Greatest Common Factor of 73/364, 122/683

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 73/364, 122/683

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 73/364,122/683

Given fractions are 73/364,122/683

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 73,122

Greatest Common Factor of Numerators i.e. GCF of 73,122 is 1 .

LCM of Denominators means LCM of 364,683 as per the given fractions.

LCM of 364,683 is 248612 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 73,122

GCF of Fractions 73/364,122/683 is 1/248612

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

Greatest Common Factor of 73,122 By Matching Biggest Common Factor Method

Greatest Common Factor of 73,122 By Matching Biggest Common Factor Method

Factors of 73

List of positive integer factors of 73 that divides 73 without a remainder.

1,73

Factors of 122

List of positive integer factors of 122 that divides 122 without a remainder.

1,2,61,122

Greatest Common Factor

We found the factors 73,122 . The biggest common factor number is the GCF number.
So the greatest common factor 73,122 is 1.

Lets's calculate LCM of 364,683

Given numbers has no common factors except 1. So, there LCM is their product i.e 248612

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/248612

Therefore, the GCF of Fractions 73/364,122/683 is 1/248612

Least Common Multiple of 364,683 with GCF Formula

Least Common Multiple of 364,683 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 364,683 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(364,683) = 1

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

GCF(364,683) x common factors =1 x 1 = 1

LCM(364,683) = ( 364 × 683 ) / 1

LCM(364,683) = 248612 / 1

LCM(364,683) = 248612


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 73/364, 122/683

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 73/364, 122/683?

Answer: GCF of Numerators as per given numbers 73/364, 122/683 is

GCF of Numerators i.e. for 73,122 is 1

LCM of denominators i.e. for 364,683 is 248612.

Thus, GCF of Fractions is 1/248612.Finally, GCF of Fractions for 73/364, 122/683 is 1/248612.