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GCF of 8089/979, 7195/6711

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 8089/979, 7195/6711 i.e 1/6570069 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8089/979, 7195/6711.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 8089/979,7195/6711?

Given fractions are 8089/979,7195/6711

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 8089/979,7195/6711, numerators are 8089,7195

Denominators are 979,6711

The GCF of 8089,7195 is 1 .

LCM of 979,6711 is 6570069.

The greatest common factor of 8089/979,7195/6711 = [GCF of 8089,7195]/[LCM of 979,6711]= 1/6570069

Therefore, the GCF of 8089/979,7195/6711 is 1/6570069.

Greatest Common Factor of 8089,7195

To find the highest common factor of 8089,7195, we have to find the factors of both numbers and list the highest common factor.

The factors of 8089 are 1, 8089

The factors of 7195 are 1, 5, 1439, 7195

The HCF of 8089,7195 is 1.

Lets's calculate GCF of 8089,7195

Greatest Common Factor (GCF) of 8089,7195 By Common Division

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

Greatest Common Factor of 8089,7195 By Matching Biggest Common Factor Method

Greatest Common Factor of 8089,7195 By Matching Biggest Common Factor Method

Now, list down the factors of 8089

:

1,8089

Now, list down the factors of 7195

:

1,5,1439,7195

Greatest Common Factor

We found the factors 8089,7195 . The biggest common factor number is the GCF number.
So the greatest common factor 8089,7195 is 1.

Lets's calculate LCM of 979,6711

Lowest Common Multiple of 979,6711 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 6570069

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6570069

Therefore, the GCF of Fractions 8089/979,7195/6711 is 1/6570069

Least Common Multiple of 979,6711 with GCF Formula

Least Common Multiple of 979,6711 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 979,6711 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(979,6711) = 1

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

GCF(979,6711) x common factors =1 x 1 = 1

LCM(979,6711) = ( 979 × 6711 ) / 1

LCM(979,6711) = 6570069 / 1

LCM(979,6711) = 6570069


GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 8089/979, 7195/6711

1. What is the HCF of 8089,7195?

The HCF of 8089,7195 is 1

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. 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.

4. What is the GCF of Fractions for 8089/979, 7195/6711?

Answer: GCF of Numerators as per given numbers 8089/979, 7195/6711 is

GCF of Numerators i.e. for 8089,7195 is 1

LCM of denominators i.e. for 979,6711 is 6570069.

Thus, GCF of Fractions is 1/6570069.Finally, GCF of Fractions for 8089/979, 7195/6711 is 1/6570069.