Greatest Common Factor of 9570/787, 8150/928

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9570/787, 8150/928

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 9570/787,8150/928

Given fractions are 9570/787,8150/928

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 9570,8150

Greatest Common Factor of Numerators i.e. GCF of 9570,8150 is 10 .

LCM of Denominators means LCM of 787,928 as per the given fractions.

LCM of 787,928 is 730336 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9570,8150

GCF of Fractions 9570/787,8150/928 is 10/730336

2 9570, 8150
5 4785, 4075
957, 815

∴ So the GCF of the given numbers is 2 x 5 = 10

Greatest Common Factor of 9570,8150 By Matching Biggest Common Factor Method

Greatest Common Factor of 9570,8150 By Matching Biggest Common Factor Method

Factors of 9570

List of positive integer factors of 9570 that divides 9570 without a remainder.

1,2,3,5,6,10,11,15,22,29,30,33,55,58,66,87,110,145,165,174,290,319,330,435,638,870,957,1595,1914,3190,4785,9570

Factors of 8150

List of positive integer factors of 8150 that divides 8150 without a remainder.

1,2,5,10,25,50,163,326,815,1630,4075,8150

Greatest Common Factor

We found the factors 9570,8150 . The biggest common factor number is the GCF number.
So the greatest common factor 9570,8150 is 10.

Lets's calculate LCM of 787,928

Given numbers has no common factors except 1. So, there LCM is their product i.e 730336

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/730336

Therefore, the GCF of Fractions 9570/787,8150/928 is 10/730336

Least Common Multiple of 787,928 with GCF Formula

Least Common Multiple of 787,928 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 787,928 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(787,928) = 1

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

GCF(787,928) x common factors =1 x 1 = 1

LCM(787,928) = ( 787 × 928 ) / 1

LCM(787,928) = 730336 / 1

LCM(787,928) = 730336


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 9570/787, 8150/928

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 9570/787, 8150/928?

Answer: GCF of Numerators as per given numbers 9570/787, 8150/928 is

GCF of Numerators i.e. for 9570,8150 is 10

LCM of denominators i.e. for 787,928 is 730336.

Thus, GCF of Fractions is 10/730336.Finally, GCF of Fractions for 9570/787, 8150/928 is 10/730336.