Greatest Common Factor of 61/895, 71/244, 205/644

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 61/895, 71/244, 205/644

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 61/895,71/244,205/644

Given fractions are 61/895,71/244,205/644

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 61,71,205

Greatest Common Factor of Numerators i.e. GCF of 61,71,205 is 1 .

LCM of Denominators means LCM of 895,244,644 as per the given fractions.

LCM of 895,244,644 is 35159180 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 61,71,205

GCF of Fractions 61/895,71/244,205/644 is 1/35159180

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

Greatest Common Factor of 61,71,205 By Matching Biggest Common Factor Method

Greatest Common Factor of 61,71,205 By Matching Biggest Common Factor Method

Factors of 61

List of positive integer factors of 61 that divides 61 without a remainder.

1,61

Factors of 71

List of positive integer factors of 71 that divides 71 without a remainder.

1,71

Factors of 205

List of positive integer factors of 205 that divides 205 without a remainder.

1,5,41,205

Greatest Common Factor

We found the factors 61,71,205 . The biggest common factor number is the GCF number.
So the greatest common factor 61,71,205 is 1.

Lets's calculate LCM of 895,244,644

2 895, 244, 644
2 895, 122, 322
895, 61, 161

∴ So the LCM of the given numbers is 2 x 2 x 895 x 61 x 161 = 35159180

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/35159180

Therefore, the GCF of Fractions 61/895,71/244,205/644 is 1/35159180

Least Common Multiple of 895,244,644 with GCF Formula

Least Common Multiple of 895,244,644 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 895,244,644 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(895,244,644) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(895,244,644) x common factors =1 x 4 = 4

LCM(895,244,644) = ( 895 × 244 × 644 ) / 4

LCM(895,244,644) = 140636720 / 4

LCM(895,244,644) = 35159180


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 61/895, 71/244, 205/644

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 61/895, 71/244, 205/644?

Answer: GCF of Numerators as per given numbers 61/895, 71/244, 205/644 is

GCF of Numerators i.e. for 61,71,205 is 1

LCM of denominators i.e. for 895,244,644 is 35159180.

Thus, GCF of Fractions is 1/35159180.Finally, GCF of Fractions for 61/895, 71/244, 205/644 is 1/35159180.