Greatest Common Factor of 7330/877, 8100/128

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7330/877, 8100/128

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 7330/877,8100/128

Given fractions are 7330/877,8100/128

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 7330,8100

Greatest Common Factor of Numerators i.e. GCF of 7330,8100 is 10 .

LCM of Denominators means LCM of 877,128 as per the given fractions.

LCM of 877,128 is 112256 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7330,8100

GCF of Fractions 7330/877,8100/128 is 10/112256

2 7330, 8100
5 3665, 4050
733, 810

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

Greatest Common Factor of 7330,8100 By Matching Biggest Common Factor Method

Greatest Common Factor of 7330,8100 By Matching Biggest Common Factor Method

Factors of 7330

List of positive integer factors of 7330 that divides 7330 without a remainder.

1,2,5,10,733,1466,3665,7330

Factors of 8100

List of positive integer factors of 8100 that divides 8100 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,25,27,30,36,45,50,54,60,75,81,90,100,108,135,150,162,180,225,270,300,324,405,450,540,675,810,900,1350,1620,2025,2700,4050,8100

Greatest Common Factor

We found the factors 7330,8100 . The biggest common factor number is the GCF number.
So the greatest common factor 7330,8100 is 10.

Lets's calculate LCM of 877,128

Given numbers has no common factors except 1. So, there LCM is their product i.e 112256

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/112256

Therefore, the GCF of Fractions 7330/877,8100/128 is 10/112256

Least Common Multiple of 877,128 with GCF Formula

Least Common Multiple of 877,128 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 877,128 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(877,128) = 1

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

GCF(877,128) x common factors =1 x 1 = 1

LCM(877,128) = ( 877 × 128 ) / 1

LCM(877,128) = 112256 / 1

LCM(877,128) = 112256


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 7330/877, 8100/128

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 7330/877, 8100/128?

Answer: GCF of Numerators as per given numbers 7330/877, 8100/128 is

GCF of Numerators i.e. for 7330,8100 is 10

LCM of denominators i.e. for 877,128 is 112256.

Thus, GCF of Fractions is 10/112256.Finally, GCF of Fractions for 7330/877, 8100/128 is 10/112256.