Greatest Common Factor of 4/10, 83/50, 82/464, 318/555

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4/10, 83/50, 82/464, 318/555

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 4/10,83/50,82/464,318/555

Given fractions are 4/10,83/50,82/464,318/555

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 4,83,82,318

Greatest Common Factor of Numerators i.e. GCF of 4,83,82,318 is 1 .

LCM of Denominators means LCM of 10,50,464,555 as per the given fractions.

LCM of 10,50,464,555 is 1287600 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4,83,82,318

GCF of Fractions 4/10,83/50,82/464,318/555 is 1/1287600

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

Greatest Common Factor of 4,83,82,318 By Matching Biggest Common Factor Method

Greatest Common Factor of 4,83,82,318 By Matching Biggest Common Factor Method

Factors of 4

List of positive integer factors of 4 that divides 4 without a remainder.

1,2,4

Factors of 83

List of positive integer factors of 83 that divides 83 without a remainder.

1,83

Factors of 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Factors of 318

List of positive integer factors of 318 that divides 318 without a remainder.

1,2,3,6,53,106,159,318

Greatest Common Factor

We found the factors 4,83,82,318 . The biggest common factor number is the GCF number.
So the greatest common factor 4,83,82,318 is 1.

Lets's calculate LCM of 10,50,464,555

2 10, 50, 464, 555
5 5, 25, 232, 555
1, 5, 232, 111

∴ So the LCM of the given numbers is 2 x 5 x 1 x 5 x 232 x 111 = 1287600

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1287600

Therefore, the GCF of Fractions 4/10,83/50,82/464,318/555 is 1/1287600

Least Common Multiple of 10,50,464,555 with GCF Formula

Least Common Multiple of 10,50,464,555 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 10,50,464,555 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(10,50,464,555) = 1

common factors(in case of two or more numbers have common factors) = 100

GCF(10,50,464,555) x common factors =1 x 100 = 100

LCM(10,50,464,555) = ( 10 × 50 × 464 × 555 ) / 100

LCM(10,50,464,555) = 128760000 / 100

LCM(10,50,464,555) = 1287600


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 4/10, 83/50, 82/464, 318/555

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 4/10, 83/50, 82/464, 318/555?

Answer: GCF of Numerators as per given numbers 4/10, 83/50, 82/464, 318/555 is

GCF of Numerators i.e. for 4,83,82,318 is 1

LCM of denominators i.e. for 10,50,464,555 is 1287600.

Thus, GCF of Fractions is 1/1287600.Finally, GCF of Fractions for 4/10, 83/50, 82/464, 318/555 is 1/1287600.