Greatest Common Factor of 467/483, 968/568, 940/822

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 467/483, 968/568, 940/822

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 467/483,968/568,940/822

Given fractions are 467/483,968/568,940/822

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 467,968,940

Greatest Common Factor of Numerators i.e. GCF of 467,968,940 is 1 .

LCM of Denominators means LCM of 483,568,822 as per the given fractions.

LCM of 483,568,822 is 37585128 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 467,968,940

GCF of Fractions 467/483,968/568,940/822 is 1/37585128

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

Greatest Common Factor of 467,968,940 By Matching Biggest Common Factor Method

Greatest Common Factor of 467,968,940 By Matching Biggest Common Factor Method

Factors of 467

List of positive integer factors of 467 that divides 467 without a remainder.

1,467

Factors of 968

List of positive integer factors of 968 that divides 968 without a remainder.

1,2,4,8,11,22,44,88,121,242,484,968

Factors of 940

List of positive integer factors of 940 that divides 940 without a remainder.

1,2,4,5,10,20,47,94,188,235,470,940

Greatest Common Factor

We found the factors 467,968,940 . The biggest common factor number is the GCF number.
So the greatest common factor 467,968,940 is 1.

Lets's calculate LCM of 483,568,822

2 483, 568, 822
3 483, 284, 411
161, 284, 137

∴ So the LCM of the given numbers is 2 x 3 x 161 x 284 x 137 = 37585128

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/37585128

Therefore, the GCF of Fractions 467/483,968/568,940/822 is 1/37585128

Least Common Multiple of 483,568,822 with GCF Formula

Least Common Multiple of 483,568,822 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 483,568,822 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(483,568,822) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(483,568,822) x common factors =1 x 6 = 6

LCM(483,568,822) = ( 483 × 568 × 822 ) / 6

LCM(483,568,822) = 225510768 / 6

LCM(483,568,822) = 37585128


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 467/483, 968/568, 940/822

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 467/483, 968/568, 940/822?

Answer: GCF of Numerators as per given numbers 467/483, 968/568, 940/822 is

GCF of Numerators i.e. for 467,968,940 is 1

LCM of denominators i.e. for 483,568,822 is 37585128.

Thus, GCF of Fractions is 1/37585128.Finally, GCF of Fractions for 467/483, 968/568, 940/822 is 1/37585128.