Greatest Common Factor of 38/528, 266/169

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 38/528, 266/169

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 38/528,266/169

Given fractions are 38/528,266/169

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 38,266

Greatest Common Factor of Numerators i.e. GCF of 38,266 is 38 .

LCM of Denominators means LCM of 528,169 as per the given fractions.

LCM of 528,169 is 89232 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 38,266

GCF of Fractions 38/528,266/169 is 38/89232

2 38, 266
19 19, 133
1, 7

∴ So the GCF of the given numbers is 2 x 19 = 38

Greatest Common Factor of 38,266 By Matching Biggest Common Factor Method

Greatest Common Factor of 38,266 By Matching Biggest Common Factor Method

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 266

List of positive integer factors of 266 that divides 266 without a remainder.

1,2,7,14,19,38,133,266

Greatest Common Factor

We found the factors 38,266 . The biggest common factor number is the GCF number.
So the greatest common factor 38,266 is 38.

Lets's calculate LCM of 528,169

Given numbers has no common factors except 1. So, there LCM is their product i.e 89232

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 38/89232

Therefore, the GCF of Fractions 38/528,266/169 is 38/89232

Least Common Multiple of 528,169 with GCF Formula

Least Common Multiple of 528,169 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 528,169 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(528,169) = 1

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

GCF(528,169) x common factors =1 x 1 = 1

LCM(528,169) = ( 528 × 169 ) / 1

LCM(528,169) = 89232 / 1

LCM(528,169) = 89232


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 38/528, 266/169

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 38/528, 266/169?

Answer: GCF of Numerators as per given numbers 38/528, 266/169 is

GCF of Numerators i.e. for 38,266 is 38

LCM of denominators i.e. for 528,169 is 89232.

Thus, GCF of Fractions is 38/89232.Finally, GCF of Fractions for 38/528, 266/169 is 38/89232.