Greatest Common Factor of 80/986, 94/372, 216/435

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 80/986, 94/372, 216/435

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 80/986,94/372,216/435

Given fractions are 80/986,94/372,216/435

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 80,94,216

Greatest Common Factor of Numerators i.e. GCF of 80,94,216 is 2 .

LCM of Denominators means LCM of 986,372,435 as per the given fractions.

LCM of 986,372,435 is 916980 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 80,94,216

GCF of Fractions 80/986,94/372,216/435 is 2/916980

2 80, 94, 216
40, 47, 108

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

Greatest Common Factor of 80,94,216 By Matching Biggest Common Factor Method

Greatest Common Factor of 80,94,216 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 94

List of positive integer factors of 94 that divides 94 without a remainder.

1,2,47,94

Factors of 216

List of positive integer factors of 216 that divides 216 without a remainder.

1,2,3,4,6,8,9,12,18,24,27,36,54,72,108,216

Greatest Common Factor

We found the factors 80,94,216 . The biggest common factor number is the GCF number.
So the greatest common factor 80,94,216 is 2.

Lets's calculate LCM of 986,372,435

2 986, 372, 435
3 493, 186, 435
29 493, 62, 145
17, 62, 5

∴ So the LCM of the given numbers is 2 x 3 x 29 x 17 x 62 x 5 = 916980

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/916980

Therefore, the GCF of Fractions 80/986,94/372,216/435 is 2/916980

Least Common Multiple of 986,372,435 with GCF Formula

Least Common Multiple of 986,372,435 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 986,372,435 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(986,372,435) = 1

common factors(in case of two or more numbers have common factors) = 174

GCF(986,372,435) x common factors =1 x 174 = 174

LCM(986,372,435) = ( 986 × 372 × 435 ) / 174

LCM(986,372,435) = 159554520 / 174

LCM(986,372,435) = 916980


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 80/986, 94/372, 216/435

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 80/986, 94/372, 216/435?

Answer: GCF of Numerators as per given numbers 80/986, 94/372, 216/435 is

GCF of Numerators i.e. for 80,94,216 is 2

LCM of denominators i.e. for 986,372,435 is 916980.

Thus, GCF of Fractions is 2/916980.Finally, GCF of Fractions for 80/986, 94/372, 216/435 is 2/916980.