Greatest Common Factor of 1415/495, 5100/129

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1415/495, 5100/129

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 1415/495,5100/129

Given fractions are 1415/495,5100/129

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 1415,5100

Greatest Common Factor of Numerators i.e. GCF of 1415,5100 is 5 .

LCM of Denominators means LCM of 495,129 as per the given fractions.

LCM of 495,129 is 21285 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1415,5100

GCF of Fractions 1415/495,5100/129 is 5/21285

5 1415, 5100
283, 1020

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 1415,5100 By Matching Biggest Common Factor Method

Greatest Common Factor of 1415,5100 By Matching Biggest Common Factor Method

Factors of 1415

List of positive integer factors of 1415 that divides 1415 without a remainder.

1,5,283,1415

Factors of 5100

List of positive integer factors of 5100 that divides 5100 without a remainder.

1,2,3,4,5,6,10,12,15,17,20,25,30,34,50,51,60,68,75,85,100,102,150,170,204,255,300,340,425,510,850,1020,1275,1700,2550,5100

Greatest Common Factor

We found the factors 1415,5100 . The biggest common factor number is the GCF number.
So the greatest common factor 1415,5100 is 5.

Lets's calculate LCM of 495,129

3 495, 129
165, 43

∴ So the LCM of the given numbers is 3 x 165 x 43 = 21285

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/21285

Therefore, the GCF of Fractions 1415/495,5100/129 is 5/21285

Least Common Multiple of 495,129 with GCF Formula

Least Common Multiple of 495,129 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 495,129 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(495,129) = 3

common factors(in case of two or more numbers have common factors) = 1

GCF(495,129) x common factors =3 x 1 = 3

LCM(495,129) = ( 495 × 129 ) / 3

LCM(495,129) = 63855 / 3

LCM(495,129) = 21285


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 1415/495, 5100/129

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 1415/495, 5100/129?

Answer: GCF of Numerators as per given numbers 1415/495, 5100/129 is

GCF of Numerators i.e. for 1415,5100 is 5

LCM of denominators i.e. for 495,129 is 21285.

Thus, GCF of Fractions is 5/21285.Finally, GCF of Fractions for 1415/495, 5100/129 is 5/21285.