Greatest Common Factor of 144/74, 956/946

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 144/74, 956/946

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 144/74,956/946

Given fractions are 144/74,956/946

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 144,956

Greatest Common Factor of Numerators i.e. GCF of 144,956 is 4 .

LCM of Denominators means LCM of 74,946 as per the given fractions.

LCM of 74,946 is 35002 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 144,956

GCF of Fractions 144/74,956/946 is 4/35002

2 144, 956
2 72, 478
36, 239

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 144,956 By Matching Biggest Common Factor Method

Greatest Common Factor of 144,956 By Matching Biggest Common Factor Method

Factors of 144

List of positive integer factors of 144 that divides 144 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,36,48,72,144

Factors of 956

List of positive integer factors of 956 that divides 956 without a remainder.

1,2,4,239,478,956

Greatest Common Factor

We found the factors 144,956 . The biggest common factor number is the GCF number.
So the greatest common factor 144,956 is 4.

Lets's calculate LCM of 74,946

2 74, 946
37, 473

∴ So the LCM of the given numbers is 2 x 37 x 473 = 35002

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/35002

Therefore, the GCF of Fractions 144/74,956/946 is 4/35002

Least Common Multiple of 74,946 with GCF Formula

Least Common Multiple of 74,946 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 74,946 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,946) = 2

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

GCF(74,946) x common factors =2 x 1 = 2

LCM(74,946) = ( 74 × 946 ) / 2

LCM(74,946) = 70004 / 2

LCM(74,946) = 35002


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 144/74, 956/946

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 144/74, 956/946?

Answer: GCF of Numerators as per given numbers 144/74, 956/946 is

GCF of Numerators i.e. for 144,956 is 4

LCM of denominators i.e. for 74,946 is 35002.

Thus, GCF of Fractions is 4/35002.Finally, GCF of Fractions for 144/74, 956/946 is 4/35002.