Greatest Common Factor of 727/769, 645/414

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 727/769, 645/414

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 727/769,645/414

Given fractions are 727/769,645/414

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 727,645

Greatest Common Factor of Numerators i.e. GCF of 727,645 is 1 .

LCM of Denominators means LCM of 769,414 as per the given fractions.

LCM of 769,414 is 318366 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 727,645

GCF of Fractions 727/769,645/414 is 1/318366

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

Greatest Common Factor of 727,645 By Matching Biggest Common Factor Method

Greatest Common Factor of 727,645 By Matching Biggest Common Factor Method

Factors of 727

List of positive integer factors of 727 that divides 727 without a remainder.

1,727

Factors of 645

List of positive integer factors of 645 that divides 645 without a remainder.

1,3,5,15,43,129,215,645

Greatest Common Factor

We found the factors 727,645 . The biggest common factor number is the GCF number.
So the greatest common factor 727,645 is 1.

Lets's calculate LCM of 769,414

Given numbers has no common factors except 1. So, there LCM is their product i.e 318366

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/318366

Therefore, the GCF of Fractions 727/769,645/414 is 1/318366

Least Common Multiple of 769,414 with GCF Formula

Least Common Multiple of 769,414 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 769,414 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(769,414) = 1

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

GCF(769,414) x common factors =1 x 1 = 1

LCM(769,414) = ( 769 × 414 ) / 1

LCM(769,414) = 318366 / 1

LCM(769,414) = 318366


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 727/769, 645/414

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 727/769, 645/414?

Answer: GCF of Numerators as per given numbers 727/769, 645/414 is

GCF of Numerators i.e. for 727,645 is 1

LCM of denominators i.e. for 769,414 is 318366.

Thus, GCF of Fractions is 1/318366.Finally, GCF of Fractions for 727/769, 645/414 is 1/318366.