Greatest Common Factor of 44/69, 90/17, 71/80, 522/37

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 44/69, 90/17, 71/80, 522/37

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 44/69,90/17,71/80,522/37

Given fractions are 44/69,90/17,71/80,522/37

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 44,90,71,522

Greatest Common Factor of Numerators i.e. GCF of 44,90,71,522 is 1 .

LCM of Denominators means LCM of 69,17,80,37 as per the given fractions.

LCM of 69,17,80,37 is 3472080 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 44,90,71,522

GCF of Fractions 44/69,90/17,71/80,522/37 is 1/3472080

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

Greatest Common Factor of 44,90,71,522 By Matching Biggest Common Factor Method

Greatest Common Factor of 44,90,71,522 By Matching Biggest Common Factor Method

Factors of 44

List of positive integer factors of 44 that divides 44 without a remainder.

1,2,4,11,22,44

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 71

List of positive integer factors of 71 that divides 71 without a remainder.

1,71

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 44,90,71,522 . The biggest common factor number is the GCF number.
So the greatest common factor 44,90,71,522 is 1.

Lets's calculate LCM of 69,17,80,37

Given numbers has no common factors except 1. So, there LCM is their product i.e 3472080

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3472080

Therefore, the GCF of Fractions 44/69,90/17,71/80,522/37 is 1/3472080

Least Common Multiple of 69,17,80,37 with GCF Formula

Least Common Multiple of 69,17,80,37 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 69,17,80,37 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,17,80,37) = 1

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

GCF(69,17,80,37) x common factors =1 x 1 = 1

LCM(69,17,80,37) = ( 69 × 17 × 80 × 37 ) / 1

LCM(69,17,80,37) = 3472080 / 1

LCM(69,17,80,37) = 3472080


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 44/69, 90/17, 71/80, 522/37

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 44/69, 90/17, 71/80, 522/37?

Answer: GCF of Numerators as per given numbers 44/69, 90/17, 71/80, 522/37 is

GCF of Numerators i.e. for 44,90,71,522 is 1

LCM of denominators i.e. for 69,17,80,37 is 3472080.

Thus, GCF of Fractions is 1/3472080.Finally, GCF of Fractions for 44/69, 90/17, 71/80, 522/37 is 1/3472080.