Greatest Common Factor of 220/55, 432/13, 451/512

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 220/55, 432/13, 451/512

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 220/55,432/13,451/512

Given fractions are 220/55,432/13,451/512

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 220,432,451

Greatest Common Factor of Numerators i.e. GCF of 220,432,451 is 1 .

LCM of Denominators means LCM of 55,13,512 as per the given fractions.

LCM of 55,13,512 is 366080 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 220,432,451

GCF of Fractions 220/55,432/13,451/512 is 1/366080

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

Greatest Common Factor of 220,432,451 By Matching Biggest Common Factor Method

Greatest Common Factor of 220,432,451 By Matching Biggest Common Factor Method

Factors of 220

List of positive integer factors of 220 that divides 220 without a remainder.

1,2,4,5,10,11,20,22,44,55,110,220

Factors of 432

List of positive integer factors of 432 that divides 432 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,27,36,48,54,72,108,144,216,432

Factors of 451

List of positive integer factors of 451 that divides 451 without a remainder.

1,11,41,451

Greatest Common Factor

We found the factors 220,432,451 . The biggest common factor number is the GCF number.
So the greatest common factor 220,432,451 is 1.

Lets's calculate LCM of 55,13,512

Given numbers has no common factors except 1. So, there LCM is their product i.e 366080

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/366080

Therefore, the GCF of Fractions 220/55,432/13,451/512 is 1/366080

Least Common Multiple of 55,13,512 with GCF Formula

Least Common Multiple of 55,13,512 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 55,13,512 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(55,13,512) = 1

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

GCF(55,13,512) x common factors =1 x 1 = 1

LCM(55,13,512) = ( 55 × 13 × 512 ) / 1

LCM(55,13,512) = 366080 / 1

LCM(55,13,512) = 366080


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 220/55, 432/13, 451/512

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 220/55, 432/13, 451/512?

Answer: GCF of Numerators as per given numbers 220/55, 432/13, 451/512 is

GCF of Numerators i.e. for 220,432,451 is 1

LCM of denominators i.e. for 55,13,512 is 366080.

Thus, GCF of Fractions is 1/366080.Finally, GCF of Fractions for 220/55, 432/13, 451/512 is 1/366080.