Greatest Common Factor of 723/312, 220/459, 668/864

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 723/312, 220/459, 668/864

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 723/312,220/459,668/864

Given fractions are 723/312,220/459,668/864

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 723,220,668

Greatest Common Factor of Numerators i.e. GCF of 723,220,668 is 1 .

LCM of Denominators means LCM of 312,459,864 as per the given fractions.

LCM of 312,459,864 is 190944 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 723,220,668

GCF of Fractions 723/312,220/459,668/864 is 1/190944

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

Greatest Common Factor of 723,220,668 By Matching Biggest Common Factor Method

Greatest Common Factor of 723,220,668 By Matching Biggest Common Factor Method

Factors of 723

List of positive integer factors of 723 that divides 723 without a remainder.

1,3,241,723

Factors of 220

List of positive integer factors of 220 that divides 220 without a remainder.

1,2,4,5,10,11,20,22,44,55,110,220

Factors of 668

List of positive integer factors of 668 that divides 668 without a remainder.

1,2,4,167,334,668

Greatest Common Factor

We found the factors 723,220,668 . The biggest common factor number is the GCF number.
So the greatest common factor 723,220,668 is 1.

Lets's calculate LCM of 312,459,864

2 312, 459, 864
2 156, 459, 432
2 78, 459, 216
3 39, 459, 108
3 13, 153, 36
3 13, 51, 12
13, 17, 4

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 3 x 3 x 13 x 17 x 4 = 190944

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/190944

Therefore, the GCF of Fractions 723/312,220/459,668/864 is 1/190944

Least Common Multiple of 312,459,864 with GCF Formula

Least Common Multiple of 312,459,864 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 312,459,864 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(312,459,864) = 3

common factors(in case of two or more numbers have common factors) = 216

GCF(312,459,864) x common factors =3 x 216 = 648

LCM(312,459,864) = ( 312 × 459 × 864 ) / 648

LCM(312,459,864) = 123731712 / 648

LCM(312,459,864) = 190944


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 723/312, 220/459, 668/864

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 723/312, 220/459, 668/864?

Answer: GCF of Numerators as per given numbers 723/312, 220/459, 668/864 is

GCF of Numerators i.e. for 723,220,668 is 1

LCM of denominators i.e. for 312,459,864 is 190944.

Thus, GCF of Fractions is 1/190944.Finally, GCF of Fractions for 723/312, 220/459, 668/864 is 1/190944.