Greatest Common Factor of 4053/144, 5323/545

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4053/144, 5323/545

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 4053/144,5323/545

Given fractions are 4053/144,5323/545

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 4053,5323

Greatest Common Factor of Numerators i.e. GCF of 4053,5323 is 1 .

LCM of Denominators means LCM of 144,545 as per the given fractions.

LCM of 144,545 is 78480 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4053,5323

GCF of Fractions 4053/144,5323/545 is 1/78480

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

Greatest Common Factor of 4053,5323 By Matching Biggest Common Factor Method

Greatest Common Factor of 4053,5323 By Matching Biggest Common Factor Method

Factors of 4053

List of positive integer factors of 4053 that divides 4053 without a remainder.

1,3,7,21,193,579,1351,4053

Factors of 5323

List of positive integer factors of 5323 that divides 5323 without a remainder.

1,5323

Greatest Common Factor

We found the factors 4053,5323 . The biggest common factor number is the GCF number.
So the greatest common factor 4053,5323 is 1.

Lets's calculate LCM of 144,545

Given numbers has no common factors except 1. So, there LCM is their product i.e 78480

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/78480

Therefore, the GCF of Fractions 4053/144,5323/545 is 1/78480

Least Common Multiple of 144,545 with GCF Formula

Least Common Multiple of 144,545 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 144,545 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(144,545) = 1

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

GCF(144,545) x common factors =1 x 1 = 1

LCM(144,545) = ( 144 × 545 ) / 1

LCM(144,545) = 78480 / 1

LCM(144,545) = 78480


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 4053/144, 5323/545

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 4053/144, 5323/545?

Answer: GCF of Numerators as per given numbers 4053/144, 5323/545 is

GCF of Numerators i.e. for 4053,5323 is 1

LCM of denominators i.e. for 144,545 is 78480.

Thus, GCF of Fractions is 1/78480.Finally, GCF of Fractions for 4053/144, 5323/545 is 1/78480.