Greatest Common Factor of 8319/457, 3719/953

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8319/457, 3719/953

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 8319/457,3719/953

Given fractions are 8319/457,3719/953

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 8319,3719

Greatest Common Factor of Numerators i.e. GCF of 8319,3719 is 1 .

LCM of Denominators means LCM of 457,953 as per the given fractions.

LCM of 457,953 is 435521 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8319,3719

GCF of Fractions 8319/457,3719/953 is 1/435521

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

Greatest Common Factor of 8319,3719 By Matching Biggest Common Factor Method

Greatest Common Factor of 8319,3719 By Matching Biggest Common Factor Method

Factors of 8319

List of positive integer factors of 8319 that divides 8319 without a remainder.

1,3,47,59,141,177,2773,8319

Factors of 3719

List of positive integer factors of 3719 that divides 3719 without a remainder.

1,3719

Greatest Common Factor

We found the factors 8319,3719 . The biggest common factor number is the GCF number.
So the greatest common factor 8319,3719 is 1.

Lets's calculate LCM of 457,953

Given numbers has no common factors except 1. So, there LCM is their product i.e 435521

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/435521

Therefore, the GCF of Fractions 8319/457,3719/953 is 1/435521

Least Common Multiple of 457,953 with GCF Formula

Least Common Multiple of 457,953 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 457,953 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(457,953) = 1

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

GCF(457,953) x common factors =1 x 1 = 1

LCM(457,953) = ( 457 × 953 ) / 1

LCM(457,953) = 435521 / 1

LCM(457,953) = 435521


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 8319/457, 3719/953

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 8319/457, 3719/953?

Answer: GCF of Numerators as per given numbers 8319/457, 3719/953 is

GCF of Numerators i.e. for 8319,3719 is 1

LCM of denominators i.e. for 457,953 is 435521.

Thus, GCF of Fractions is 1/435521.Finally, GCF of Fractions for 8319/457, 3719/953 is 1/435521.