Greatest Common Factor of 1/22, 13/83, 80/964, 183/580

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1/22, 13/83, 80/964, 183/580

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 1/22,13/83,80/964,183/580

Given fractions are 1/22,13/83,80/964,183/580

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 1,13,80,183

Greatest Common Factor of Numerators i.e. GCF of 1,13,80,183 is 1 .

LCM of Denominators means LCM of 22,83,964,580 as per the given fractions.

LCM of 22,83,964,580 is 127619140 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1,13,80,183

GCF of Fractions 1/22,13/83,80/964,183/580 is 1/127619140

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

Greatest Common Factor of 1,13,80,183 By Matching Biggest Common Factor Method

Greatest Common Factor of 1,13,80,183 By Matching Biggest Common Factor Method

Factors of 1

List of positive integer factors of 1 that divides 1 without a remainder.

1

Factors of 13

List of positive integer factors of 13 that divides 13 without a remainder.

1,13

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 183

List of positive integer factors of 183 that divides 183 without a remainder.

1,3,61,183

Greatest Common Factor

We found the factors 1,13,80,183 . The biggest common factor number is the GCF number.
So the greatest common factor 1,13,80,183 is 1.

Lets's calculate LCM of 22,83,964,580

2 22, 83, 964, 580
2 11, 83, 482, 290
11, 83, 241, 145

∴ So the LCM of the given numbers is 2 x 2 x 11 x 83 x 241 x 145 = 127619140

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/127619140

Therefore, the GCF of Fractions 1/22,13/83,80/964,183/580 is 1/127619140

Least Common Multiple of 22,83,964,580 with GCF Formula

Least Common Multiple of 22,83,964,580 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 22,83,964,580 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(22,83,964,580) = 1

common factors(in case of two or more numbers have common factors) = 8

GCF(22,83,964,580) x common factors =1 x 8 = 8

LCM(22,83,964,580) = ( 22 × 83 × 964 × 580 ) / 8

LCM(22,83,964,580) = 1020953120 / 8

LCM(22,83,964,580) = 127619140


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 1/22, 13/83, 80/964, 183/580

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 1/22, 13/83, 80/964, 183/580?

Answer: GCF of Numerators as per given numbers 1/22, 13/83, 80/964, 183/580 is

GCF of Numerators i.e. for 1,13,80,183 is 1

LCM of denominators i.e. for 22,83,964,580 is 127619140.

Thus, GCF of Fractions is 1/127619140.Finally, GCF of Fractions for 1/22, 13/83, 80/964, 183/580 is 1/127619140.