Greatest Common Factor of 522/38, 229/16, 707/16

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 522/38, 229/16, 707/16

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 522/38,229/16,707/16

Given fractions are 522/38,229/16,707/16

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 522,229,707

Greatest Common Factor of Numerators i.e. GCF of 522,229,707 is 1 .

LCM of Denominators means LCM of 38,16,16 as per the given fractions.

LCM of 38,16,16 is 304 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 522,229,707

GCF of Fractions 522/38,229/16,707/16 is 1/304

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

Greatest Common Factor of 522,229,707 By Matching Biggest Common Factor Method

Greatest Common Factor of 522,229,707 By Matching Biggest Common Factor Method

Factors of 522

List of positive integer factors of 522 that divides 522 without a remainder.

1,2,3,6,9,18,29,58,87,174,261,522

Factors of 229

List of positive integer factors of 229 that divides 229 without a remainder.

1,229

Factors of 707

List of positive integer factors of 707 that divides 707 without a remainder.

1,7,101,707

Greatest Common Factor

We found the factors 522,229,707 . The biggest common factor number is the GCF number.
So the greatest common factor 522,229,707 is 1.

Lets's calculate LCM of 38,16,16

2 38, 16, 16
2 19, 8, 8
2 19, 4, 4
2 19, 2, 2
19, 1, 1

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 19 x 1 x 1 = 304

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/304

Therefore, the GCF of Fractions 522/38,229/16,707/16 is 1/304

Least Common Multiple of 38,16,16 with GCF Formula

Least Common Multiple of 38,16,16 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 38,16,16 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,16,16) = 2

common factors(in case of two or more numbers have common factors) = 16

GCF(38,16,16) x common factors =2 x 16 = 32

LCM(38,16,16) = ( 38 × 16 × 16 ) / 32

LCM(38,16,16) = 9728 / 32

LCM(38,16,16) = 304


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 522/38, 229/16, 707/16

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 522/38, 229/16, 707/16?

Answer: GCF of Numerators as per given numbers 522/38, 229/16, 707/16 is

GCF of Numerators i.e. for 522,229,707 is 1

LCM of denominators i.e. for 38,16,16 is 304.

Thus, GCF of Fractions is 1/304.Finally, GCF of Fractions for 522/38, 229/16, 707/16 is 1/304.