Greatest Common Factor of 195/83, 421/32, 820/554

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 195/83, 421/32, 820/554

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 195/83,421/32,820/554

Given fractions are 195/83,421/32,820/554

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 195,421,820

Greatest Common Factor of Numerators i.e. GCF of 195,421,820 is 1 .

LCM of Denominators means LCM of 83,32,554 as per the given fractions.

LCM of 83,32,554 is 735712 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 195,421,820

GCF of Fractions 195/83,421/32,820/554 is 1/735712

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

Greatest Common Factor of 195,421,820 By Matching Biggest Common Factor Method

Greatest Common Factor of 195,421,820 By Matching Biggest Common Factor Method

Factors of 195

List of positive integer factors of 195 that divides 195 without a remainder.

1,3,5,13,15,39,65,195

Factors of 421

List of positive integer factors of 421 that divides 421 without a remainder.

1,421

Factors of 820

List of positive integer factors of 820 that divides 820 without a remainder.

1,2,4,5,10,20,41,82,164,205,410,820

Greatest Common Factor

We found the factors 195,421,820 . The biggest common factor number is the GCF number.
So the greatest common factor 195,421,820 is 1.

Lets's calculate LCM of 83,32,554

2 83, 32, 554
83, 16, 277

∴ So the LCM of the given numbers is 2 x 83 x 16 x 277 = 735712

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/735712

Therefore, the GCF of Fractions 195/83,421/32,820/554 is 1/735712

Least Common Multiple of 83,32,554 with GCF Formula

Least Common Multiple of 83,32,554 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 83,32,554 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(83,32,554) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(83,32,554) x common factors =1 x 2 = 2

LCM(83,32,554) = ( 83 × 32 × 554 ) / 2

LCM(83,32,554) = 1471424 / 2

LCM(83,32,554) = 735712


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 195/83, 421/32, 820/554

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 195/83, 421/32, 820/554?

Answer: GCF of Numerators as per given numbers 195/83, 421/32, 820/554 is

GCF of Numerators i.e. for 195,421,820 is 1

LCM of denominators i.e. for 83,32,554 is 735712.

Thus, GCF of Fractions is 1/735712.Finally, GCF of Fractions for 195/83, 421/32, 820/554 is 1/735712.