Greatest Common Factor of 68/473, 332/864

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 68/473, 332/864

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 68/473,332/864

Given fractions are 68/473,332/864

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 68,332

Greatest Common Factor of Numerators i.e. GCF of 68,332 is 4 .

LCM of Denominators means LCM of 473,864 as per the given fractions.

LCM of 473,864 is 408672 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 68,332

GCF of Fractions 68/473,332/864 is 4/408672

2 68, 332
2 34, 166
17, 83

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 68,332 By Matching Biggest Common Factor Method

Greatest Common Factor of 68,332 By Matching Biggest Common Factor Method

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 332

List of positive integer factors of 332 that divides 332 without a remainder.

1,2,4,83,166,332

Greatest Common Factor

We found the factors 68,332 . The biggest common factor number is the GCF number.
So the greatest common factor 68,332 is 4.

Lets's calculate LCM of 473,864

Given numbers has no common factors except 1. So, there LCM is their product i.e 408672

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/408672

Therefore, the GCF of Fractions 68/473,332/864 is 4/408672

Least Common Multiple of 473,864 with GCF Formula

Least Common Multiple of 473,864 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 473,864 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(473,864) = 1

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

GCF(473,864) x common factors =1 x 1 = 1

LCM(473,864) = ( 473 × 864 ) / 1

LCM(473,864) = 408672 / 1

LCM(473,864) = 408672


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 68/473, 332/864

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 68/473, 332/864?

Answer: GCF of Numerators as per given numbers 68/473, 332/864 is

GCF of Numerators i.e. for 68,332 is 4

LCM of denominators i.e. for 473,864 is 408672.

Thus, GCF of Fractions is 4/408672.Finally, GCF of Fractions for 68/473, 332/864 is 4/408672.