Greatest Common Factor of 719/38, 2507/209

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 719/38, 2507/209

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 719/38,2507/209

Given fractions are 719/38,2507/209

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 719,2507

Greatest Common Factor of Numerators i.e. GCF of 719,2507 is 1 .

LCM of Denominators means LCM of 38,209 as per the given fractions.

LCM of 38,209 is 418 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 719,2507

GCF of Fractions 719/38,2507/209 is 1/418

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

Greatest Common Factor of 719,2507 By Matching Biggest Common Factor Method

Greatest Common Factor of 719,2507 By Matching Biggest Common Factor Method

Factors of 719

List of positive integer factors of 719 that divides 719 without a remainder.

1,719

Factors of 2507

List of positive integer factors of 2507 that divides 2507 without a remainder.

1,23,109,2507

Greatest Common Factor

We found the factors 719,2507 . The biggest common factor number is the GCF number.
So the greatest common factor 719,2507 is 1.

Lets's calculate LCM of 38,209

19 38, 209
2, 11

∴ So the LCM of the given numbers is 19 x 2 x 11 = 418

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/418

Therefore, the GCF of Fractions 719/38,2507/209 is 1/418

Least Common Multiple of 38,209 with GCF Formula

Least Common Multiple of 38,209 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 38,209 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,209) = 19

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

GCF(38,209) x common factors =19 x 1 = 19

LCM(38,209) = ( 38 × 209 ) / 19

LCM(38,209) = 7942 / 19

LCM(38,209) = 418


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 719/38, 2507/209

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 719/38, 2507/209?

Answer: GCF of Numerators as per given numbers 719/38, 2507/209 is

GCF of Numerators i.e. for 719,2507 is 1

LCM of denominators i.e. for 38,209 is 418.

Thus, GCF of Fractions is 1/418.Finally, GCF of Fractions for 719/38, 2507/209 is 1/418.