Greatest Common Factor of 220/19, 428/51, 530/225

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 220/19, 428/51, 530/225

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 220/19,428/51,530/225

Given fractions are 220/19,428/51,530/225

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 220,428,530

Greatest Common Factor of Numerators i.e. GCF of 220,428,530 is 2 .

LCM of Denominators means LCM of 19,51,225 as per the given fractions.

LCM of 19,51,225 is 72675 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 220,428,530

GCF of Fractions 220/19,428/51,530/225 is 2/72675

2 220, 428, 530
110, 214, 265

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

Greatest Common Factor of 220,428,530 By Matching Biggest Common Factor Method

Greatest Common Factor of 220,428,530 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 428

List of positive integer factors of 428 that divides 428 without a remainder.

1,2,4,107,214,428

Factors of 530

List of positive integer factors of 530 that divides 530 without a remainder.

1,2,5,10,53,106,265,530

Greatest Common Factor

We found the factors 220,428,530 . The biggest common factor number is the GCF number.
So the greatest common factor 220,428,530 is 2.

Lets's calculate LCM of 19,51,225

3 19, 51, 225
19, 17, 75

∴ So the LCM of the given numbers is 3 x 19 x 17 x 75 = 72675

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/72675

Therefore, the GCF of Fractions 220/19,428/51,530/225 is 2/72675

Least Common Multiple of 19,51,225 with GCF Formula

Least Common Multiple of 19,51,225 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 19,51,225 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(19,51,225) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(19,51,225) x common factors =1 x 3 = 3

LCM(19,51,225) = ( 19 × 51 × 225 ) / 3

LCM(19,51,225) = 218025 / 3

LCM(19,51,225) = 72675


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 220/19, 428/51, 530/225

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 220/19, 428/51, 530/225?

Answer: GCF of Numerators as per given numbers 220/19, 428/51, 530/225 is

GCF of Numerators i.e. for 220,428,530 is 2

LCM of denominators i.e. for 19,51,225 is 72675.

Thus, GCF of Fractions is 2/72675.Finally, GCF of Fractions for 220/19, 428/51, 530/225 is 2/72675.