Greatest Common Factor of 9029/852, 2050/123

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9029/852, 2050/123

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 9029/852,2050/123

Given fractions are 9029/852,2050/123

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 9029,2050

Greatest Common Factor of Numerators i.e. GCF of 9029,2050 is 1 .

LCM of Denominators means LCM of 852,123 as per the given fractions.

LCM of 852,123 is 34932 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9029,2050

GCF of Fractions 9029/852,2050/123 is 1/34932

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

Greatest Common Factor of 9029,2050 By Matching Biggest Common Factor Method

Greatest Common Factor of 9029,2050 By Matching Biggest Common Factor Method

Factors of 9029

List of positive integer factors of 9029 that divides 9029 without a remainder.

1,9029

Factors of 2050

List of positive integer factors of 2050 that divides 2050 without a remainder.

1,2,5,10,25,41,50,82,205,410,1025,2050

Greatest Common Factor

We found the factors 9029,2050 . The biggest common factor number is the GCF number.
So the greatest common factor 9029,2050 is 1.

Lets's calculate LCM of 852,123

3 852, 123
284, 41

∴ So the LCM of the given numbers is 3 x 284 x 41 = 34932

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/34932

Therefore, the GCF of Fractions 9029/852,2050/123 is 1/34932

Least Common Multiple of 852,123 with GCF Formula

Least Common Multiple of 852,123 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 852,123 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(852,123) = 3

common factors(in case of two or more numbers have common factors) = 1

GCF(852,123) x common factors =3 x 1 = 3

LCM(852,123) = ( 852 × 123 ) / 3

LCM(852,123) = 104796 / 3

LCM(852,123) = 34932


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 9029/852, 2050/123

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 9029/852, 2050/123?

Answer: GCF of Numerators as per given numbers 9029/852, 2050/123 is

GCF of Numerators i.e. for 9029,2050 is 1

LCM of denominators i.e. for 852,123 is 34932.

Thus, GCF of Fractions is 1/34932.Finally, GCF of Fractions for 9029/852, 2050/123 is 1/34932.