Greatest Common Factor of 3650/43, 8620/813

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3650/43, 8620/813

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 3650/43,8620/813

Given fractions are 3650/43,8620/813

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 3650,8620

Greatest Common Factor of Numerators i.e. GCF of 3650,8620 is 10 .

LCM of Denominators means LCM of 43,813 as per the given fractions.

LCM of 43,813 is 34959 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3650,8620

GCF of Fractions 3650/43,8620/813 is 10/34959

2 3650, 8620
5 1825, 4310
365, 862

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

Greatest Common Factor of 3650,8620 By Matching Biggest Common Factor Method

Greatest Common Factor of 3650,8620 By Matching Biggest Common Factor Method

Factors of 3650

List of positive integer factors of 3650 that divides 3650 without a remainder.

1,2,5,10,25,50,73,146,365,730,1825,3650

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

Greatest Common Factor

We found the factors 3650,8620 . The biggest common factor number is the GCF number.
So the greatest common factor 3650,8620 is 10.

Lets's calculate LCM of 43,813

Given numbers has no common factors except 1. So, there LCM is their product i.e 34959

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/34959

Therefore, the GCF of Fractions 3650/43,8620/813 is 10/34959

Least Common Multiple of 43,813 with GCF Formula

Least Common Multiple of 43,813 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 43,813 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(43,813) = 1

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

GCF(43,813) x common factors =1 x 1 = 1

LCM(43,813) = ( 43 × 813 ) / 1

LCM(43,813) = 34959 / 1

LCM(43,813) = 34959


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 3650/43, 8620/813

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 3650/43, 8620/813?

Answer: GCF of Numerators as per given numbers 3650/43, 8620/813 is

GCF of Numerators i.e. for 3650,8620 is 10

LCM of denominators i.e. for 43,813 is 34959.

Thus, GCF of Fractions is 10/34959.Finally, GCF of Fractions for 3650/43, 8620/813 is 10/34959.