Greatest Common Factor of 719/432, 1258/419

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 719/432, 1258/419

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 719/432,1258/419

Given fractions are 719/432,1258/419

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 719,1258

Greatest Common Factor of Numerators i.e. GCF of 719,1258 is 1 .

LCM of Denominators means LCM of 432,419 as per the given fractions.

LCM of 432,419 is 181008 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 719,1258

GCF of Fractions 719/432,1258/419 is 1/181008

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

Greatest Common Factor of 719,1258 By Matching Biggest Common Factor Method

Greatest Common Factor of 719,1258 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 1258

List of positive integer factors of 1258 that divides 1258 without a remainder.

1,2,17,34,37,74,629,1258

Greatest Common Factor

We found the factors 719,1258 . The biggest common factor number is the GCF number.
So the greatest common factor 719,1258 is 1.

Lets's calculate LCM of 432,419

Given numbers has no common factors except 1. So, there LCM is their product i.e 181008

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/181008

Therefore, the GCF of Fractions 719/432,1258/419 is 1/181008

Least Common Multiple of 432,419 with GCF Formula

Least Common Multiple of 432,419 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 432,419 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(432,419) = 1

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

GCF(432,419) x common factors =1 x 1 = 1

LCM(432,419) = ( 432 × 419 ) / 1

LCM(432,419) = 181008 / 1

LCM(432,419) = 181008


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 719/432, 1258/419

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 719/432, 1258/419?

Answer: GCF of Numerators as per given numbers 719/432, 1258/419 is

GCF of Numerators i.e. for 719,1258 is 1

LCM of denominators i.e. for 432,419 is 181008.

Thus, GCF of Fractions is 1/181008.Finally, GCF of Fractions for 719/432, 1258/419 is 1/181008.