Greatest Common Factor of 2029/309, 7363/497

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2029/309, 7363/497

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 2029/309,7363/497

Given fractions are 2029/309,7363/497

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 2029,7363

Greatest Common Factor of Numerators i.e. GCF of 2029,7363 is 1 .

LCM of Denominators means LCM of 309,497 as per the given fractions.

LCM of 309,497 is 153573 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2029,7363

GCF of Fractions 2029/309,7363/497 is 1/153573

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

Greatest Common Factor of 2029,7363 By Matching Biggest Common Factor Method

Greatest Common Factor of 2029,7363 By Matching Biggest Common Factor Method

Factors of 2029

List of positive integer factors of 2029 that divides 2029 without a remainder.

1,2029

Factors of 7363

List of positive integer factors of 7363 that divides 7363 without a remainder.

1,37,199,7363

Greatest Common Factor

We found the factors 2029,7363 . The biggest common factor number is the GCF number.
So the greatest common factor 2029,7363 is 1.

Lets's calculate LCM of 309,497

Given numbers has no common factors except 1. So, there LCM is their product i.e 153573

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/153573

Therefore, the GCF of Fractions 2029/309,7363/497 is 1/153573

Least Common Multiple of 309,497 with GCF Formula

Least Common Multiple of 309,497 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 309,497 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(309,497) = 1

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

GCF(309,497) x common factors =1 x 1 = 1

LCM(309,497) = ( 309 × 497 ) / 1

LCM(309,497) = 153573 / 1

LCM(309,497) = 153573


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 2029/309, 7363/497

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 2029/309, 7363/497?

Answer: GCF of Numerators as per given numbers 2029/309, 7363/497 is

GCF of Numerators i.e. for 2029,7363 is 1

LCM of denominators i.e. for 309,497 is 153573.

Thus, GCF of Fractions is 1/153573.Finally, GCF of Fractions for 2029/309, 7363/497 is 1/153573.