Greatest Common Factor of 8110/889, 5600/7238

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8110/889, 5600/7238

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 8110/889,5600/7238

Given fractions are 8110/889,5600/7238

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 8110,5600

Greatest Common Factor of Numerators i.e. GCF of 8110,5600 is 10 .

LCM of Denominators means LCM of 889,7238 as per the given fractions.

LCM of 889,7238 is 919226 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8110,5600

GCF of Fractions 8110/889,5600/7238 is 10/919226

2 8110, 5600
5 4055, 2800
811, 560

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

Greatest Common Factor of 8110,5600 By Matching Biggest Common Factor Method

Greatest Common Factor of 8110,5600 By Matching Biggest Common Factor Method

Factors of 8110

List of positive integer factors of 8110 that divides 8110 without a remainder.

1,2,5,10,811,1622,4055,8110

Factors of 5600

List of positive integer factors of 5600 that divides 5600 without a remainder.

1,2,4,5,7,8,10,14,16,20,25,28,32,35,40,50,56,70,80,100,112,140,160,175,200,224,280,350,400,560,700,800,1120,1400,2800,5600

Greatest Common Factor

We found the factors 8110,5600 . The biggest common factor number is the GCF number.
So the greatest common factor 8110,5600 is 10.

Lets's calculate LCM of 889,7238

7 889, 7238
127, 1034

∴ So the LCM of the given numbers is 7 x 127 x 1034 = 919226

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/919226

Therefore, the GCF of Fractions 8110/889,5600/7238 is 10/919226

Least Common Multiple of 889,7238 with GCF Formula

Least Common Multiple of 889,7238 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 889,7238 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(889,7238) = 7

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

GCF(889,7238) x common factors =7 x 1 = 7

LCM(889,7238) = ( 889 × 7238 ) / 7

LCM(889,7238) = 6434582 / 7

LCM(889,7238) = 919226


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 8110/889, 5600/7238

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 8110/889, 5600/7238?

Answer: GCF of Numerators as per given numbers 8110/889, 5600/7238 is

GCF of Numerators i.e. for 8110,5600 is 10

LCM of denominators i.e. for 889,7238 is 919226.

Thus, GCF of Fractions is 10/919226.Finally, GCF of Fractions for 8110/889, 5600/7238 is 10/919226.