How to Find GCF of 5257/356, 1576/2836?

GCF of 5257/356, 1576/2836

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 5257/356, 1576/2836 i.e 1/252404 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5257/356, 1576/2836.

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 5257/356,1576/2836?

Given fractions are 5257/356,1576/2836

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 5257/356,1576/2836, numerators are 5257,1576

Denominators are 356,2836

The GCF of 5257,1576 is 1 .

LCM of 356,2836 is 252404.

The greatest common factor of 5257/356,1576/2836 = [GCF of 5257,1576]/[LCM of 356,2836]= 1/252404

Therefore, the GCF of 5257/356,1576/2836 is 1/252404.

Greatest Common Factor of 5257,1576

To find the highest common factor of 5257,1576, we have to find the factors of both numbers and list the highest common factor.

The factors of 5257 are 1, 7, 751, 5257

The factors of 1576 are 1, 2, 4, 8, 197, 394, 788, 1576

The HCF of 5257,1576 is 1.

Lets's calculate GCF of 5257,1576

Greatest Common Factor (GCF) of 5257,1576 By Common Division

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

Greatest Common Factor of 5257,1576 By Matching Biggest Common Factor Method

Now, list down the factors of 5257

1,7,751,5257

Now, list down the factors of 1576

1,2,4,8,197,394,788,1576

Greatest Common Factor

We found the factors 5257,1576 . The biggest common factor number is the GCF number.
So the greatest common factor 5257,1576 is 1.

Lets's calculate LCM of 356,2836

Lowest Common Multiple of 356,2836 using Common Division

2	356, 2836
2	178, 1418
	89, 709

∴ So the LCM of the given numbers is 2 x 2 x 89 x 709 = 252404

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/252404

Therefore, the GCF of Fractions 5257/356,1576/2836 is 1/252404

Least Common Multiple of 356,2836 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 356,2836 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(356,2836) = 4

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

GCF(356,2836) x common factors =4 x 1 = 4

LCM(356,2836) = ( 356 × 2836 ) / 4

LCM(356,2836) = 1009616 / 4

LCM(356,2836) = 252404

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 5257/356, 1576/2836

1. What is the HCF of 5257,1576?

The HCF of 5257,1576 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 5257/356, 1576/2836?

Answer: GCF of Numerators as per given numbers 5257/356, 1576/2836 is

GCF of Numerators i.e. for 5257,1576 is 1

LCM of denominators i.e. for 356,2836 is 252404.

Thus, GCF of Fractions is 1/252404.Finally, GCF of Fractions for 5257/356, 1576/2836 is 1/252404.