How to Find GCF of 57/938, 47/340, 906/408?

GCF of 57/938, 47/340, 906/408

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 57/938, 47/340, 906/408 i.e 1/956760 easily. The following is the detailed procedure to determine the greatest common factor of fractions 57/938, 47/340, 906/408.

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 57/938,47/340,906/408?

Given fractions are 57/938,47/340,906/408

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 57/938,47/340,906/408, numerators are 57,47,906

Denominators are 938,340,408

The GCF of 57,47,906 is 1 .

LCM of 938,340,408 is 956760.

The greatest common factor of 57/938,47/340,906/408 = [GCF of 57,47,906]/[LCM of 938,340,408]= 1/956760

Therefore, the GCF of 57/938,47/340,906/408 is 1/956760.

Greatest Common Factor of 57,47,906

To find the highest common factor of 57,47,906, 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 47 are 1, 47

The factors of 906 are 1, 2, 3, 6, 151, 302, 453, 906

The HCF of 57,47,906 is 1.

Lets's calculate GCF of 57,47,906

Greatest Common Factor (GCF) of 57,47,906 By Common Division

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

Greatest Common Factor of 57,47,906 By Matching Biggest Common Factor Method

Now, list down the factors of 57

1,3,19,57

Now, list down the factors of 47

1,47

Now, list down the factors of 906

1,2,3,6,151,302,453,906

Greatest Common Factor

We found the factors 57,47,906 . The biggest common factor number is the GCF number.
So the greatest common factor 57,47,906 is 1.

Lets's calculate LCM of 938,340,408

Lowest Common Multiple of 938,340,408 using Common Division

2	938, 340, 408
2	469, 170, 204
17	469, 85, 102
	469, 5, 6

∴ So the LCM of the given numbers is 2 x 2 x 17 x 469 x 5 x 6 = 956760

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/956760

Therefore, the GCF of Fractions 57/938,47/340,906/408 is 1/956760

Least Common Multiple of 938,340,408 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 938,340,408 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(938,340,408) = 2

common factors(in case of two or more numbers have common factors) = 68

GCF(938,340,408) x common factors =2 x 68 = 136

LCM(938,340,408) = ( 938 × 340 × 408 ) / 136

LCM(938,340,408) = 130119360 / 136

LCM(938,340,408) = 956760

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 57/938, 47/340, 906/408

1. What is the HCF of 57,47,906?

The HCF of 57,47,906 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 57/938, 47/340, 906/408?

Answer: GCF of Numerators as per given numbers 57/938, 47/340, 906/408 is

GCF of Numerators i.e. for 57,47,906 is 1

LCM of denominators i.e. for 938,340,408 is 956760.

Thus, GCF of Fractions is 1/956760.Finally, GCF of Fractions for 57/938, 47/340, 906/408 is 1/956760.