Greatest Common Factor of 8067/97, 7599/692

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8067/97, 7599/692

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 8067/97,7599/692

Given fractions are 8067/97,7599/692

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 8067,7599

Greatest Common Factor of Numerators i.e. GCF of 8067,7599 is 3 .

LCM of Denominators means LCM of 97,692 as per the given fractions.

LCM of 97,692 is 67124 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8067,7599

GCF of Fractions 8067/97,7599/692 is 3/67124

3 8067, 7599
2689, 2533

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 8067,7599 By Matching Biggest Common Factor Method

Greatest Common Factor of 8067,7599 By Matching Biggest Common Factor Method

Factors of 8067

List of positive integer factors of 8067 that divides 8067 without a remainder.

1,3,2689,8067

Factors of 7599

List of positive integer factors of 7599 that divides 7599 without a remainder.

1,3,17,51,149,447,2533,7599

Greatest Common Factor

We found the factors 8067,7599 . The biggest common factor number is the GCF number.
So the greatest common factor 8067,7599 is 3.

Lets's calculate LCM of 97,692

Given numbers has no common factors except 1. So, there LCM is their product i.e 67124

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/67124

Therefore, the GCF of Fractions 8067/97,7599/692 is 3/67124

Least Common Multiple of 97,692 with GCF Formula

Least Common Multiple of 97,692 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 97,692 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(97,692) = 1

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

GCF(97,692) x common factors =1 x 1 = 1

LCM(97,692) = ( 97 × 692 ) / 1

LCM(97,692) = 67124 / 1

LCM(97,692) = 67124


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 8067/97, 7599/692

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 8067/97, 7599/692?

Answer: GCF of Numerators as per given numbers 8067/97, 7599/692 is

GCF of Numerators i.e. for 8067,7599 is 3

LCM of denominators i.e. for 97,692 is 67124.

Thus, GCF of Fractions is 3/67124.Finally, GCF of Fractions for 8067/97, 7599/692 is 3/67124.