Greatest Common Factor of 8620/22, 5064/750

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8620/22, 5064/750

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 8620/22,5064/750

Given fractions are 8620/22,5064/750

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 8620,5064

Greatest Common Factor of Numerators i.e. GCF of 8620,5064 is 4 .

LCM of Denominators means LCM of 22,750 as per the given fractions.

LCM of 22,750 is 8250 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8620,5064

GCF of Fractions 8620/22,5064/750 is 4/8250

2 8620, 5064
2 4310, 2532
2155, 1266

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 8620,5064 By Matching Biggest Common Factor Method

Greatest Common Factor of 8620,5064 By Matching Biggest Common Factor Method

Factors of 8620

List of positive integer factors of 8620 that divides 8620 without a remainder.

1,2,4,5,10,20,431,862,1724,2155,4310,8620

Factors of 5064

List of positive integer factors of 5064 that divides 5064 without a remainder.

1,2,3,4,6,8,12,24,211,422,633,844,1266,1688,2532,5064

Greatest Common Factor

We found the factors 8620,5064 . The biggest common factor number is the GCF number.
So the greatest common factor 8620,5064 is 4.

Lets's calculate LCM of 22,750

2 22, 750
11, 375

∴ So the LCM of the given numbers is 2 x 11 x 375 = 8250

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/8250

Therefore, the GCF of Fractions 8620/22,5064/750 is 4/8250

Least Common Multiple of 22,750 with GCF Formula

Least Common Multiple of 22,750 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 22,750 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(22,750) = 2

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

GCF(22,750) x common factors =2 x 1 = 2

LCM(22,750) = ( 22 × 750 ) / 2

LCM(22,750) = 16500 / 2

LCM(22,750) = 8250


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 8620/22, 5064/750

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 8620/22, 5064/750?

Answer: GCF of Numerators as per given numbers 8620/22, 5064/750 is

GCF of Numerators i.e. for 8620,5064 is 4

LCM of denominators i.e. for 22,750 is 8250.

Thus, GCF of Fractions is 4/8250.Finally, GCF of Fractions for 8620/22, 5064/750 is 4/8250.