Greatest Common Factor of 255/21, 522/1690

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 255/21, 522/1690

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 255/21,522/1690

Given fractions are 255/21,522/1690

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 255,522

Greatest Common Factor of Numerators i.e. GCF of 255,522 is 3 .

LCM of Denominators means LCM of 21,1690 as per the given fractions.

LCM of 21,1690 is 35490 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 255,522

GCF of Fractions 255/21,522/1690 is 3/35490

3 255, 522
85, 174

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 255,522 By Matching Biggest Common Factor Method

Greatest Common Factor of 255,522 By Matching Biggest Common Factor Method

Factors of 255

List of positive integer factors of 255 that divides 255 without a remainder.

1,3,5,15,17,51,85,255

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

Greatest Common Factor

We found the factors 255,522 . The biggest common factor number is the GCF number.
So the greatest common factor 255,522 is 3.

Lets's calculate LCM of 21,1690

Given numbers has no common factors except 1. So, there LCM is their product i.e 35490

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/35490

Therefore, the GCF of Fractions 255/21,522/1690 is 3/35490

Least Common Multiple of 21,1690 with GCF Formula

Least Common Multiple of 21,1690 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 21,1690 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,1690) = 1

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

GCF(21,1690) x common factors =1 x 1 = 1

LCM(21,1690) = ( 21 × 1690 ) / 1

LCM(21,1690) = 35490 / 1

LCM(21,1690) = 35490


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 255/21, 522/1690

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 255/21, 522/1690?

Answer: GCF of Numerators as per given numbers 255/21, 522/1690 is

GCF of Numerators i.e. for 255,522 is 3

LCM of denominators i.e. for 21,1690 is 35490.

Thus, GCF of Fractions is 3/35490.Finally, GCF of Fractions for 255/21, 522/1690 is 3/35490.