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GCF of 5718/687, 5997/374

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 5718/687, 5997/374 i.e 3/256938 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5718/687, 5997/374.

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 5718/687,5997/374?

Given fractions are 5718/687,5997/374

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 5718/687,5997/374, numerators are 5718,5997

Denominators are 687,374

The GCF of 5718,5997 is 3 .

LCM of 687,374 is 256938.

The greatest common factor of 5718/687,5997/374 = [GCF of 5718,5997]/[LCM of 687,374]= 3/256938

Therefore, the GCF of 5718/687,5997/374 is 3/256938.

Greatest Common Factor of 5718,5997

To find the highest common factor of 5718,5997, we have to find the factors of both numbers and list the highest common factor.

The factors of 5718 are 1, 2, 3, 6, 953, 1906, 2859, 5718

The factors of 5997 are 1, 3, 1999, 5997

The HCF of 5718,5997 is 3.

Lets's calculate GCF of 5718,5997

Greatest Common Factor (GCF) of 5718,5997 By Common Division

3 5718, 5997
1906, 1999

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

Greatest Common Factor of 5718,5997 By Matching Biggest Common Factor Method

Greatest Common Factor of 5718,5997 By Matching Biggest Common Factor Method

Now, list down the factors of 5718

:

1,2,3,6,953,1906,2859,5718

Now, list down the factors of 5997

:

1,3,1999,5997

Greatest Common Factor

We found the factors 5718,5997 . The biggest common factor number is the GCF number.
So the greatest common factor 5718,5997 is 3.

Lets's calculate LCM of 687,374

Lowest Common Multiple of 687,374 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 256938

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/256938

Therefore, the GCF of Fractions 5718/687,5997/374 is 3/256938

Least Common Multiple of 687,374 with GCF Formula

Least Common Multiple of 687,374 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 687,374 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(687,374) = 1

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

GCF(687,374) x common factors =1 x 1 = 1

LCM(687,374) = ( 687 × 374 ) / 1

LCM(687,374) = 256938 / 1

LCM(687,374) = 256938


GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 5718/687, 5997/374

1. What is the HCF of 5718,5997?

The HCF of 5718,5997 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 5718/687, 5997/374?

Answer: GCF of Numerators as per given numbers 5718/687, 5997/374 is

GCF of Numerators i.e. for 5718,5997 is 3

LCM of denominators i.e. for 687,374 is 256938.

Thus, GCF of Fractions is 3/256938.Finally, GCF of Fractions for 5718/687, 5997/374 is 3/256938.