Greatest Common Factor of 406/901, 1990/985

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 406/901, 1990/985

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 406/901,1990/985

Given fractions are 406/901,1990/985

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 406,1990

Greatest Common Factor of Numerators i.e. GCF of 406,1990 is 2 .

LCM of Denominators means LCM of 901,985 as per the given fractions.

LCM of 901,985 is 887485 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 406,1990

GCF of Fractions 406/901,1990/985 is 2/887485

2 406, 1990
203, 995

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 406,1990 By Matching Biggest Common Factor Method

Greatest Common Factor of 406,1990 By Matching Biggest Common Factor Method

Factors of 406

List of positive integer factors of 406 that divides 406 without a remainder.

1,2,7,14,29,58,203,406

Factors of 1990

List of positive integer factors of 1990 that divides 1990 without a remainder.

1,2,5,10,199,398,995,1990

Greatest Common Factor

We found the factors 406,1990 . The biggest common factor number is the GCF number.
So the greatest common factor 406,1990 is 2.

Lets's calculate LCM of 901,985

Given numbers has no common factors except 1. So, there LCM is their product i.e 887485

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/887485

Therefore, the GCF of Fractions 406/901,1990/985 is 2/887485

Least Common Multiple of 901,985 with GCF Formula

Least Common Multiple of 901,985 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 901,985 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(901,985) = 1

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

GCF(901,985) x common factors =1 x 1 = 1

LCM(901,985) = ( 901 × 985 ) / 1

LCM(901,985) = 887485 / 1

LCM(901,985) = 887485


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 406/901, 1990/985

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 406/901, 1990/985?

Answer: GCF of Numerators as per given numbers 406/901, 1990/985 is

GCF of Numerators i.e. for 406,1990 is 2

LCM of denominators i.e. for 901,985 is 887485.

Thus, GCF of Fractions is 2/887485.Finally, GCF of Fractions for 406/901, 1990/985 is 2/887485.