Greatest Common Factor of 8996/751, 1509/6726

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 8996/751, 1509/6726

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 8996/751,1509/6726

Given fractions are 8996/751,1509/6726

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 8996,1509

Greatest Common Factor of Numerators i.e. GCF of 8996,1509 is 1 .

LCM of Denominators means LCM of 751,6726 as per the given fractions.

LCM of 751,6726 is 5051226 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8996,1509

GCF of Fractions 8996/751,1509/6726 is 1/5051226

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

Greatest Common Factor of 8996,1509 By Matching Biggest Common Factor Method

Greatest Common Factor of 8996,1509 By Matching Biggest Common Factor Method

Factors of 8996

List of positive integer factors of 8996 that divides 8996 without a remainder.

1,2,4,13,26,52,173,346,692,2249,4498,8996

Factors of 1509

List of positive integer factors of 1509 that divides 1509 without a remainder.

1,3,503,1509

Greatest Common Factor

We found the factors 8996,1509 . The biggest common factor number is the GCF number.
So the greatest common factor 8996,1509 is 1.


Lets's calculate LCM of 751,6726

Given numbers has no common factors except 1. So, there LCM is their product i.e 5051226

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5051226

Therefore, the GCF of Fractions 8996/751,1509/6726 is 1/5051226

Least Common Multiple of 751,6726 with GCF Formula

Least Common Multiple of 751,6726 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 751,6726 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(751,6726) = 1

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

GCF(751,6726) x common factors =1 x 1 = 1

LCM(751,6726) = ( 751 × 6726 ) / 1

LCM(751,6726) = 5051226 / 1

LCM(751,6726) = 5051226


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 8996/751, 1509/6726

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 8996/751, 1509/6726?

Answer: GCF of Numerators as per given numbers 8996/751, 1509/6726 is

GCF of Numerators i.e. for 8996,1509 is 1

LCM of denominators i.e. for 751,6726 is 5051226.

Thus, GCF of Fractions is 1/5051226.Finally, GCF of Fractions for 8996/751, 1509/6726 is 1/5051226.