Greatest Common Factor of 22/50, 56/50, 146/105

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 22/50, 56/50, 146/105

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 22/50,56/50,146/105

Given fractions are 22/50,56/50,146/105

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 22,56,146

Greatest Common Factor of Numerators i.e. GCF of 22,56,146 is 2 .

LCM of Denominators means LCM of 50,50,105 as per the given fractions.

LCM of 50,50,105 is 1050 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 22,56,146

GCF of Fractions 22/50,56/50,146/105 is 2/1050

2 22, 56, 146
11, 28, 73

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

Greatest Common Factor of 22,56,146 By Matching Biggest Common Factor Method

Greatest Common Factor of 22,56,146 By Matching Biggest Common Factor Method

Factors of 22

List of positive integer factors of 22 that divides 22 without a remainder.

1,2,11,22

Factors of 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

Factors of 146

List of positive integer factors of 146 that divides 146 without a remainder.

1,2,73,146

Greatest Common Factor

We found the factors 22,56,146 . The biggest common factor number is the GCF number.
So the greatest common factor 22,56,146 is 2.

Lets's calculate LCM of 50,50,105

2 50, 50, 105
5 25, 25, 105
5 5, 5, 21
1, 1, 21

∴ So the LCM of the given numbers is 2 x 5 x 5 x 1 x 1 x 21 = 1050

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1050

Therefore, the GCF of Fractions 22/50,56/50,146/105 is 2/1050

Least Common Multiple of 50,50,105 with GCF Formula

Least Common Multiple of 50,50,105 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 50,50,105 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(50,50,105) = 5

common factors(in case of two or more numbers have common factors) = 50

GCF(50,50,105) x common factors =5 x 50 = 250

LCM(50,50,105) = ( 50 × 50 × 105 ) / 250

LCM(50,50,105) = 262500 / 250

LCM(50,50,105) = 1050


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 22/50, 56/50, 146/105

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 22/50, 56/50, 146/105?

Answer: GCF of Numerators as per given numbers 22/50, 56/50, 146/105 is

GCF of Numerators i.e. for 22,56,146 is 2

LCM of denominators i.e. for 50,50,105 is 1050.

Thus, GCF of Fractions is 2/1050.Finally, GCF of Fractions for 22/50, 56/50, 146/105 is 2/1050.