Greatest Common Factor of 470/43, 7144/967

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 470/43, 7144/967

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 470/43,7144/967

Given fractions are 470/43,7144/967

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 470,7144

Greatest Common Factor of Numerators i.e. GCF of 470,7144 is 94 .

LCM of Denominators means LCM of 43,967 as per the given fractions.

LCM of 43,967 is 41581 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 470,7144

GCF of Fractions 470/43,7144/967 is 94/41581

2 470, 7144
47 235, 3572
5, 76

∴ So the GCF of the given numbers is 2 x 47 = 94

Greatest Common Factor of 470,7144 By Matching Biggest Common Factor Method

Greatest Common Factor of 470,7144 By Matching Biggest Common Factor Method

Factors of 470

List of positive integer factors of 470 that divides 470 without a remainder.

1,2,5,10,47,94,235,470

Factors of 7144

List of positive integer factors of 7144 that divides 7144 without a remainder.

1,2,4,8,19,38,47,76,94,152,188,376,893,1786,3572,7144

Greatest Common Factor

We found the factors 470,7144 . The biggest common factor number is the GCF number.
So the greatest common factor 470,7144 is 94.

Lets's calculate LCM of 43,967

Given numbers has no common factors except 1. So, there LCM is their product i.e 41581

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 94/41581

Therefore, the GCF of Fractions 470/43,7144/967 is 94/41581

Least Common Multiple of 43,967 with GCF Formula

Least Common Multiple of 43,967 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 43,967 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(43,967) = 1

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

GCF(43,967) x common factors =1 x 1 = 1

LCM(43,967) = ( 43 × 967 ) / 1

LCM(43,967) = 41581 / 1

LCM(43,967) = 41581


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 470/43, 7144/967

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 470/43, 7144/967?

Answer: GCF of Numerators as per given numbers 470/43, 7144/967 is

GCF of Numerators i.e. for 470,7144 is 94

LCM of denominators i.e. for 43,967 is 41581.

Thus, GCF of Fractions is 94/41581.Finally, GCF of Fractions for 470/43, 7144/967 is 94/41581.