How to Find GCF of 9317/713, 7131/9759?

GCF of 9317/713, 7131/9759

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 9317/713, 7131/9759 i.e 1/6958167 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9317/713, 7131/9759.

Enter two or more fractions separated by "commas"

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

What is the GCF of 9317/713,7131/9759?

Given fractions are 9317/713,7131/9759

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 9317/713,7131/9759, numerators are 9317,7131

Denominators are 713,9759

The GCF of 9317,7131 is 1 .

LCM of 713,9759 is 6958167.

The greatest common factor of 9317/713,7131/9759 = [GCF of 9317,7131]/[LCM of 713,9759]= 1/6958167

Therefore, the GCF of 9317/713,7131/9759 is 1/6958167.

Greatest Common Factor of 9317,7131

To find the highest common factor of 9317,7131, we have to find the factors of both numbers and list the highest common factor.

The factors of 9317 are 1, 7, 11, 77, 121, 847, 1331, 9317

The factors of 7131 are 1, 3, 2377, 7131

The HCF of 9317,7131 is 1.

Lets's calculate GCF of 9317,7131

Greatest Common Factor (GCF) of 9317,7131 By Common Division

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

Greatest Common Factor of 9317,7131 By Matching Biggest Common Factor Method

Now, list down the factors of 9317

1,7,11,77,121,847,1331,9317

Now, list down the factors of 7131

1,3,2377,7131

Greatest Common Factor

We found the factors 9317,7131 . The biggest common factor number is the GCF number.
So the greatest common factor 9317,7131 is 1.

Lets's calculate LCM of 713,9759

Lowest Common Multiple of 713,9759 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 6958167

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6958167

Therefore, the GCF of Fractions 9317/713,7131/9759 is 1/6958167

Least Common Multiple of 713,9759 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 713,9759 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(713,9759) = 1

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

GCF(713,9759) x common factors =1 x 1 = 1

LCM(713,9759) = ( 713 × 9759 ) / 1

LCM(713,9759) = 6958167 / 1

LCM(713,9759) = 6958167

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FAQs on GCF of Fractions of 9317/713, 7131/9759

1. What is the HCF of 9317,7131?

The HCF of 9317,7131 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 9317/713, 7131/9759?

Answer: GCF of Numerators as per given numbers 9317/713, 7131/9759 is

GCF of Numerators i.e. for 9317,7131 is 1

LCM of denominators i.e. for 713,9759 is 6958167.

Thus, GCF of Fractions is 1/6958167.Finally, GCF of Fractions for 9317/713, 7131/9759 is 1/6958167.