Greatest Common Factor of 42/51, 34/51, 228/525

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 42/51, 34/51, 228/525

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 42/51,34/51,228/525

Given fractions are 42/51,34/51,228/525

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 42,34,228

Greatest Common Factor of Numerators i.e. GCF of 42,34,228 is 2 .

LCM of Denominators means LCM of 51,51,525 as per the given fractions.

LCM of 51,51,525 is 8925 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 42,34,228

GCF of Fractions 42/51,34/51,228/525 is 2/8925

2 42, 34, 228
21, 17, 114

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

Greatest Common Factor of 42,34,228 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,34,228 By Matching Biggest Common Factor Method

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 228

List of positive integer factors of 228 that divides 228 without a remainder.

1,2,3,4,6,12,19,38,57,76,114,228

Greatest Common Factor

We found the factors 42,34,228 . The biggest common factor number is the GCF number.
So the greatest common factor 42,34,228 is 2.

Lets's calculate LCM of 51,51,525

3 51, 51, 525
17 17, 17, 175
1, 1, 175

∴ So the LCM of the given numbers is 3 x 17 x 1 x 1 x 175 = 8925

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/8925

Therefore, the GCF of Fractions 42/51,34/51,228/525 is 2/8925

Least Common Multiple of 51,51,525 with GCF Formula

Least Common Multiple of 51,51,525 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 51,51,525 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,51,525) = 3

common factors(in case of two or more numbers have common factors) = 51

GCF(51,51,525) x common factors =3 x 51 = 153

LCM(51,51,525) = ( 51 × 51 × 525 ) / 153

LCM(51,51,525) = 1365525 / 153

LCM(51,51,525) = 8925


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 42/51, 34/51, 228/525

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 42/51, 34/51, 228/525?

Answer: GCF of Numerators as per given numbers 42/51, 34/51, 228/525 is

GCF of Numerators i.e. for 42,34,228 is 2

LCM of denominators i.e. for 51,51,525 is 8925.

Thus, GCF of Fractions is 2/8925.Finally, GCF of Fractions for 42/51, 34/51, 228/525 is 2/8925.