Greatest Common Factor of 7613/798, 1577/647

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7613/798, 1577/647

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 7613/798,1577/647

Given fractions are 7613/798,1577/647

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 7613,1577

Greatest Common Factor of Numerators i.e. GCF of 7613,1577 is 1 .

LCM of Denominators means LCM of 798,647 as per the given fractions.

LCM of 798,647 is 516306 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7613,1577

GCF of Fractions 7613/798,1577/647 is 1/516306

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

Greatest Common Factor of 7613,1577 By Matching Biggest Common Factor Method

Greatest Common Factor of 7613,1577 By Matching Biggest Common Factor Method

Factors of 7613

List of positive integer factors of 7613 that divides 7613 without a remainder.

1,23,331,7613

Factors of 1577

List of positive integer factors of 1577 that divides 1577 without a remainder.

1,19,83,1577

Greatest Common Factor

We found the factors 7613,1577 . The biggest common factor number is the GCF number.
So the greatest common factor 7613,1577 is 1.

Lets's calculate LCM of 798,647

Given numbers has no common factors except 1. So, there LCM is their product i.e 516306

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/516306

Therefore, the GCF of Fractions 7613/798,1577/647 is 1/516306

Least Common Multiple of 798,647 with GCF Formula

Least Common Multiple of 798,647 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 798,647 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(798,647) = 1

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

GCF(798,647) x common factors =1 x 1 = 1

LCM(798,647) = ( 798 × 647 ) / 1

LCM(798,647) = 516306 / 1

LCM(798,647) = 516306


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 7613/798, 1577/647

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 7613/798, 1577/647?

Answer: GCF of Numerators as per given numbers 7613/798, 1577/647 is

GCF of Numerators i.e. for 7613,1577 is 1

LCM of denominators i.e. for 798,647 is 516306.

Thus, GCF of Fractions is 1/516306.Finally, GCF of Fractions for 7613/798, 1577/647 is 1/516306.