Greatest Common Factor of 9576/960, 4172/470

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9576/960, 4172/470

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 9576/960,4172/470

Given fractions are 9576/960,4172/470

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 9576,4172

Greatest Common Factor of Numerators i.e. GCF of 9576,4172 is 28 .

LCM of Denominators means LCM of 960,470 as per the given fractions.

LCM of 960,470 is 45120 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9576,4172

GCF of Fractions 9576/960,4172/470 is 28/45120

2 9576, 4172
2 4788, 2086
7 2394, 1043
342, 149

∴ So the GCF of the given numbers is 2 x 2 x 7 = 28

Greatest Common Factor of 9576,4172 By Matching Biggest Common Factor Method

Greatest Common Factor of 9576,4172 By Matching Biggest Common Factor Method

Factors of 9576

List of positive integer factors of 9576 that divides 9576 without a remainder.

1,2,3,4,6,7,8,9,12,14,18,19,21,24,28,36,38,42,56,57,63,72,76,84,114,126,133,152,168,171,228,252,266,342,399,456,504,532,684,798,1064,1197,1368,1596,2394,3192,4788,9576

Factors of 4172

List of positive integer factors of 4172 that divides 4172 without a remainder.

1,2,4,7,14,28,149,298,596,1043,2086,4172

Greatest Common Factor

We found the factors 9576,4172 . The biggest common factor number is the GCF number.
So the greatest common factor 9576,4172 is 28.

Lets's calculate LCM of 960,470

2 960, 470
5 480, 235
96, 47

∴ So the LCM of the given numbers is 2 x 5 x 96 x 47 = 45120

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 28/45120

Therefore, the GCF of Fractions 9576/960,4172/470 is 28/45120

Least Common Multiple of 960,470 with GCF Formula

Least Common Multiple of 960,470 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 960,470 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(960,470) = 10

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

GCF(960,470) x common factors =10 x 1 = 10

LCM(960,470) = ( 960 × 470 ) / 10

LCM(960,470) = 451200 / 10

LCM(960,470) = 45120


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 9576/960, 4172/470

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 9576/960, 4172/470?

Answer: GCF of Numerators as per given numbers 9576/960, 4172/470 is

GCF of Numerators i.e. for 9576,4172 is 28

LCM of denominators i.e. for 960,470 is 45120.

Thus, GCF of Fractions is 28/45120.Finally, GCF of Fractions for 9576/960, 4172/470 is 28/45120.