Greatest Common Factor of 9750/765, 8372/2890

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9750/765, 8372/2890

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 9750/765,8372/2890

Given fractions are 9750/765,8372/2890

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 9750,8372

Greatest Common Factor of Numerators i.e. GCF of 9750,8372 is 26 .

LCM of Denominators means LCM of 765,2890 as per the given fractions.

LCM of 765,2890 is 26010 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9750,8372

GCF of Fractions 9750/765,8372/2890 is 26/26010

2 9750, 8372
13 4875, 4186
375, 322

∴ So the GCF of the given numbers is 2 x 13 = 26

Greatest Common Factor of 9750,8372 By Matching Biggest Common Factor Method

Greatest Common Factor of 9750,8372 By Matching Biggest Common Factor Method

Factors of 9750

List of positive integer factors of 9750 that divides 9750 without a remainder.

1,2,3,5,6,10,13,15,25,26,30,39,50,65,75,78,125,130,150,195,250,325,375,390,650,750,975,1625,1950,3250,4875,9750

Factors of 8372

List of positive integer factors of 8372 that divides 8372 without a remainder.

1,2,4,7,13,14,23,26,28,46,52,91,92,161,182,299,322,364,598,644,1196,2093,4186,8372

Greatest Common Factor

We found the factors 9750,8372 . The biggest common factor number is the GCF number.
So the greatest common factor 9750,8372 is 26.

Lets's calculate LCM of 765,2890

5 765, 2890
17 153, 578
9, 34

∴ So the LCM of the given numbers is 5 x 17 x 9 x 34 = 26010

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 26/26010

Therefore, the GCF of Fractions 9750/765,8372/2890 is 26/26010

Least Common Multiple of 765,2890 with GCF Formula

Least Common Multiple of 765,2890 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 765,2890 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(765,2890) = 85

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

GCF(765,2890) x common factors =85 x 1 = 85

LCM(765,2890) = ( 765 × 2890 ) / 85

LCM(765,2890) = 2210850 / 85

LCM(765,2890) = 26010


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 9750/765, 8372/2890

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 9750/765, 8372/2890?

Answer: GCF of Numerators as per given numbers 9750/765, 8372/2890 is

GCF of Numerators i.e. for 9750,8372 is 26

LCM of denominators i.e. for 765,2890 is 26010.

Thus, GCF of Fractions is 26/26010.Finally, GCF of Fractions for 9750/765, 8372/2890 is 26/26010.