Greatest Common Factor of 51/23, 659/88, 522/213

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 51/23, 659/88, 522/213

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 51/23,659/88,522/213

Given fractions are 51/23,659/88,522/213

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 51,659,522

Greatest Common Factor of Numerators i.e. GCF of 51,659,522 is 1 .

LCM of Denominators means LCM of 23,88,213 as per the given fractions.

LCM of 23,88,213 is 431112 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 51,659,522

GCF of Fractions 51/23,659/88,522/213 is 1/431112

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

Greatest Common Factor of 51,659,522 By Matching Biggest Common Factor Method

Greatest Common Factor of 51,659,522 By Matching Biggest Common Factor Method

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Factors of 659

List of positive integer factors of 659 that divides 659 without a remainder.

1,659

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 51,659,522 . The biggest common factor number is the GCF number.
So the greatest common factor 51,659,522 is 1.

Lets's calculate LCM of 23,88,213

Given numbers has no common factors except 1. So, there LCM is their product i.e 431112

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/431112

Therefore, the GCF of Fractions 51/23,659/88,522/213 is 1/431112

Least Common Multiple of 23,88,213 with GCF Formula

Least Common Multiple of 23,88,213 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 23,88,213 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,88,213) = 1

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

GCF(23,88,213) x common factors =1 x 1 = 1

LCM(23,88,213) = ( 23 × 88 × 213 ) / 1

LCM(23,88,213) = 431112 / 1

LCM(23,88,213) = 431112


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 51/23, 659/88, 522/213

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 51/23, 659/88, 522/213?

Answer: GCF of Numerators as per given numbers 51/23, 659/88, 522/213 is

GCF of Numerators i.e. for 51,659,522 is 1

LCM of denominators i.e. for 23,88,213 is 431112.

Thus, GCF of Fractions is 1/431112.Finally, GCF of Fractions for 51/23, 659/88, 522/213 is 1/431112.