Greatest Common Factor of 68/53, 370/21, 618/406

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 68/53, 370/21, 618/406

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 68/53,370/21,618/406

Given fractions are 68/53,370/21,618/406

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 68,370,618

Greatest Common Factor of Numerators i.e. GCF of 68,370,618 is 2 .

LCM of Denominators means LCM of 53,21,406 as per the given fractions.

LCM of 53,21,406 is 64554 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 68,370,618

GCF of Fractions 68/53,370/21,618/406 is 2/64554

2 68, 370, 618
34, 185, 309

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

Greatest Common Factor of 68,370,618 By Matching Biggest Common Factor Method

Greatest Common Factor of 68,370,618 By Matching Biggest Common Factor Method

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 370

List of positive integer factors of 370 that divides 370 without a remainder.

1,2,5,10,37,74,185,370

Factors of 618

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

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

Greatest Common Factor

We found the factors 68,370,618 . The biggest common factor number is the GCF number.
So the greatest common factor 68,370,618 is 2.

Lets's calculate LCM of 53,21,406

7 53, 21, 406
53, 3, 58

∴ So the LCM of the given numbers is 7 x 53 x 3 x 58 = 64554

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/64554

Therefore, the GCF of Fractions 68/53,370/21,618/406 is 2/64554

Least Common Multiple of 53,21,406 with GCF Formula

Least Common Multiple of 53,21,406 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 53,21,406 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(53,21,406) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(53,21,406) x common factors =1 x 7 = 7

LCM(53,21,406) = ( 53 × 21 × 406 ) / 7

LCM(53,21,406) = 451878 / 7

LCM(53,21,406) = 64554


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 68/53, 370/21, 618/406

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 68/53, 370/21, 618/406?

Answer: GCF of Numerators as per given numbers 68/53, 370/21, 618/406 is

GCF of Numerators i.e. for 68,370,618 is 2

LCM of denominators i.e. for 53,21,406 is 64554.

Thus, GCF of Fractions is 2/64554.Finally, GCF of Fractions for 68/53, 370/21, 618/406 is 2/64554.