Greatest Common Factor of 1369/64, 8101/723

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1369/64, 8101/723

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 1369/64,8101/723

Given fractions are 1369/64,8101/723

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 1369,8101

Greatest Common Factor of Numerators i.e. GCF of 1369,8101 is 1 .

LCM of Denominators means LCM of 64,723 as per the given fractions.

LCM of 64,723 is 46272 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1369,8101

GCF of Fractions 1369/64,8101/723 is 1/46272

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

Greatest Common Factor of 1369,8101 By Matching Biggest Common Factor Method

Greatest Common Factor of 1369,8101 By Matching Biggest Common Factor Method

Factors of 1369

List of positive integer factors of 1369 that divides 1369 without a remainder.

1,37,1369

Factors of 8101

List of positive integer factors of 8101 that divides 8101 without a remainder.

1,8101

Greatest Common Factor

We found the factors 1369,8101 . The biggest common factor number is the GCF number.
So the greatest common factor 1369,8101 is 1.

Lets's calculate LCM of 64,723

Given numbers has no common factors except 1. So, there LCM is their product i.e 46272

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/46272

Therefore, the GCF of Fractions 1369/64,8101/723 is 1/46272

Least Common Multiple of 64,723 with GCF Formula

Least Common Multiple of 64,723 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 64,723 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,723) = 1

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

GCF(64,723) x common factors =1 x 1 = 1

LCM(64,723) = ( 64 × 723 ) / 1

LCM(64,723) = 46272 / 1

LCM(64,723) = 46272


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 1369/64, 8101/723

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 1369/64, 8101/723?

Answer: GCF of Numerators as per given numbers 1369/64, 8101/723 is

GCF of Numerators i.e. for 1369,8101 is 1

LCM of denominators i.e. for 64,723 is 46272.

Thus, GCF of Fractions is 1/46272.Finally, GCF of Fractions for 1369/64, 8101/723 is 1/46272.