Greatest Common Factor of 660/796, 736/455, 589/671

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 660/796, 736/455, 589/671

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 660/796,736/455,589/671

Given fractions are 660/796,736/455,589/671

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 660,736,589

Greatest Common Factor of Numerators i.e. GCF of 660,736,589 is 1 .

LCM of Denominators means LCM of 796,455,671 as per the given fractions.

LCM of 796,455,671 is 243022780 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 660,736,589

GCF of Fractions 660/796,736/455,589/671 is 1/243022780

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

Greatest Common Factor of 660,736,589 By Matching Biggest Common Factor Method

Greatest Common Factor of 660,736,589 By Matching Biggest Common Factor Method

Factors of 660

List of positive integer factors of 660 that divides 660 without a remainder.

1,2,3,4,5,6,10,11,12,15,20,22,30,33,44,55,60,66,110,132,165,220,330,660

Factors of 736

List of positive integer factors of 736 that divides 736 without a remainder.

1,2,4,8,16,23,32,46,92,184,368,736

Factors of 589

List of positive integer factors of 589 that divides 589 without a remainder.

1,19,31,589

Greatest Common Factor

We found the factors 660,736,589 . The biggest common factor number is the GCF number.
So the greatest common factor 660,736,589 is 1.

Lets's calculate LCM of 796,455,671

Given numbers has no common factors except 1. So, there LCM is their product i.e 243022780

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/243022780

Therefore, the GCF of Fractions 660/796,736/455,589/671 is 1/243022780

Least Common Multiple of 796,455,671 with GCF Formula

Least Common Multiple of 796,455,671 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 796,455,671 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(796,455,671) = 1

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

GCF(796,455,671) x common factors =1 x 1 = 1

LCM(796,455,671) = ( 796 × 455 × 671 ) / 1

LCM(796,455,671) = 243022780 / 1

LCM(796,455,671) = 243022780


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 660/796, 736/455, 589/671

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 660/796, 736/455, 589/671?

Answer: GCF of Numerators as per given numbers 660/796, 736/455, 589/671 is

GCF of Numerators i.e. for 660,736,589 is 1

LCM of denominators i.e. for 796,455,671 is 243022780.

Thus, GCF of Fractions is 1/243022780.Finally, GCF of Fractions for 660/796, 736/455, 589/671 is 1/243022780.