Greatest Common Factor of 483/146, 790/467, 358/782

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 483/146, 790/467, 358/782

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 483/146,790/467,358/782

Given fractions are 483/146,790/467,358/782

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 483,790,358

Greatest Common Factor of Numerators i.e. GCF of 483,790,358 is 1 .

LCM of Denominators means LCM of 146,467,782 as per the given fractions.

LCM of 146,467,782 is 26659162 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 483,790,358

GCF of Fractions 483/146,790/467,358/782 is 1/26659162

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

Greatest Common Factor of 483,790,358 By Matching Biggest Common Factor Method

Greatest Common Factor of 483,790,358 By Matching Biggest Common Factor Method

Factors of 483

List of positive integer factors of 483 that divides 483 without a remainder.

1,3,7,21,23,69,161,483

Factors of 790

List of positive integer factors of 790 that divides 790 without a remainder.

1,2,5,10,79,158,395,790

Factors of 358

List of positive integer factors of 358 that divides 358 without a remainder.

1,2,179,358

Greatest Common Factor

We found the factors 483,790,358 . The biggest common factor number is the GCF number.
So the greatest common factor 483,790,358 is 1.

Lets's calculate LCM of 146,467,782

2 146, 467, 782
73, 467, 391

∴ So the LCM of the given numbers is 2 x 73 x 467 x 391 = 26659162

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/26659162

Therefore, the GCF of Fractions 483/146,790/467,358/782 is 1/26659162

Least Common Multiple of 146,467,782 with GCF Formula

Least Common Multiple of 146,467,782 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 146,467,782 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(146,467,782) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(146,467,782) x common factors =1 x 2 = 2

LCM(146,467,782) = ( 146 × 467 × 782 ) / 2

LCM(146,467,782) = 53318324 / 2

LCM(146,467,782) = 26659162


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 483/146, 790/467, 358/782

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 483/146, 790/467, 358/782?

Answer: GCF of Numerators as per given numbers 483/146, 790/467, 358/782 is

GCF of Numerators i.e. for 483,790,358 is 1

LCM of denominators i.e. for 146,467,782 is 26659162.

Thus, GCF of Fractions is 1/26659162.Finally, GCF of Fractions for 483/146, 790/467, 358/782 is 1/26659162.