Greatest Common Factor of 80/445, 20/112, 202/986

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 80/445, 20/112, 202/986

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 80/445,20/112,202/986

Given fractions are 80/445,20/112,202/986

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 80,20,202

Greatest Common Factor of Numerators i.e. GCF of 80,20,202 is 2 .

LCM of Denominators means LCM of 445,112,986 as per the given fractions.

LCM of 445,112,986 is 24571120 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 80,20,202

GCF of Fractions 80/445,20/112,202/986 is 2/24571120

2 80, 20, 202
40, 10, 101

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

Greatest Common Factor of 80,20,202 By Matching Biggest Common Factor Method

Greatest Common Factor of 80,20,202 By Matching Biggest Common Factor Method

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 202

List of positive integer factors of 202 that divides 202 without a remainder.

1,2,101,202

Greatest Common Factor

We found the factors 80,20,202 . The biggest common factor number is the GCF number.
So the greatest common factor 80,20,202 is 2.

Lets's calculate LCM of 445,112,986

2 445, 112, 986
445, 56, 493

∴ So the LCM of the given numbers is 2 x 445 x 56 x 493 = 24571120

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/24571120

Therefore, the GCF of Fractions 80/445,20/112,202/986 is 2/24571120

Least Common Multiple of 445,112,986 with GCF Formula

Least Common Multiple of 445,112,986 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 445,112,986 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(445,112,986) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(445,112,986) x common factors =1 x 2 = 2

LCM(445,112,986) = ( 445 × 112 × 986 ) / 2

LCM(445,112,986) = 49142240 / 2

LCM(445,112,986) = 24571120


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 80/445, 20/112, 202/986

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 80/445, 20/112, 202/986?

Answer: GCF of Numerators as per given numbers 80/445, 20/112, 202/986 is

GCF of Numerators i.e. for 80,20,202 is 2

LCM of denominators i.e. for 445,112,986 is 24571120.

Thus, GCF of Fractions is 2/24571120.Finally, GCF of Fractions for 80/445, 20/112, 202/986 is 2/24571120.