How to Find GCF of 57/744, 31/186, 958/503?

GCF of 57/744, 31/186, 958/503

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 57/744, 31/186, 958/503 i.e 1/374232 easily. The following is the detailed procedure to determine the greatest common factor of fractions 57/744, 31/186, 958/503.

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 57/744,31/186,958/503?

Given fractions are 57/744,31/186,958/503

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 57/744,31/186,958/503, numerators are 57,31,958

Denominators are 744,186,503

The GCF of 57,31,958 is 1 .

LCM of 744,186,503 is 374232.

The greatest common factor of 57/744,31/186,958/503 = [GCF of 57,31,958]/[LCM of 744,186,503]= 1/374232

Therefore, the GCF of 57/744,31/186,958/503 is 1/374232.

Greatest Common Factor of 57,31,958

To find the highest common factor of 57,31,958, 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 31 are 1, 31

The factors of 958 are 1, 2, 479, 958

The HCF of 57,31,958 is 1.

Lets's calculate GCF of 57,31,958

Greatest Common Factor (GCF) of 57,31,958 By Common Division

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

Greatest Common Factor of 57,31,958 By Matching Biggest Common Factor Method

Now, list down the factors of 57

1,3,19,57

Now, list down the factors of 31

1,31

Now, list down the factors of 958

1,2,479,958

Greatest Common Factor

We found the factors 57,31,958 . The biggest common factor number is the GCF number.
So the greatest common factor 57,31,958 is 1.

Lets's calculate LCM of 744,186,503

Lowest Common Multiple of 744,186,503 using Common Division

2	744, 186, 503
3	372, 93, 503
31	124, 31, 503
	4, 1, 503

∴ So the LCM of the given numbers is 2 x 3 x 31 x 4 x 1 x 503 = 374232

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/374232

Therefore, the GCF of Fractions 57/744,31/186,958/503 is 1/374232

Least Common Multiple of 744,186,503 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 744,186,503 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(744,186,503) = 1

common factors(in case of two or more numbers have common factors) = 186

GCF(744,186,503) x common factors =1 x 186 = 186

LCM(744,186,503) = ( 744 × 186 × 503 ) / 186

LCM(744,186,503) = 69607152 / 186

LCM(744,186,503) = 374232

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 57/744, 31/186, 958/503

1. What is the HCF of 57,31,958?

The HCF of 57,31,958 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 57/744, 31/186, 958/503?

Answer: GCF of Numerators as per given numbers 57/744, 31/186, 958/503 is

GCF of Numerators i.e. for 57,31,958 is 1

LCM of denominators i.e. for 744,186,503 is 374232.

Thus, GCF of Fractions is 1/374232.Finally, GCF of Fractions for 57/744, 31/186, 958/503 is 1/374232.