Greatest Common Factor of 4321/423, 8164/507

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4321/423, 8164/507

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 4321/423,8164/507

Given fractions are 4321/423,8164/507

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 4321,8164

Greatest Common Factor of Numerators i.e. GCF of 4321,8164 is 1 .

LCM of Denominators means LCM of 423,507 as per the given fractions.

LCM of 423,507 is 71487 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4321,8164

GCF of Fractions 4321/423,8164/507 is 1/71487

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

Greatest Common Factor of 4321,8164 By Matching Biggest Common Factor Method

Greatest Common Factor of 4321,8164 By Matching Biggest Common Factor Method

Factors of 4321

List of positive integer factors of 4321 that divides 4321 without a remainder.

1,29,149,4321

Factors of 8164

List of positive integer factors of 8164 that divides 8164 without a remainder.

1,2,4,13,26,52,157,314,628,2041,4082,8164

Greatest Common Factor

We found the factors 4321,8164 . The biggest common factor number is the GCF number.
So the greatest common factor 4321,8164 is 1.

Lets's calculate LCM of 423,507

3 423, 507
141, 169

∴ So the LCM of the given numbers is 3 x 141 x 169 = 71487

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/71487

Therefore, the GCF of Fractions 4321/423,8164/507 is 1/71487

Least Common Multiple of 423,507 with GCF Formula

Least Common Multiple of 423,507 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 423,507 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(423,507) = 3

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

GCF(423,507) x common factors =3 x 1 = 3

LCM(423,507) = ( 423 × 507 ) / 3

LCM(423,507) = 214461 / 3

LCM(423,507) = 71487


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 4321/423, 8164/507

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 4321/423, 8164/507?

Answer: GCF of Numerators as per given numbers 4321/423, 8164/507 is

GCF of Numerators i.e. for 4321,8164 is 1

LCM of denominators i.e. for 423,507 is 71487.

Thus, GCF of Fractions is 1/71487.Finally, GCF of Fractions for 4321/423, 8164/507 is 1/71487.