Greatest Common Factor of 3029/82, 7813/655

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3029/82, 7813/655

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 3029/82,7813/655

Given fractions are 3029/82,7813/655

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 3029,7813

Greatest Common Factor of Numerators i.e. GCF of 3029,7813 is 13 .

LCM of Denominators means LCM of 82,655 as per the given fractions.

LCM of 82,655 is 53710 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3029,7813

GCF of Fractions 3029/82,7813/655 is 13/53710

13 3029, 7813
233, 601

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

Greatest Common Factor of 3029,7813 By Matching Biggest Common Factor Method

Greatest Common Factor of 3029,7813 By Matching Biggest Common Factor Method

Factors of 3029

List of positive integer factors of 3029 that divides 3029 without a remainder.

1,13,233,3029

Factors of 7813

List of positive integer factors of 7813 that divides 7813 without a remainder.

1,13,601,7813

Greatest Common Factor

We found the factors 3029,7813 . The biggest common factor number is the GCF number.
So the greatest common factor 3029,7813 is 13.

Lets's calculate LCM of 82,655

Given numbers has no common factors except 1. So, there LCM is their product i.e 53710

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/53710

Therefore, the GCF of Fractions 3029/82,7813/655 is 13/53710

Least Common Multiple of 82,655 with GCF Formula

Least Common Multiple of 82,655 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 82,655 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,655) = 1

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

GCF(82,655) x common factors =1 x 1 = 1

LCM(82,655) = ( 82 × 655 ) / 1

LCM(82,655) = 53710 / 1

LCM(82,655) = 53710


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 3029/82, 7813/655

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 3029/82, 7813/655?

Answer: GCF of Numerators as per given numbers 3029/82, 7813/655 is

GCF of Numerators i.e. for 3029,7813 is 13

LCM of denominators i.e. for 82,655 is 53710.

Thus, GCF of Fractions is 13/53710.Finally, GCF of Fractions for 3029/82, 7813/655 is 13/53710.