Greatest Common Factor of 6500/89, 2068/383

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6500/89, 2068/383

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 6500/89,2068/383

Given fractions are 6500/89,2068/383

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 6500,2068

Greatest Common Factor of Numerators i.e. GCF of 6500,2068 is 4 .

LCM of Denominators means LCM of 89,383 as per the given fractions.

LCM of 89,383 is 34087 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6500,2068

GCF of Fractions 6500/89,2068/383 is 4/34087

2 6500, 2068
2 3250, 1034
1625, 517

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

Greatest Common Factor of 6500,2068 By Matching Biggest Common Factor Method

Greatest Common Factor of 6500,2068 By Matching Biggest Common Factor Method

Factors of 6500

List of positive integer factors of 6500 that divides 6500 without a remainder.

1,2,4,5,10,13,20,25,26,50,52,65,100,125,130,250,260,325,500,650,1300,1625,3250,6500

Factors of 2068

List of positive integer factors of 2068 that divides 2068 without a remainder.

1,2,4,11,22,44,47,94,188,517,1034,2068

Greatest Common Factor

We found the factors 6500,2068 . The biggest common factor number is the GCF number.
So the greatest common factor 6500,2068 is 4.

Lets's calculate LCM of 89,383

Given numbers has no common factors except 1. So, there LCM is their product i.e 34087

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/34087

Therefore, the GCF of Fractions 6500/89,2068/383 is 4/34087

Least Common Multiple of 89,383 with GCF Formula

Least Common Multiple of 89,383 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 89,383 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(89,383) = 1

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

GCF(89,383) x common factors =1 x 1 = 1

LCM(89,383) = ( 89 × 383 ) / 1

LCM(89,383) = 34087 / 1

LCM(89,383) = 34087


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 6500/89, 2068/383

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 6500/89, 2068/383?

Answer: GCF of Numerators as per given numbers 6500/89, 2068/383 is

GCF of Numerators i.e. for 6500,2068 is 4

LCM of denominators i.e. for 89,383 is 34087.

Thus, GCF of Fractions is 4/34087.Finally, GCF of Fractions for 6500/89, 2068/383 is 4/34087.