Greatest Common Factor of 40/106, 990/283

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 40/106, 990/283

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 40/106,990/283

Given fractions are 40/106,990/283

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 40,990

Greatest Common Factor of Numerators i.e. GCF of 40,990 is 10 .

LCM of Denominators means LCM of 106,283 as per the given fractions.

LCM of 106,283 is 29998 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 40,990

GCF of Fractions 40/106,990/283 is 10/29998

2 40, 990
5 20, 495
4, 99

∴ So the GCF of the given numbers is 2 x 5 = 10

Greatest Common Factor of 40,990 By Matching Biggest Common Factor Method

Greatest Common Factor of 40,990 By Matching Biggest Common Factor Method

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 990

List of positive integer factors of 990 that divides 990 without a remainder.

1,2,3,5,6,9,10,11,15,18,22,30,33,45,55,66,90,99,110,165,198,330,495,990

Greatest Common Factor

We found the factors 40,990 . The biggest common factor number is the GCF number.
So the greatest common factor 40,990 is 10.

Lets's calculate LCM of 106,283

Given numbers has no common factors except 1. So, there LCM is their product i.e 29998

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/29998

Therefore, the GCF of Fractions 40/106,990/283 is 10/29998

Least Common Multiple of 106,283 with GCF Formula

Least Common Multiple of 106,283 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 106,283 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(106,283) = 1

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

GCF(106,283) x common factors =1 x 1 = 1

LCM(106,283) = ( 106 × 283 ) / 1

LCM(106,283) = 29998 / 1

LCM(106,283) = 29998


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 40/106, 990/283

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 40/106, 990/283?

Answer: GCF of Numerators as per given numbers 40/106, 990/283 is

GCF of Numerators i.e. for 40,990 is 10

LCM of denominators i.e. for 106,283 is 29998.

Thus, GCF of Fractions is 10/29998.Finally, GCF of Fractions for 40/106, 990/283 is 10/29998.