Greatest Common Factor of 467/468, 828/464

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 467/468, 828/464

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 467/468,828/464

Given fractions are 467/468,828/464

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 467,828

Greatest Common Factor of Numerators i.e. GCF of 467,828 is 1 .

LCM of Denominators means LCM of 468,464 as per the given fractions.

LCM of 468,464 is 54288 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 467,828

GCF of Fractions 467/468,828/464 is 1/54288

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

Greatest Common Factor of 467,828 By Matching Biggest Common Factor Method

Greatest Common Factor of 467,828 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 828

List of positive integer factors of 828 that divides 828 without a remainder.

1,2,3,4,6,9,12,18,23,36,46,69,92,138,207,276,414,828

Greatest Common Factor

We found the factors 467,828 . The biggest common factor number is the GCF number.
So the greatest common factor 467,828 is 1.

Lets's calculate LCM of 468,464

2 468, 464
2 234, 232
117, 116

∴ So the LCM of the given numbers is 2 x 2 x 117 x 116 = 54288

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/54288

Therefore, the GCF of Fractions 467/468,828/464 is 1/54288

Least Common Multiple of 468,464 with GCF Formula

Least Common Multiple of 468,464 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 468,464 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(468,464) = 4

common factors(in case of two or more numbers have common factors) = 1

GCF(468,464) x common factors =4 x 1 = 4

LCM(468,464) = ( 468 × 464 ) / 4

LCM(468,464) = 217152 / 4

LCM(468,464) = 54288


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 467/468, 828/464

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 467/468, 828/464?

Answer: GCF of Numerators as per given numbers 467/468, 828/464 is

GCF of Numerators i.e. for 467,828 is 1

LCM of denominators i.e. for 468,464 is 54288.

Thus, GCF of Fractions is 1/54288.Finally, GCF of Fractions for 467/468, 828/464 is 1/54288.