Greatest Common Factor of 727/596, 106/351, 965/451

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 727/596, 106/351, 965/451

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 727/596,106/351,965/451

Given fractions are 727/596,106/351,965/451

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 727,106,965

Greatest Common Factor of Numerators i.e. GCF of 727,106,965 is 1 .

LCM of Denominators means LCM of 596,351,451 as per the given fractions.

LCM of 596,351,451 is 94347396 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 727,106,965

GCF of Fractions 727/596,106/351,965/451 is 1/94347396

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

Greatest Common Factor of 727,106,965 By Matching Biggest Common Factor Method

Greatest Common Factor of 727,106,965 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 106

List of positive integer factors of 106 that divides 106 without a remainder.

1,2,53,106

Factors of 965

List of positive integer factors of 965 that divides 965 without a remainder.

1,5,193,965

Greatest Common Factor

We found the factors 727,106,965 . The biggest common factor number is the GCF number.
So the greatest common factor 727,106,965 is 1.

Lets's calculate LCM of 596,351,451

Given numbers has no common factors except 1. So, there LCM is their product i.e 94347396

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/94347396

Therefore, the GCF of Fractions 727/596,106/351,965/451 is 1/94347396

Least Common Multiple of 596,351,451 with GCF Formula

Least Common Multiple of 596,351,451 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 596,351,451 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(596,351,451) = 1

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

GCF(596,351,451) x common factors =1 x 1 = 1

LCM(596,351,451) = ( 596 × 351 × 451 ) / 1

LCM(596,351,451) = 94347396 / 1

LCM(596,351,451) = 94347396


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 727/596, 106/351, 965/451

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 727/596, 106/351, 965/451?

Answer: GCF of Numerators as per given numbers 727/596, 106/351, 965/451 is

GCF of Numerators i.e. for 727,106,965 is 1

LCM of denominators i.e. for 596,351,451 is 94347396.

Thus, GCF of Fractions is 1/94347396.Finally, GCF of Fractions for 727/596, 106/351, 965/451 is 1/94347396.