Greatest Common Factor of 2200/59, 7665/823

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2200/59, 7665/823

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 2200/59,7665/823

Given fractions are 2200/59,7665/823

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 2200,7665

Greatest Common Factor of Numerators i.e. GCF of 2200,7665 is 5 .

LCM of Denominators means LCM of 59,823 as per the given fractions.

LCM of 59,823 is 48557 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2200,7665

GCF of Fractions 2200/59,7665/823 is 5/48557

5 2200, 7665
440, 1533

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 2200,7665 By Matching Biggest Common Factor Method

Greatest Common Factor of 2200,7665 By Matching Biggest Common Factor Method

Factors of 2200

List of positive integer factors of 2200 that divides 2200 without a remainder.

1,2,4,5,8,10,11,20,22,25,40,44,50,55,88,100,110,200,220,275,440,550,1100,2200

Factors of 7665

List of positive integer factors of 7665 that divides 7665 without a remainder.

1,3,5,7,15,21,35,73,105,219,365,511,1095,1533,2555,7665

Greatest Common Factor

We found the factors 2200,7665 . The biggest common factor number is the GCF number.
So the greatest common factor 2200,7665 is 5.

Lets's calculate LCM of 59,823

Given numbers has no common factors except 1. So, there LCM is their product i.e 48557

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/48557

Therefore, the GCF of Fractions 2200/59,7665/823 is 5/48557

Least Common Multiple of 59,823 with GCF Formula

Least Common Multiple of 59,823 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 59,823 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(59,823) = 1

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

GCF(59,823) x common factors =1 x 1 = 1

LCM(59,823) = ( 59 × 823 ) / 1

LCM(59,823) = 48557 / 1

LCM(59,823) = 48557


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 2200/59, 7665/823

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 2200/59, 7665/823?

Answer: GCF of Numerators as per given numbers 2200/59, 7665/823 is

GCF of Numerators i.e. for 2200,7665 is 5

LCM of denominators i.e. for 59,823 is 48557.

Thus, GCF of Fractions is 5/48557.Finally, GCF of Fractions for 2200/59, 7665/823 is 5/48557.