Greatest Common Factor of 461/22, 505/37, 251/22

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 461/22, 505/37, 251/22

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 461/22,505/37,251/22

Given fractions are 461/22,505/37,251/22

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 461,505,251

Greatest Common Factor of Numerators i.e. GCF of 461,505,251 is 1 .

LCM of Denominators means LCM of 22,37,22 as per the given fractions.

LCM of 22,37,22 is 814 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 461,505,251

GCF of Fractions 461/22,505/37,251/22 is 1/814

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

Greatest Common Factor of 461,505,251 By Matching Biggest Common Factor Method

Greatest Common Factor of 461,505,251 By Matching Biggest Common Factor Method

Factors of 461

List of positive integer factors of 461 that divides 461 without a remainder.

1,461

Factors of 505

List of positive integer factors of 505 that divides 505 without a remainder.

1,5,101,505

Factors of 251

List of positive integer factors of 251 that divides 251 without a remainder.

1,251

Greatest Common Factor

We found the factors 461,505,251 . The biggest common factor number is the GCF number.
So the greatest common factor 461,505,251 is 1.

Lets's calculate LCM of 22,37,22

2 22, 37, 22
11 11, 37, 11
1, 37, 1

∴ So the LCM of the given numbers is 2 x 11 x 1 x 37 x 1 = 814

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/814

Therefore, the GCF of Fractions 461/22,505/37,251/22 is 1/814

Least Common Multiple of 22,37,22 with GCF Formula

Least Common Multiple of 22,37,22 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 22,37,22 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(22,37,22) = 1

common factors(in case of two or more numbers have common factors) = 22

GCF(22,37,22) x common factors =1 x 22 = 22

LCM(22,37,22) = ( 22 × 37 × 22 ) / 22

LCM(22,37,22) = 17908 / 22

LCM(22,37,22) = 814


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 461/22, 505/37, 251/22

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 461/22, 505/37, 251/22?

Answer: GCF of Numerators as per given numbers 461/22, 505/37, 251/22 is

GCF of Numerators i.e. for 461,505,251 is 1

LCM of denominators i.e. for 22,37,22 is 814.

Thus, GCF of Fractions is 1/814.Finally, GCF of Fractions for 461/22, 505/37, 251/22 is 1/814.