Greatest Common Factor of 722/18, 623/5245

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 722/18, 623/5245

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 722/18,623/5245

Given fractions are 722/18,623/5245

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 722,623

Greatest Common Factor of Numerators i.e. GCF of 722,623 is 1 .

LCM of Denominators means LCM of 18,5245 as per the given fractions.

LCM of 18,5245 is 94410 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 722,623

GCF of Fractions 722/18,623/5245 is 1/94410

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

Greatest Common Factor of 722,623 By Matching Biggest Common Factor Method

Greatest Common Factor of 722,623 By Matching Biggest Common Factor Method

Factors of 722

List of positive integer factors of 722 that divides 722 without a remainder.

1,2,19,38,361,722

Factors of 623

List of positive integer factors of 623 that divides 623 without a remainder.

1,7,89,623

Greatest Common Factor

We found the factors 722,623 . The biggest common factor number is the GCF number.
So the greatest common factor 722,623 is 1.

Lets's calculate LCM of 18,5245

Given numbers has no common factors except 1. So, there LCM is their product i.e 94410

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/94410

Therefore, the GCF of Fractions 722/18,623/5245 is 1/94410

Least Common Multiple of 18,5245 with GCF Formula

Least Common Multiple of 18,5245 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 18,5245 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(18,5245) = 1

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

GCF(18,5245) x common factors =1 x 1 = 1

LCM(18,5245) = ( 18 × 5245 ) / 1

LCM(18,5245) = 94410 / 1

LCM(18,5245) = 94410


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 722/18, 623/5245

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 722/18, 623/5245?

Answer: GCF of Numerators as per given numbers 722/18, 623/5245 is

GCF of Numerators i.e. for 722,623 is 1

LCM of denominators i.e. for 18,5245 is 94410.

Thus, GCF of Fractions is 1/94410.Finally, GCF of Fractions for 722/18, 623/5245 is 1/94410.