How to Find GCF of 4573/588, 2714/976?

GCF of 4573/588, 2714/976

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 4573/588, 2714/976 i.e 1/143472 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4573/588, 2714/976.

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 4573/588,2714/976?

Given fractions are 4573/588,2714/976

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 4573/588,2714/976, numerators are 4573,2714

Denominators are 588,976

The GCF of 4573,2714 is 1 .

LCM of 588,976 is 143472.

The greatest common factor of 4573/588,2714/976 = [GCF of 4573,2714]/[LCM of 588,976]= 1/143472

Therefore, the GCF of 4573/588,2714/976 is 1/143472.

Greatest Common Factor of 4573,2714

To find the highest common factor of 4573,2714, we have to find the factors of both numbers and list the highest common factor.

The factors of 4573 are 1, 17, 269, 4573

The factors of 2714 are 1, 2, 23, 46, 59, 118, 1357, 2714

The HCF of 4573,2714 is 1.

Lets's calculate GCF of 4573,2714

Greatest Common Factor (GCF) of 4573,2714 By Common Division

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

Greatest Common Factor of 4573,2714 By Matching Biggest Common Factor Method

Now, list down the factors of 4573

1,17,269,4573

Now, list down the factors of 2714

1,2,23,46,59,118,1357,2714

Greatest Common Factor

We found the factors 4573,2714 . The biggest common factor number is the GCF number.
So the greatest common factor 4573,2714 is 1.

Lets's calculate LCM of 588,976

Lowest Common Multiple of 588,976 using Common Division

2	588, 976
2	294, 488
	147, 244

∴ So the LCM of the given numbers is 2 x 2 x 147 x 244 = 143472

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/143472

Therefore, the GCF of Fractions 4573/588,2714/976 is 1/143472

Least Common Multiple of 588,976 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 588,976 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(588,976) = 4

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

GCF(588,976) x common factors =4 x 1 = 4

LCM(588,976) = ( 588 × 976 ) / 4

LCM(588,976) = 573888 / 4

LCM(588,976) = 143472

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FAQs on GCF of Fractions of 4573/588, 2714/976

1. What is the HCF of 4573,2714?

The HCF of 4573,2714 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 4573/588, 2714/976?

Answer: GCF of Numerators as per given numbers 4573/588, 2714/976 is

GCF of Numerators i.e. for 4573,2714 is 1

LCM of denominators i.e. for 588,976 is 143472.

Thus, GCF of Fractions is 1/143472.Finally, GCF of Fractions for 4573/588, 2714/976 is 1/143472.