Greatest Common Factor of 178/964, 7488/7073

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 178/964, 7488/7073

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 178/964,7488/7073

Given fractions are 178/964,7488/7073

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 178,7488

Greatest Common Factor of Numerators i.e. GCF of 178,7488 is 2 .

LCM of Denominators means LCM of 964,7073 as per the given fractions.

LCM of 964,7073 is 6818372 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 178,7488

GCF of Fractions 178/964,7488/7073 is 2/6818372

2 178, 7488
89, 3744

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

Greatest Common Factor of 178,7488 By Matching Biggest Common Factor Method

Greatest Common Factor of 178,7488 By Matching Biggest Common Factor Method

Factors of 178

List of positive integer factors of 178 that divides 178 without a remainder.

1,2,89,178

Factors of 7488

List of positive integer factors of 7488 that divides 7488 without a remainder.

1,2,3,4,6,8,9,12,13,16,18,24,26,32,36,39,48,52,64,72,78,96,104,117,144,156,192,208,234,288,312,416,468,576,624,832,936,1248,1872,2496,3744,7488

Greatest Common Factor

We found the factors 178,7488 . The biggest common factor number is the GCF number.
So the greatest common factor 178,7488 is 2.

Lets's calculate LCM of 964,7073

Given numbers has no common factors except 1. So, there LCM is their product i.e 6818372

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/6818372

Therefore, the GCF of Fractions 178/964,7488/7073 is 2/6818372

Least Common Multiple of 964,7073 with GCF Formula

Least Common Multiple of 964,7073 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 964,7073 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(964,7073) = 1

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

GCF(964,7073) x common factors =1 x 1 = 1

LCM(964,7073) = ( 964 × 7073 ) / 1

LCM(964,7073) = 6818372 / 1

LCM(964,7073) = 6818372


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 178/964, 7488/7073

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 178/964, 7488/7073?

Answer: GCF of Numerators as per given numbers 178/964, 7488/7073 is

GCF of Numerators i.e. for 178,7488 is 2

LCM of denominators i.e. for 964,7073 is 6818372.

Thus, GCF of Fractions is 2/6818372.Finally, GCF of Fractions for 178/964, 7488/7073 is 2/6818372.