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GCF of 717/979, 954/686

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 717/979, 954/686 i.e 3/671594 easily. The following is the detailed procedure to determine the greatest common factor of fractions 717/979, 954/686.

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 717/979,954/686?

Given fractions are 717/979,954/686

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 717/979,954/686, numerators are 717,954

Denominators are 979,686

The GCF of 717,954 is 3 .

LCM of 979,686 is 671594.

The greatest common factor of 717/979,954/686 = [GCF of 717,954]/[LCM of 979,686]= 3/671594

Therefore, the GCF of 717/979,954/686 is 3/671594.

Greatest Common Factor of 717,954

To find the highest common factor of 717,954, we have to find the factors of both numbers and list the highest common factor.

The factors of 717 are 1, 3, 239, 717

The factors of 954 are 1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954

The HCF of 717,954 is 3.

Lets's calculate GCF of 717,954

Greatest Common Factor (GCF) of 717,954 By Common Division

3 717, 954
239, 318

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

Greatest Common Factor of 717,954 By Matching Biggest Common Factor Method

Greatest Common Factor of 717,954 By Matching Biggest Common Factor Method

Now, list down the factors of 717

:

1,3,239,717

Now, list down the factors of 954

:

1,2,3,6,9,18,53,106,159,318,477,954

Greatest Common Factor

We found the factors 717,954 . The biggest common factor number is the GCF number.
So the greatest common factor 717,954 is 3.

Lets's calculate LCM of 979,686

Lowest Common Multiple of 979,686 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 671594

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/671594

Therefore, the GCF of Fractions 717/979,954/686 is 3/671594

Least Common Multiple of 979,686 with GCF Formula

Least Common Multiple of 979,686 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 979,686 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(979,686) = 1

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

GCF(979,686) x common factors =1 x 1 = 1

LCM(979,686) = ( 979 × 686 ) / 1

LCM(979,686) = 671594 / 1

LCM(979,686) = 671594


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FAQs on GCF of Fractions of 717/979, 954/686

1. What is the HCF of 717,954?

The HCF of 717,954 is 3

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 717/979, 954/686?

Answer: GCF of Numerators as per given numbers 717/979, 954/686 is

GCF of Numerators i.e. for 717,954 is 3

LCM of denominators i.e. for 979,686 is 671594.

Thus, GCF of Fractions is 3/671594.Finally, GCF of Fractions for 717/979, 954/686 is 3/671594.