Greatest Common Factor of 7613/511, 9770/599

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7613/511, 9770/599

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 7613/511,9770/599

Given fractions are 7613/511,9770/599

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 7613,9770

Greatest Common Factor of Numerators i.e. GCF of 7613,9770 is 1 .

LCM of Denominators means LCM of 511,599 as per the given fractions.

LCM of 511,599 is 306089 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7613,9770

GCF of Fractions 7613/511,9770/599 is 1/306089

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

Greatest Common Factor of 7613,9770 By Matching Biggest Common Factor Method

Greatest Common Factor of 7613,9770 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 9770

List of positive integer factors of 9770 that divides 9770 without a remainder.

1,2,5,10,977,1954,4885,9770

Greatest Common Factor

We found the factors 7613,9770 . The biggest common factor number is the GCF number.
So the greatest common factor 7613,9770 is 1.

Lets's calculate LCM of 511,599

Given numbers has no common factors except 1. So, there LCM is their product i.e 306089

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/306089

Therefore, the GCF of Fractions 7613/511,9770/599 is 1/306089

Least Common Multiple of 511,599 with GCF Formula

Least Common Multiple of 511,599 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 511,599 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(511,599) = 1

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

GCF(511,599) x common factors =1 x 1 = 1

LCM(511,599) = ( 511 × 599 ) / 1

LCM(511,599) = 306089 / 1

LCM(511,599) = 306089


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 7613/511, 9770/599

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 7613/511, 9770/599?

Answer: GCF of Numerators as per given numbers 7613/511, 9770/599 is

GCF of Numerators i.e. for 7613,9770 is 1

LCM of denominators i.e. for 511,599 is 306089.

Thus, GCF of Fractions is 1/306089.Finally, GCF of Fractions for 7613/511, 9770/599 is 1/306089.