Greatest Common Factor of 123/611, 4555/214

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 123/611, 4555/214

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 123/611,4555/214

Given fractions are 123/611,4555/214

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 123,4555

Greatest Common Factor of Numerators i.e. GCF of 123,4555 is 1 .

LCM of Denominators means LCM of 611,214 as per the given fractions.

LCM of 611,214 is 130754 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 123,4555

GCF of Fractions 123/611,4555/214 is 1/130754

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

Greatest Common Factor of 123,4555 By Matching Biggest Common Factor Method

Greatest Common Factor of 123,4555 By Matching Biggest Common Factor Method

Factors of 123

List of positive integer factors of 123 that divides 123 without a remainder.

1,3,41,123

Factors of 4555

List of positive integer factors of 4555 that divides 4555 without a remainder.

1,5,911,4555

Greatest Common Factor

We found the factors 123,4555 . The biggest common factor number is the GCF number.
So the greatest common factor 123,4555 is 1.

Lets's calculate LCM of 611,214

Given numbers has no common factors except 1. So, there LCM is their product i.e 130754

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/130754

Therefore, the GCF of Fractions 123/611,4555/214 is 1/130754

Least Common Multiple of 611,214 with GCF Formula

Least Common Multiple of 611,214 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 611,214 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(611,214) = 1

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

GCF(611,214) x common factors =1 x 1 = 1

LCM(611,214) = ( 611 × 214 ) / 1

LCM(611,214) = 130754 / 1

LCM(611,214) = 130754


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 123/611, 4555/214

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 123/611, 4555/214?

Answer: GCF of Numerators as per given numbers 123/611, 4555/214 is

GCF of Numerators i.e. for 123,4555 is 1

LCM of denominators i.e. for 611,214 is 130754.

Thus, GCF of Fractions is 1/130754.Finally, GCF of Fractions for 123/611, 4555/214 is 1/130754.