Greatest Common Factor of 299/637, 338/577

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 299/637, 338/577

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 299/637,338/577

Given fractions are 299/637,338/577

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 299,338

Greatest Common Factor of Numerators i.e. GCF of 299,338 is 13 .

LCM of Denominators means LCM of 637,577 as per the given fractions.

LCM of 637,577 is 367549 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 299,338

GCF of Fractions 299/637,338/577 is 13/367549

13 299, 338
23, 26

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 299,338 By Matching Biggest Common Factor Method

Greatest Common Factor of 299,338 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 338

List of positive integer factors of 338 that divides 338 without a remainder.

1,2,13,26,169,338

Greatest Common Factor

We found the factors 299,338 . The biggest common factor number is the GCF number.
So the greatest common factor 299,338 is 13.

Lets's calculate LCM of 637,577

Given numbers has no common factors except 1. So, there LCM is their product i.e 367549

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/367549

Therefore, the GCF of Fractions 299/637,338/577 is 13/367549

Least Common Multiple of 637,577 with GCF Formula

Least Common Multiple of 637,577 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 637,577 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(637,577) = 1

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

GCF(637,577) x common factors =1 x 1 = 1

LCM(637,577) = ( 637 × 577 ) / 1

LCM(637,577) = 367549 / 1

LCM(637,577) = 367549


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 299/637, 338/577

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 299/637, 338/577?

Answer: GCF of Numerators as per given numbers 299/637, 338/577 is

GCF of Numerators i.e. for 299,338 is 13

LCM of denominators i.e. for 637,577 is 367549.

Thus, GCF of Fractions is 13/367549.Finally, GCF of Fractions for 299/637, 338/577 is 13/367549.