Greatest Common Factor of 2/68, 32/25, 66/456, 618/232

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2/68, 32/25, 66/456, 618/232

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 2/68,32/25,66/456,618/232

Given fractions are 2/68,32/25,66/456,618/232

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 2,32,66,618

Greatest Common Factor of Numerators i.e. GCF of 2,32,66,618 is 2 .

LCM of Denominators means LCM of 68,25,456,232 as per the given fractions.

LCM of 68,25,456,232 is 5620200 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2,32,66,618

GCF of Fractions 2/68,32/25,66/456,618/232 is 2/5620200

2 2, 32, 66, 618
1, 16, 33, 309

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

Greatest Common Factor of 2,32,66,618 By Matching Biggest Common Factor Method

Greatest Common Factor of 2,32,66,618 By Matching Biggest Common Factor Method

Factors of 2

List of positive integer factors of 2 that divides 2 without a remainder.

1,2

Factors of 32

List of positive integer factors of 32 that divides 32 without a remainder.

1,2,4,8,16,32

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

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 2,32,66,618 . The biggest common factor number is the GCF number.
So the greatest common factor 2,32,66,618 is 2.

Lets's calculate LCM of 68,25,456,232

2 68, 25, 456, 232
2 34, 25, 228, 116
2 17, 25, 114, 58
17, 25, 57, 29

∴ So the LCM of the given numbers is 2 x 2 x 2 x 17 x 25 x 57 x 29 = 5620200

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/5620200

Therefore, the GCF of Fractions 2/68,32/25,66/456,618/232 is 2/5620200

Least Common Multiple of 68,25,456,232 with GCF Formula

Least Common Multiple of 68,25,456,232 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 68,25,456,232 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(68,25,456,232) = 1

common factors(in case of two or more numbers have common factors) = 32

GCF(68,25,456,232) x common factors =1 x 32 = 32

LCM(68,25,456,232) = ( 68 × 25 × 456 × 232 ) / 32

LCM(68,25,456,232) = 179846400 / 32

LCM(68,25,456,232) = 5620200


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 2/68, 32/25, 66/456, 618/232

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 2/68, 32/25, 66/456, 618/232?

Answer: GCF of Numerators as per given numbers 2/68, 32/25, 66/456, 618/232 is

GCF of Numerators i.e. for 2,32,66,618 is 2

LCM of denominators i.e. for 68,25,456,232 is 5620200.

Thus, GCF of Fractions is 2/5620200.Finally, GCF of Fractions for 2/68, 32/25, 66/456, 618/232 is 2/5620200.