Greatest Common Factor of 8200/282, 9713/949

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8200/282, 9713/949

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 8200/282,9713/949

Given fractions are 8200/282,9713/949

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 8200,9713

Greatest Common Factor of Numerators i.e. GCF of 8200,9713 is 1 .

LCM of Denominators means LCM of 282,949 as per the given fractions.

LCM of 282,949 is 267618 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8200,9713

GCF of Fractions 8200/282,9713/949 is 1/267618

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 8200,9713 By Matching Biggest Common Factor Method

Greatest Common Factor of 8200,9713 By Matching Biggest Common Factor Method

Factors of 8200

List of positive integer factors of 8200 that divides 8200 without a remainder.

1,2,4,5,8,10,20,25,40,41,50,82,100,164,200,205,328,410,820,1025,1640,2050,4100,8200

Factors of 9713

List of positive integer factors of 9713 that divides 9713 without a remainder.

1,11,883,9713

Greatest Common Factor

We found the factors 8200,9713 . The biggest common factor number is the GCF number.
So the greatest common factor 8200,9713 is 1.

Lets's calculate LCM of 282,949

Given numbers has no common factors except 1. So, there LCM is their product i.e 267618

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/267618

Therefore, the GCF of Fractions 8200/282,9713/949 is 1/267618

Least Common Multiple of 282,949 with GCF Formula

Least Common Multiple of 282,949 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 282,949 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(282,949) = 1

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

GCF(282,949) x common factors =1 x 1 = 1

LCM(282,949) = ( 282 × 949 ) / 1

LCM(282,949) = 267618 / 1

LCM(282,949) = 267618


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 8200/282, 9713/949

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 8200/282, 9713/949?

Answer: GCF of Numerators as per given numbers 8200/282, 9713/949 is

GCF of Numerators i.e. for 8200,9713 is 1

LCM of denominators i.e. for 282,949 is 267618.

Thus, GCF of Fractions is 1/267618.Finally, GCF of Fractions for 8200/282, 9713/949 is 1/267618.