Greatest Common Factor of 692/7300, 618/9413

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 692/7300, 618/9413

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 692/7300,618/9413

Given fractions are 692/7300,618/9413

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 692,618

Greatest Common Factor of Numerators i.e. GCF of 692,618 is 2 .

LCM of Denominators means LCM of 7300,9413 as per the given fractions.

LCM of 7300,9413 is 68714900 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 692,618

GCF of Fractions 692/7300,618/9413 is 2/68714900

2 692, 618
346, 309

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 692,618 By Matching Biggest Common Factor Method

Greatest Common Factor of 692,618 By Matching Biggest Common Factor Method

Factors of 692

List of positive integer factors of 692 that divides 692 without a remainder.

1,2,4,173,346,692

Factors of 618

List of positive integer factors of 618 that divides 618 without a remainder.

1,2,3,6,103,206,309,618

Greatest Common Factor

We found the factors 692,618 . The biggest common factor number is the GCF number.
So the greatest common factor 692,618 is 2.

Lets's calculate LCM of 7300,9413

Given numbers has no common factors except 1. So, there LCM is their product i.e 68714900

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/68714900

Therefore, the GCF of Fractions 692/7300,618/9413 is 2/68714900

Least Common Multiple of 7300,9413 with GCF Formula

Least Common Multiple of 7300,9413 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 7300,9413 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7300,9413) = 1

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

GCF(7300,9413) x common factors =1 x 1 = 1

LCM(7300,9413) = ( 7300 × 9413 ) / 1

LCM(7300,9413) = 68714900 / 1

LCM(7300,9413) = 68714900


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 692/7300, 618/9413

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 692/7300, 618/9413?

Answer: GCF of Numerators as per given numbers 692/7300, 618/9413 is

GCF of Numerators i.e. for 692,618 is 2

LCM of denominators i.e. for 7300,9413 is 68714900.

Thus, GCF of Fractions is 2/68714900.Finally, GCF of Fractions for 692/7300, 618/9413 is 2/68714900.