Greatest Common Factor of 437/27, 397/14, 256/117

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 437/27, 397/14, 256/117

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 437/27,397/14,256/117

Given fractions are 437/27,397/14,256/117

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 437,397,256

Greatest Common Factor of Numerators i.e. GCF of 437,397,256 is 1 .

LCM of Denominators means LCM of 27,14,117 as per the given fractions.

LCM of 27,14,117 is 4914 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 437,397,256

GCF of Fractions 437/27,397/14,256/117 is 1/4914

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

Greatest Common Factor of 437,397,256 By Matching Biggest Common Factor Method

Greatest Common Factor of 437,397,256 By Matching Biggest Common Factor Method

Factors of 437

List of positive integer factors of 437 that divides 437 without a remainder.

1,19,23,437

Factors of 397

List of positive integer factors of 397 that divides 397 without a remainder.

1,397

Factors of 256

List of positive integer factors of 256 that divides 256 without a remainder.

1,2,4,8,16,32,64,128,256

Greatest Common Factor

We found the factors 437,397,256 . The biggest common factor number is the GCF number.
So the greatest common factor 437,397,256 is 1.

Lets's calculate LCM of 27,14,117

3 27, 14, 117
3 9, 14, 39
3, 14, 13

∴ So the LCM of the given numbers is 3 x 3 x 3 x 14 x 13 = 4914

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4914

Therefore, the GCF of Fractions 437/27,397/14,256/117 is 1/4914

Least Common Multiple of 27,14,117 with GCF Formula

Least Common Multiple of 27,14,117 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 27,14,117 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(27,14,117) = 1

common factors(in case of two or more numbers have common factors) = 9

GCF(27,14,117) x common factors =1 x 9 = 9

LCM(27,14,117) = ( 27 × 14 × 117 ) / 9

LCM(27,14,117) = 44226 / 9

LCM(27,14,117) = 4914


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

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Frequently Asked Questions on Fractional GCF of 437/27, 397/14, 256/117

1. 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.

2. What is the GCF of Fractions for 437/27, 397/14, 256/117?

Answer: GCF of Numerators as per given numbers 437/27, 397/14, 256/117 is

GCF of Numerators i.e. for 437,397,256 is 1

LCM of denominators i.e. for 27,14,117 is 4914.

Thus, GCF of Fractions is 1/4914.Finally, GCF of Fractions for 437/27, 397/14, 256/117 is 1/4914.