How to Find GCF of 5246/596, 5717/666?

GCF of 5246/596, 5717/666

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 5246/596, 5717/666 i.e 1/198468 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5246/596, 5717/666.

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 5246/596,5717/666?

Given fractions are 5246/596,5717/666

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 5246/596,5717/666, numerators are 5246,5717

Denominators are 596,666

The GCF of 5246,5717 is 1 .

LCM of 596,666 is 198468.

The greatest common factor of 5246/596,5717/666 = [GCF of 5246,5717]/[LCM of 596,666]= 1/198468

Therefore, the GCF of 5246/596,5717/666 is 1/198468.

Greatest Common Factor of 5246,5717

To find the highest common factor of 5246,5717, we have to find the factors of both numbers and list the highest common factor.

The factors of 5246 are 1, 2, 43, 61, 86, 122, 2623, 5246

The factors of 5717 are 1, 5717

The HCF of 5246,5717 is 1.

Lets's calculate GCF of 5246,5717

Greatest Common Factor (GCF) of 5246,5717 By Common Division

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

Greatest Common Factor of 5246,5717 By Matching Biggest Common Factor Method

Now, list down the factors of 5246

1,2,43,61,86,122,2623,5246

Now, list down the factors of 5717

1,5717

Greatest Common Factor

We found the factors 5246,5717 . The biggest common factor number is the GCF number.
So the greatest common factor 5246,5717 is 1.

Lets's calculate LCM of 596,666

Lowest Common Multiple of 596,666 using Common Division

2	596, 666
	298, 333

∴ So the LCM of the given numbers is 2 x 298 x 333 = 198468

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/198468

Therefore, the GCF of Fractions 5246/596,5717/666 is 1/198468

Least Common Multiple of 596,666 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 596,666 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(596,666) = 2

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

GCF(596,666) x common factors =2 x 1 = 2

LCM(596,666) = ( 596 × 666 ) / 2

LCM(596,666) = 396936 / 2

LCM(596,666) = 198468

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FAQs on GCF of Fractions of 5246/596, 5717/666

1. What is the HCF of 5246,5717?

The HCF of 5246,5717 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 5246/596, 5717/666?

Answer: GCF of Numerators as per given numbers 5246/596, 5717/666 is

GCF of Numerators i.e. for 5246,5717 is 1

LCM of denominators i.e. for 596,666 is 198468.

Thus, GCF of Fractions is 1/198468.Finally, GCF of Fractions for 5246/596, 5717/666 is 1/198468.