How to Find GCF of 57/508, 66/377, 731/802?

GCF of 57/508, 66/377, 731/802

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 57/508, 66/377, 731/802 i.e 1/76797916 easily. The following is the detailed procedure to determine the greatest common factor of fractions 57/508, 66/377, 731/802.

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 57/508,66/377,731/802?

Given fractions are 57/508,66/377,731/802

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 57/508,66/377,731/802, numerators are 57,66,731

Denominators are 508,377,802

The GCF of 57,66,731 is 1 .

LCM of 508,377,802 is 76797916.

The greatest common factor of 57/508,66/377,731/802 = [GCF of 57,66,731]/[LCM of 508,377,802]= 1/76797916

Therefore, the GCF of 57/508,66/377,731/802 is 1/76797916.

Greatest Common Factor of 57,66,731

To find the highest common factor of 57,66,731, we have to find the factors of both numbers and list the highest common factor.

The factors of 57 are 1, 3, 19, 57

The factors of 66 are 1, 2, 3, 6, 11, 22, 33, 66

The factors of 731 are 1, 17, 43, 731

The HCF of 57,66,731 is 1.

Lets's calculate GCF of 57,66,731

Greatest Common Factor (GCF) of 57,66,731 By Common Division

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

Greatest Common Factor of 57,66,731 By Matching Biggest Common Factor Method

Now, list down the factors of 57

1,3,19,57

Now, list down the factors of 66

1,2,3,6,11,22,33,66

Now, list down the factors of 731

1,17,43,731

Greatest Common Factor

We found the factors 57,66,731 . The biggest common factor number is the GCF number.
So the greatest common factor 57,66,731 is 1.

Lets's calculate LCM of 508,377,802

Lowest Common Multiple of 508,377,802 using Common Division

2	508, 377, 802
	254, 377, 401

∴ So the LCM of the given numbers is 2 x 254 x 377 x 401 = 76797916

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/76797916

Therefore, the GCF of Fractions 57/508,66/377,731/802 is 1/76797916

Least Common Multiple of 508,377,802 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 508,377,802 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(508,377,802) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(508,377,802) x common factors =1 x 2 = 2

LCM(508,377,802) = ( 508 × 377 × 802 ) / 2

LCM(508,377,802) = 153595832 / 2

LCM(508,377,802) = 76797916

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 57/508, 66/377, 731/802

1. What is the HCF of 57,66,731?

The HCF of 57,66,731 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 57/508, 66/377, 731/802?

Answer: GCF of Numerators as per given numbers 57/508, 66/377, 731/802 is

GCF of Numerators i.e. for 57,66,731 is 1

LCM of denominators i.e. for 508,377,802 is 76797916.

Thus, GCF of Fractions is 1/76797916.Finally, GCF of Fractions for 57/508, 66/377, 731/802 is 1/76797916.