Greatest Common Factor of 610/33, 204/932

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 610/33, 204/932

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 610/33,204/932

Given fractions are 610/33,204/932

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 610,204

Greatest Common Factor of Numerators i.e. GCF of 610,204 is 2 .

LCM of Denominators means LCM of 33,932 as per the given fractions.

LCM of 33,932 is 30756 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 610,204

GCF of Fractions 610/33,204/932 is 2/30756

2 610, 204
305, 102

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

Greatest Common Factor of 610,204 By Matching Biggest Common Factor Method

Greatest Common Factor of 610,204 By Matching Biggest Common Factor Method

Factors of 610

List of positive integer factors of 610 that divides 610 without a remainder.

1,2,5,10,61,122,305,610

Factors of 204

List of positive integer factors of 204 that divides 204 without a remainder.

1,2,3,4,6,12,17,34,51,68,102,204

Greatest Common Factor

We found the factors 610,204 . The biggest common factor number is the GCF number.
So the greatest common factor 610,204 is 2.

Lets's calculate LCM of 33,932

Given numbers has no common factors except 1. So, there LCM is their product i.e 30756

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/30756

Therefore, the GCF of Fractions 610/33,204/932 is 2/30756

Least Common Multiple of 33,932 with GCF Formula

Least Common Multiple of 33,932 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 33,932 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(33,932) = 1

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

GCF(33,932) x common factors =1 x 1 = 1

LCM(33,932) = ( 33 × 932 ) / 1

LCM(33,932) = 30756 / 1

LCM(33,932) = 30756


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 610/33, 204/932

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 610/33, 204/932?

Answer: GCF of Numerators as per given numbers 610/33, 204/932 is

GCF of Numerators i.e. for 610,204 is 2

LCM of denominators i.e. for 33,932 is 30756.

Thus, GCF of Fractions is 2/30756.Finally, GCF of Fractions for 610/33, 204/932 is 2/30756.