Greatest Common Factor of 299/36, 4345/125

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 299/36, 4345/125

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 299/36,4345/125

Given fractions are 299/36,4345/125

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 299,4345

Greatest Common Factor of Numerators i.e. GCF of 299,4345 is 1 .

LCM of Denominators means LCM of 36,125 as per the given fractions.

LCM of 36,125 is 4500 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 299,4345

GCF of Fractions 299/36,4345/125 is 1/4500

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

Greatest Common Factor of 299,4345 By Matching Biggest Common Factor Method

Greatest Common Factor of 299,4345 By Matching Biggest Common Factor Method

Factors of 299

List of positive integer factors of 299 that divides 299 without a remainder.

1,13,23,299

Factors of 4345

List of positive integer factors of 4345 that divides 4345 without a remainder.

1,5,11,55,79,395,869,4345

Greatest Common Factor

We found the factors 299,4345 . The biggest common factor number is the GCF number.
So the greatest common factor 299,4345 is 1.

Lets's calculate LCM of 36,125

Given numbers has no common factors except 1. So, there LCM is their product i.e 4500

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4500

Therefore, the GCF of Fractions 299/36,4345/125 is 1/4500

Least Common Multiple of 36,125 with GCF Formula

Least Common Multiple of 36,125 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 36,125 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,125) = 1

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

GCF(36,125) x common factors =1 x 1 = 1

LCM(36,125) = ( 36 × 125 ) / 1

LCM(36,125) = 4500 / 1

LCM(36,125) = 4500


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 299/36, 4345/125

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 299/36, 4345/125?

Answer: GCF of Numerators as per given numbers 299/36, 4345/125 is

GCF of Numerators i.e. for 299,4345 is 1

LCM of denominators i.e. for 36,125 is 4500.

Thus, GCF of Fractions is 1/4500.Finally, GCF of Fractions for 299/36, 4345/125 is 1/4500.