Greatest Common Factor of 466/58, 509/94, 678/296

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 466/58, 509/94, 678/296

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 466/58,509/94,678/296

Given fractions are 466/58,509/94,678/296

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 466,509,678

Greatest Common Factor of Numerators i.e. GCF of 466,509,678 is 1 .

LCM of Denominators means LCM of 58,94,296 as per the given fractions.

LCM of 58,94,296 is 403448 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 466,509,678

GCF of Fractions 466/58,509/94,678/296 is 1/403448

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

Greatest Common Factor of 466,509,678 By Matching Biggest Common Factor Method

Greatest Common Factor of 466,509,678 By Matching Biggest Common Factor Method

Factors of 466

List of positive integer factors of 466 that divides 466 without a remainder.

1,2,233,466

Factors of 509

List of positive integer factors of 509 that divides 509 without a remainder.

1,509

Factors of 678

List of positive integer factors of 678 that divides 678 without a remainder.

1,2,3,6,113,226,339,678

Greatest Common Factor

We found the factors 466,509,678 . The biggest common factor number is the GCF number.
So the greatest common factor 466,509,678 is 1.

Lets's calculate LCM of 58,94,296

2 58, 94, 296
29, 47, 148

∴ So the LCM of the given numbers is 2 x 29 x 47 x 148 = 403448

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/403448

Therefore, the GCF of Fractions 466/58,509/94,678/296 is 1/403448

Least Common Multiple of 58,94,296 with GCF Formula

Least Common Multiple of 58,94,296 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 58,94,296 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(58,94,296) = 2

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

GCF(58,94,296) x common factors =2 x 2 = 4

LCM(58,94,296) = ( 58 × 94 × 296 ) / 4

LCM(58,94,296) = 1613792 / 4

LCM(58,94,296) = 403448


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

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Frequently Asked Questions on Fractional GCF of 466/58, 509/94, 678/296

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 466/58, 509/94, 678/296?

Answer: GCF of Numerators as per given numbers 466/58, 509/94, 678/296 is

GCF of Numerators i.e. for 466,509,678 is 1

LCM of denominators i.e. for 58,94,296 is 403448.

Thus, GCF of Fractions is 1/403448.Finally, GCF of Fractions for 466/58, 509/94, 678/296 is 1/403448.