Greatest Common Factor of 6977/139, 7067/8000

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6977/139, 7067/8000

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 6977/139,7067/8000

Given fractions are 6977/139,7067/8000

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 6977,7067

Greatest Common Factor of Numerators i.e. GCF of 6977,7067 is 1 .

LCM of Denominators means LCM of 139,8000 as per the given fractions.

LCM of 139,8000 is 1112000 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6977,7067

GCF of Fractions 6977/139,7067/8000 is 1/1112000

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

Greatest Common Factor of 6977,7067 By Matching Biggest Common Factor Method

Greatest Common Factor of 6977,7067 By Matching Biggest Common Factor Method

Factors of 6977

List of positive integer factors of 6977 that divides 6977 without a remainder.

1,6977

Factors of 7067

List of positive integer factors of 7067 that divides 7067 without a remainder.

1,37,191,7067

Greatest Common Factor

We found the factors 6977,7067 . The biggest common factor number is the GCF number.
So the greatest common factor 6977,7067 is 1.

Lets's calculate LCM of 139,8000

Given numbers has no common factors except 1. So, there LCM is their product i.e 1112000

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1112000

Therefore, the GCF of Fractions 6977/139,7067/8000 is 1/1112000

Least Common Multiple of 139,8000 with GCF Formula

Least Common Multiple of 139,8000 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 139,8000 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(139,8000) = 1

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

GCF(139,8000) x common factors =1 x 1 = 1

LCM(139,8000) = ( 139 × 8000 ) / 1

LCM(139,8000) = 1112000 / 1

LCM(139,8000) = 1112000


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 6977/139, 7067/8000

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 6977/139, 7067/8000?

Answer: GCF of Numerators as per given numbers 6977/139, 7067/8000 is

GCF of Numerators i.e. for 6977,7067 is 1

LCM of denominators i.e. for 139,8000 is 1112000.

Thus, GCF of Fractions is 1/1112000.Finally, GCF of Fractions for 6977/139, 7067/8000 is 1/1112000.