Greatest Common Factor of 394/87, 449/84, 417/128

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 394/87, 449/84, 417/128

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 394/87,449/84,417/128

Given fractions are 394/87,449/84,417/128

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 394,449,417

Greatest Common Factor of Numerators i.e. GCF of 394,449,417 is 1 .

LCM of Denominators means LCM of 87,84,128 as per the given fractions.

LCM of 87,84,128 is 77952 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 394,449,417

GCF of Fractions 394/87,449/84,417/128 is 1/77952

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

Greatest Common Factor of 394,449,417 By Matching Biggest Common Factor Method

Greatest Common Factor of 394,449,417 By Matching Biggest Common Factor Method

Factors of 394

List of positive integer factors of 394 that divides 394 without a remainder.

1,2,197,394

Factors of 449

List of positive integer factors of 449 that divides 449 without a remainder.

1,449

Factors of 417

List of positive integer factors of 417 that divides 417 without a remainder.

1,3,139,417

Greatest Common Factor

We found the factors 394,449,417 . The biggest common factor number is the GCF number.
So the greatest common factor 394,449,417 is 1.

Lets's calculate LCM of 87,84,128

2 87, 84, 128
2 87, 42, 64
3 87, 21, 32
29, 7, 32

∴ So the LCM of the given numbers is 2 x 2 x 3 x 29 x 7 x 32 = 77952

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/77952

Therefore, the GCF of Fractions 394/87,449/84,417/128 is 1/77952

Least Common Multiple of 87,84,128 with GCF Formula

Least Common Multiple of 87,84,128 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 87,84,128 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,84,128) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(87,84,128) x common factors =1 x 12 = 12

LCM(87,84,128) = ( 87 × 84 × 128 ) / 12

LCM(87,84,128) = 935424 / 12

LCM(87,84,128) = 77952


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 394/87, 449/84, 417/128

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 394/87, 449/84, 417/128?

Answer: GCF of Numerators as per given numbers 394/87, 449/84, 417/128 is

GCF of Numerators i.e. for 394,449,417 is 1

LCM of denominators i.e. for 87,84,128 is 77952.

Thus, GCF of Fractions is 1/77952.Finally, GCF of Fractions for 394/87, 449/84, 417/128 is 1/77952.