Greatest Common Factor of 4709/46, 8511/189

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4709/46, 8511/189

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 4709/46,8511/189

Given fractions are 4709/46,8511/189

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 4709,8511

Greatest Common Factor of Numerators i.e. GCF of 4709,8511 is 1 .

LCM of Denominators means LCM of 46,189 as per the given fractions.

LCM of 46,189 is 8694 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4709,8511

GCF of Fractions 4709/46,8511/189 is 1/8694

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

Greatest Common Factor of 4709,8511 By Matching Biggest Common Factor Method

Greatest Common Factor of 4709,8511 By Matching Biggest Common Factor Method

Factors of 4709

List of positive integer factors of 4709 that divides 4709 without a remainder.

1,17,277,4709

Factors of 8511

List of positive integer factors of 8511 that divides 8511 without a remainder.

1,3,2837,8511

Greatest Common Factor

We found the factors 4709,8511 . The biggest common factor number is the GCF number.
So the greatest common factor 4709,8511 is 1.

Lets's calculate LCM of 46,189

Given numbers has no common factors except 1. So, there LCM is their product i.e 8694

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8694

Therefore, the GCF of Fractions 4709/46,8511/189 is 1/8694

Least Common Multiple of 46,189 with GCF Formula

Least Common Multiple of 46,189 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 46,189 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(46,189) = 1

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

GCF(46,189) x common factors =1 x 1 = 1

LCM(46,189) = ( 46 × 189 ) / 1

LCM(46,189) = 8694 / 1

LCM(46,189) = 8694


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 4709/46, 8511/189

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 4709/46, 8511/189?

Answer: GCF of Numerators as per given numbers 4709/46, 8511/189 is

GCF of Numerators i.e. for 4709,8511 is 1

LCM of denominators i.e. for 46,189 is 8694.

Thus, GCF of Fractions is 1/8694.Finally, GCF of Fractions for 4709/46, 8511/189 is 1/8694.