Greatest Common Factor of 83/14, 41/31, 75/22, 15/200

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 83/14, 41/31, 75/22, 15/200

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 83/14,41/31,75/22,15/200

Given fractions are 83/14,41/31,75/22,15/200

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 83,41,75,15

Greatest Common Factor of Numerators i.e. GCF of 83,41,75,15 is 1 .

LCM of Denominators means LCM of 14,31,22,200 as per the given fractions.

LCM of 14,31,22,200 is 477400 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 83,41,75,15

GCF of Fractions 83/14,41/31,75/22,15/200 is 1/477400

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

Greatest Common Factor of 83,41,75,15 By Matching Biggest Common Factor Method

Greatest Common Factor of 83,41,75,15 By Matching Biggest Common Factor Method

Factors of 83

List of positive integer factors of 83 that divides 83 without a remainder.

1,83

Factors of 41

List of positive integer factors of 41 that divides 41 without a remainder.

1,41

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 15

List of positive integer factors of 15 that divides 15 without a remainder.

1,3,5,15

Greatest Common Factor

We found the factors 83,41,75,15 . The biggest common factor number is the GCF number.
So the greatest common factor 83,41,75,15 is 1.

Lets's calculate LCM of 14,31,22,200

2 14, 31, 22, 200
7, 31, 11, 100

∴ So the LCM of the given numbers is 2 x 7 x 31 x 11 x 100 = 477400

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/477400

Therefore, the GCF of Fractions 83/14,41/31,75/22,15/200 is 1/477400

Least Common Multiple of 14,31,22,200 with GCF Formula

Least Common Multiple of 14,31,22,200 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 14,31,22,200 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(14,31,22,200) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(14,31,22,200) x common factors =1 x 4 = 4

LCM(14,31,22,200) = ( 14 × 31 × 22 × 200 ) / 4

LCM(14,31,22,200) = 1909600 / 4

LCM(14,31,22,200) = 477400


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 83/14, 41/31, 75/22, 15/200

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 83/14, 41/31, 75/22, 15/200?

Answer: GCF of Numerators as per given numbers 83/14, 41/31, 75/22, 15/200 is

GCF of Numerators i.e. for 83,41,75,15 is 1

LCM of denominators i.e. for 14,31,22,200 is 477400.

Thus, GCF of Fractions is 1/477400.Finally, GCF of Fractions for 83/14, 41/31, 75/22, 15/200 is 1/477400.