Greatest Common Factor of 415/87, 838/29, 664/107

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 415/87, 838/29, 664/107

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 415/87,838/29,664/107

Given fractions are 415/87,838/29,664/107

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 415,838,664

Greatest Common Factor of Numerators i.e. GCF of 415,838,664 is 1 .

LCM of Denominators means LCM of 87,29,107 as per the given fractions.

LCM of 87,29,107 is 9309 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 415,838,664

GCF of Fractions 415/87,838/29,664/107 is 1/9309

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

Greatest Common Factor of 415,838,664 By Matching Biggest Common Factor Method

Greatest Common Factor of 415,838,664 By Matching Biggest Common Factor Method

Factors of 415

List of positive integer factors of 415 that divides 415 without a remainder.

1,5,83,415

Factors of 838

List of positive integer factors of 838 that divides 838 without a remainder.

1,2,419,838

Factors of 664

List of positive integer factors of 664 that divides 664 without a remainder.

1,2,4,8,83,166,332,664

Greatest Common Factor

We found the factors 415,838,664 . The biggest common factor number is the GCF number.
So the greatest common factor 415,838,664 is 1.

Lets's calculate LCM of 87,29,107

29 87, 29, 107
3, 1, 107

∴ So the LCM of the given numbers is 29 x 3 x 1 x 107 = 9309

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9309

Therefore, the GCF of Fractions 415/87,838/29,664/107 is 1/9309

Least Common Multiple of 87,29,107 with GCF Formula

Least Common Multiple of 87,29,107 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 87,29,107 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,29,107) = 1

common factors(in case of two or more numbers have common factors) = 29

GCF(87,29,107) x common factors =1 x 29 = 29

LCM(87,29,107) = ( 87 × 29 × 107 ) / 29

LCM(87,29,107) = 269961 / 29

LCM(87,29,107) = 9309


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 415/87, 838/29, 664/107

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 415/87, 838/29, 664/107?

Answer: GCF of Numerators as per given numbers 415/87, 838/29, 664/107 is

GCF of Numerators i.e. for 415,838,664 is 1

LCM of denominators i.e. for 87,29,107 is 9309.

Thus, GCF of Fractions is 1/9309.Finally, GCF of Fractions for 415/87, 838/29, 664/107 is 1/9309.