LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCF of 20/428, 30/228

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 20/428, 30/228 i.e 10/24396 easily. The following is the detailed procedure to determine the greatest common factor of fractions 20/428, 30/228.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 20/428,30/228?

Given fractions are 20/428,30/228

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 20/428,30/228, numerators are 20,30

Denominators are 428,228

The GCF of 20,30 is 10 .

LCM of 428,228 is 24396.

The greatest common factor of 20/428,30/228 = [GCF of 20,30]/[LCM of 428,228]= 10/24396

Therefore, the GCF of 20/428,30/228 is 10/24396.

Greatest Common Factor of 20,30

To find the highest common factor of 20,30, we have to find the factors of both numbers and list the highest common factor.

The factors of 20 are 1, 2, 4, 5, 10, 20

The factors of 30 are 1, 2, 3, 5, 6, 10, 15, 30

The HCF of 20,30 is 10.

Lets's calculate GCF of 20,30

Greatest Common Factor (GCF) of 20,30 By Common Division

2 20, 30
5 10, 15
2, 3

∴ So the GCF of the given numbers is 2 x 5 = 10

Greatest Common Factor of 20,30 By Matching Biggest Common Factor Method

Greatest Common Factor of 20,30 By Matching Biggest Common Factor Method

Now, list down the factors of 20

:

1,2,4,5,10,20

Now, list down the factors of 30

:

1,2,3,5,6,10,15,30

Greatest Common Factor

We found the factors 20,30 . The biggest common factor number is the GCF number.
So the greatest common factor 20,30 is 10.

Lets's calculate LCM of 428,228

Lowest Common Multiple of 428,228 using Common Division

2 428, 228
2 214, 114
107, 57

∴ So the LCM of the given numbers is 2 x 2 x 107 x 57 = 24396

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/24396

Therefore, the GCF of Fractions 20/428,30/228 is 10/24396

Least Common Multiple of 428,228 with GCF Formula

Least Common Multiple of 428,228 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 428,228 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(428,228) = 4

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

GCF(428,228) x common factors =4 x 1 = 4

LCM(428,228) = ( 428 × 228 ) / 4

LCM(428,228) = 97584 / 4

LCM(428,228) = 24396


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 20/428, 30/228

1. What is the HCF of 20,30?

The HCF of 20,30 is 10

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. 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.

4. What is the GCF of Fractions for 20/428, 30/228?

Answer: GCF of Numerators as per given numbers 20/428, 30/228 is

GCF of Numerators i.e. for 20,30 is 10

LCM of denominators i.e. for 428,228 is 24396.

Thus, GCF of Fractions is 10/24396.Finally, GCF of Fractions for 20/428, 30/228 is 10/24396.