Greatest Common Factor of 102/58, 893/73, 415/369

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 102/58, 893/73, 415/369

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 102/58,893/73,415/369

Given fractions are 102/58,893/73,415/369

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 102,893,415

Greatest Common Factor of Numerators i.e. GCF of 102,893,415 is 1 .

LCM of Denominators means LCM of 58,73,369 as per the given fractions.

LCM of 58,73,369 is 1562346 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 102,893,415

GCF of Fractions 102/58,893/73,415/369 is 1/1562346

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

Greatest Common Factor of 102,893,415 By Matching Biggest Common Factor Method

Greatest Common Factor of 102,893,415 By Matching Biggest Common Factor Method

Factors of 102

List of positive integer factors of 102 that divides 102 without a remainder.

1,2,3,6,17,34,51,102

Factors of 893

List of positive integer factors of 893 that divides 893 without a remainder.

1,19,47,893

Factors of 415

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

1,5,83,415

Greatest Common Factor

We found the factors 102,893,415 . The biggest common factor number is the GCF number.
So the greatest common factor 102,893,415 is 1.

Lets's calculate LCM of 58,73,369

Given numbers has no common factors except 1. So, there LCM is their product i.e 1562346

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1562346

Therefore, the GCF of Fractions 102/58,893/73,415/369 is 1/1562346

Least Common Multiple of 58,73,369 with GCF Formula

Least Common Multiple of 58,73,369 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 58,73,369 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(58,73,369) = 1

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

GCF(58,73,369) x common factors =1 x 1 = 1

LCM(58,73,369) = ( 58 × 73 × 369 ) / 1

LCM(58,73,369) = 1562346 / 1

LCM(58,73,369) = 1562346


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 102/58, 893/73, 415/369

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 102/58, 893/73, 415/369?

Answer: GCF of Numerators as per given numbers 102/58, 893/73, 415/369 is

GCF of Numerators i.e. for 102,893,415 is 1

LCM of denominators i.e. for 58,73,369 is 1562346.

Thus, GCF of Fractions is 1/1562346.Finally, GCF of Fractions for 102/58, 893/73, 415/369 is 1/1562346.