,1596

Greatest Common Factor

We found the factors 1044,1596 . The biggest common factor number is the GCF number.
So the greatest common factor 1044,1596 is 12.

Lets's calculate LCM of 925,968

Given numbers has no common factors except 1. So, there LCM is their product i.e 895400

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/895400

Therefore, the GCF of Fractions 1044/925,1596/968 is 12/895400

Least Common Multiple of 925,968 with GCF Formula

Least Common Multiple of 925,968 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 925,968 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(925,968) = 1

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

GCF(925,968) x common factors =1 x 1 = 1

LCM(925,968) = ( 925 × 968 ) / 1

LCM(925,968) = 895400 / 1

LCM(925,968) = 895400


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 1044/925, 1596/968

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 1044/925, 1596/968?

Answer: GCF of Numerators as per given numbers 1044/925, 1596/968 is

GCF of Numerators i.e. for 1044,1596 is 12

LCM of denominators i.e. for 925,968 is 895400.

Thus, GCF of Fractions is 12/895400.Finally, GCF of Fractions for 1044/925, 1596/968 is 12/895400.