Greatest Common Factor of 618/97, 348/83, 926/415

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 618/97, 348/83, 926/415

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 618/97,348/83,926/415

Given fractions are 618/97,348/83,926/415

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 618,348,926

Greatest Common Factor of Numerators i.e. GCF of 618,348,926 is 2 .

LCM of Denominators means LCM of 97,83,415 as per the given fractions.

LCM of 97,83,415 is 40255 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 618,348,926

GCF of Fractions 618/97,348/83,926/415 is 2/40255

2 618, 348, 926
309, 174, 463

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 618,348,926 By Matching Biggest Common Factor Method

Greatest Common Factor of 618,348,926 By Matching Biggest Common Factor Method

Factors of 618

List of positive integer factors of 618 that divides 618 without a remainder.

1,2,3,6,103,206,309,618

Factors of 348

List of positive integer factors of 348 that divides 348 without a remainder.

1,2,3,4,6,12,29,58,87,116,174,348

Factors of 926

List of positive integer factors of 926 that divides 926 without a remainder.

1,2,463,926

Greatest Common Factor

We found the factors 618,348,926 . The biggest common factor number is the GCF number.
So the greatest common factor 618,348,926 is 2.

Lets's calculate LCM of 97,83,415

83 97, 83, 415
97, 1, 5

∴ So the LCM of the given numbers is 83 x 97 x 1 x 5 = 40255

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/40255

Therefore, the GCF of Fractions 618/97,348/83,926/415 is 2/40255

Least Common Multiple of 97,83,415 with GCF Formula

Least Common Multiple of 97,83,415 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 97,83,415 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(97,83,415) = 1

common factors(in case of two or more numbers have common factors) = 83

GCF(97,83,415) x common factors =1 x 83 = 83

LCM(97,83,415) = ( 97 × 83 × 415 ) / 83

LCM(97,83,415) = 3341165 / 83

LCM(97,83,415) = 40255


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 618/97, 348/83, 926/415

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 618/97, 348/83, 926/415?

Answer: GCF of Numerators as per given numbers 618/97, 348/83, 926/415 is

GCF of Numerators i.e. for 618,348,926 is 2

LCM of denominators i.e. for 97,83,415 is 40255.

Thus, GCF of Fractions is 2/40255.Finally, GCF of Fractions for 618/97, 348/83, 926/415 is 2/40255.