Greatest Common Factor of 9576/76, 6328/250

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9576/76, 6328/250

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 9576/76,6328/250

Given fractions are 9576/76,6328/250

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 9576,6328

Greatest Common Factor of Numerators i.e. GCF of 9576,6328 is 56 .

LCM of Denominators means LCM of 76,250 as per the given fractions.

LCM of 76,250 is 9500 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9576,6328

GCF of Fractions 9576/76,6328/250 is 56/9500

2 9576, 6328
2 4788, 3164
2 2394, 1582
7 1197, 791
171, 113

∴ So the GCF of the given numbers is 2 x 2 x 2 x 7 = 56

Greatest Common Factor of 9576,6328 By Matching Biggest Common Factor Method

Greatest Common Factor of 9576,6328 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 6328

List of positive integer factors of 6328 that divides 6328 without a remainder.

1,2,4,7,8,14,28,56,113,226,452,791,904,1582,3164,6328

Greatest Common Factor

We found the factors 9576,6328 . The biggest common factor number is the GCF number.
So the greatest common factor 9576,6328 is 56.

Lets's calculate LCM of 76,250

2 76, 250
38, 125

∴ So the LCM of the given numbers is 2 x 38 x 125 = 9500

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 56/9500

Therefore, the GCF of Fractions 9576/76,6328/250 is 56/9500

Least Common Multiple of 76,250 with GCF Formula

Least Common Multiple of 76,250 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 76,250 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,250) = 2

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

GCF(76,250) x common factors =2 x 1 = 2

LCM(76,250) = ( 76 × 250 ) / 2

LCM(76,250) = 19000 / 2

LCM(76,250) = 9500


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 9576/76, 6328/250

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 9576/76, 6328/250?

Answer: GCF of Numerators as per given numbers 9576/76, 6328/250 is

GCF of Numerators i.e. for 9576,6328 is 56

LCM of denominators i.e. for 76,250 is 9500.

Thus, GCF of Fractions is 56/9500.Finally, GCF of Fractions for 9576/76, 6328/250 is 56/9500.