Greatest Common Factor of 989/748, 6509/872

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 989/748, 6509/872

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 989/748,6509/872

Given fractions are 989/748,6509/872

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 989,6509

Greatest Common Factor of Numerators i.e. GCF of 989,6509 is 23 .

LCM of Denominators means LCM of 748,872 as per the given fractions.

LCM of 748,872 is 163064 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 989,6509

GCF of Fractions 989/748,6509/872 is 23/163064

23 989, 6509
43, 283

∴ So the GCF of the given numbers is 23 = 23

Greatest Common Factor of 989,6509 By Matching Biggest Common Factor Method

Greatest Common Factor of 989,6509 By Matching Biggest Common Factor Method

Factors of 989

List of positive integer factors of 989 that divides 989 without a remainder.

1,23,43,989

Factors of 6509

List of positive integer factors of 6509 that divides 6509 without a remainder.

1,23,283,6509

Greatest Common Factor

We found the factors 989,6509 . The biggest common factor number is the GCF number.
So the greatest common factor 989,6509 is 23.

Lets's calculate LCM of 748,872

2 748, 872
2 374, 436
187, 218

∴ So the LCM of the given numbers is 2 x 2 x 187 x 218 = 163064

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 23/163064

Therefore, the GCF of Fractions 989/748,6509/872 is 23/163064

Least Common Multiple of 748,872 with GCF Formula

Least Common Multiple of 748,872 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 748,872 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(748,872) = 4

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

GCF(748,872) x common factors =4 x 1 = 4

LCM(748,872) = ( 748 × 872 ) / 4

LCM(748,872) = 652256 / 4

LCM(748,872) = 163064


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 989/748, 6509/872

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 989/748, 6509/872?

Answer: GCF of Numerators as per given numbers 989/748, 6509/872 is

GCF of Numerators i.e. for 989,6509 is 23

LCM of denominators i.e. for 748,872 is 163064.

Thus, GCF of Fractions is 23/163064.Finally, GCF of Fractions for 989/748, 6509/872 is 23/163064.