Greatest Common Factor of 4729/452, 9364/4508

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4729/452, 9364/4508

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 4729/452,9364/4508

Given fractions are 4729/452,9364/4508

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 4729,9364

Greatest Common Factor of Numerators i.e. GCF of 4729,9364 is 1 .

LCM of Denominators means LCM of 452,4508 as per the given fractions.

LCM of 452,4508 is 509404 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4729,9364

GCF of Fractions 4729/452,9364/4508 is 1/509404

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

Greatest Common Factor of 4729,9364 By Matching Biggest Common Factor Method

Greatest Common Factor of 4729,9364 By Matching Biggest Common Factor Method

Factors of 4729

List of positive integer factors of 4729 that divides 4729 without a remainder.

1,4729

Factors of 9364

List of positive integer factors of 9364 that divides 9364 without a remainder.

1,2,4,2341,4682,9364

Greatest Common Factor

We found the factors 4729,9364 . The biggest common factor number is the GCF number.
So the greatest common factor 4729,9364 is 1.

Lets's calculate LCM of 452,4508

2 452, 4508
2 226, 2254
113, 1127

∴ So the LCM of the given numbers is 2 x 2 x 113 x 1127 = 509404

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/509404

Therefore, the GCF of Fractions 4729/452,9364/4508 is 1/509404

Least Common Multiple of 452,4508 with GCF Formula

Least Common Multiple of 452,4508 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 452,4508 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(452,4508) = 4

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

GCF(452,4508) x common factors =4 x 1 = 4

LCM(452,4508) = ( 452 × 4508 ) / 4

LCM(452,4508) = 2037616 / 4

LCM(452,4508) = 509404


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 4729/452, 9364/4508

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 4729/452, 9364/4508?

Answer: GCF of Numerators as per given numbers 4729/452, 9364/4508 is

GCF of Numerators i.e. for 4729,9364 is 1

LCM of denominators i.e. for 452,4508 is 509404.

Thus, GCF of Fractions is 1/509404.Finally, GCF of Fractions for 4729/452, 9364/4508 is 1/509404.