Greatest Common Factor of 8537/67, 6997/798

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8537/67, 6997/798

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 8537/67,6997/798

Given fractions are 8537/67,6997/798

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 8537,6997

Greatest Common Factor of Numerators i.e. GCF of 8537,6997 is 1 .

LCM of Denominators means LCM of 67,798 as per the given fractions.

LCM of 67,798 is 53466 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8537,6997

GCF of Fractions 8537/67,6997/798 is 1/53466

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

Greatest Common Factor of 8537,6997 By Matching Biggest Common Factor Method

Greatest Common Factor of 8537,6997 By Matching Biggest Common Factor Method

Factors of 8537

List of positive integer factors of 8537 that divides 8537 without a remainder.

1,8537

Factors of 6997

List of positive integer factors of 6997 that divides 6997 without a remainder.

1,6997

Greatest Common Factor

We found the factors 8537,6997 . The biggest common factor number is the GCF number.
So the greatest common factor 8537,6997 is 1.

Lets's calculate LCM of 67,798

Given numbers has no common factors except 1. So, there LCM is their product i.e 53466

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/53466

Therefore, the GCF of Fractions 8537/67,6997/798 is 1/53466

Least Common Multiple of 67,798 with GCF Formula

Least Common Multiple of 67,798 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 67,798 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,798) = 1

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

GCF(67,798) x common factors =1 x 1 = 1

LCM(67,798) = ( 67 × 798 ) / 1

LCM(67,798) = 53466 / 1

LCM(67,798) = 53466


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 8537/67, 6997/798

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 8537/67, 6997/798?

Answer: GCF of Numerators as per given numbers 8537/67, 6997/798 is

GCF of Numerators i.e. for 8537,6997 is 1

LCM of denominators i.e. for 67,798 is 53466.

Thus, GCF of Fractions is 1/53466.Finally, GCF of Fractions for 8537/67, 6997/798 is 1/53466.