Greatest Common Factor of 5219/25, 1055/473

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5219/25, 1055/473

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 5219/25,1055/473

Given fractions are 5219/25,1055/473

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 5219,1055

Greatest Common Factor of Numerators i.e. GCF of 5219,1055 is 1 .

LCM of Denominators means LCM of 25,473 as per the given fractions.

LCM of 25,473 is 11825 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5219,1055

GCF of Fractions 5219/25,1055/473 is 1/11825

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

Greatest Common Factor of 5219,1055 By Matching Biggest Common Factor Method

Greatest Common Factor of 5219,1055 By Matching Biggest Common Factor Method

Factors of 5219

List of positive integer factors of 5219 that divides 5219 without a remainder.

1,17,307,5219

Factors of 1055

List of positive integer factors of 1055 that divides 1055 without a remainder.

1,5,211,1055

Greatest Common Factor

We found the factors 5219,1055 . The biggest common factor number is the GCF number.
So the greatest common factor 5219,1055 is 1.

Lets's calculate LCM of 25,473

Given numbers has no common factors except 1. So, there LCM is their product i.e 11825

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/11825

Therefore, the GCF of Fractions 5219/25,1055/473 is 1/11825

Least Common Multiple of 25,473 with GCF Formula

Least Common Multiple of 25,473 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 25,473 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(25,473) = 1

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

GCF(25,473) x common factors =1 x 1 = 1

LCM(25,473) = ( 25 × 473 ) / 1

LCM(25,473) = 11825 / 1

LCM(25,473) = 11825


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 5219/25, 1055/473

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 5219/25, 1055/473?

Answer: GCF of Numerators as per given numbers 5219/25, 1055/473 is

GCF of Numerators i.e. for 5219,1055 is 1

LCM of denominators i.e. for 25,473 is 11825.

Thus, GCF of Fractions is 1/11825.Finally, GCF of Fractions for 5219/25, 1055/473 is 1/11825.