Greatest Common Factor of 19/875, 522/740

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 19/875, 522/740

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 19/875,522/740

Given fractions are 19/875,522/740

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 19,522

Greatest Common Factor of Numerators i.e. GCF of 19,522 is 1 .

LCM of Denominators means LCM of 875,740 as per the given fractions.

LCM of 875,740 is 129500 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 19,522

GCF of Fractions 19/875,522/740 is 1/129500

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

Greatest Common Factor of 19,522 By Matching Biggest Common Factor Method

Greatest Common Factor of 19,522 By Matching Biggest Common Factor Method

Factors of 19

List of positive integer factors of 19 that divides 19 without a remainder.

1,19

Factors of 522

List of positive integer factors of 522 that divides 522 without a remainder.

1,2,3,6,9,18,29,58,87,174,261,522

Greatest Common Factor

We found the factors 19,522 . The biggest common factor number is the GCF number.
So the greatest common factor 19,522 is 1.

Lets's calculate LCM of 875,740

5 875, 740
175, 148

∴ So the LCM of the given numbers is 5 x 175 x 148 = 129500

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/129500

Therefore, the GCF of Fractions 19/875,522/740 is 1/129500

Least Common Multiple of 875,740 with GCF Formula

Least Common Multiple of 875,740 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 875,740 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(875,740) = 5

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

GCF(875,740) x common factors =5 x 1 = 5

LCM(875,740) = ( 875 × 740 ) / 5

LCM(875,740) = 647500 / 5

LCM(875,740) = 129500


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 19/875, 522/740

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 19/875, 522/740?

Answer: GCF of Numerators as per given numbers 19/875, 522/740 is

GCF of Numerators i.e. for 19,522 is 1

LCM of denominators i.e. for 875,740 is 129500.

Thus, GCF of Fractions is 1/129500.Finally, GCF of Fractions for 19/875, 522/740 is 1/129500.