Greatest Common Factor of 184/78, 821/90, 982/348

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 184/78, 821/90, 982/348

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 184/78,821/90,982/348

Given fractions are 184/78,821/90,982/348

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 184,821,982

Greatest Common Factor of Numerators i.e. GCF of 184,821,982 is 1 .

LCM of Denominators means LCM of 78,90,348 as per the given fractions.

LCM of 78,90,348 is 67860 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 184,821,982

GCF of Fractions 184/78,821/90,982/348 is 1/67860

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

Greatest Common Factor of 184,821,982 By Matching Biggest Common Factor Method

Greatest Common Factor of 184,821,982 By Matching Biggest Common Factor Method

Factors of 184

List of positive integer factors of 184 that divides 184 without a remainder.

1,2,4,8,23,46,92,184

Factors of 821

List of positive integer factors of 821 that divides 821 without a remainder.

1,821

Factors of 982

List of positive integer factors of 982 that divides 982 without a remainder.

1,2,491,982

Greatest Common Factor

We found the factors 184,821,982 . The biggest common factor number is the GCF number.
So the greatest common factor 184,821,982 is 1.

Lets's calculate LCM of 78,90,348

2 78, 90, 348
3 39, 45, 174
13, 15, 58

∴ So the LCM of the given numbers is 2 x 3 x 13 x 15 x 58 = 67860

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/67860

Therefore, the GCF of Fractions 184/78,821/90,982/348 is 1/67860

Least Common Multiple of 78,90,348 with GCF Formula

Least Common Multiple of 78,90,348 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 78,90,348 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,90,348) = 6

common factors(in case of two or more numbers have common factors) = 6

GCF(78,90,348) x common factors =6 x 6 = 36

LCM(78,90,348) = ( 78 × 90 × 348 ) / 36

LCM(78,90,348) = 2442960 / 36

LCM(78,90,348) = 67860


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 184/78, 821/90, 982/348

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 184/78, 821/90, 982/348?

Answer: GCF of Numerators as per given numbers 184/78, 821/90, 982/348 is

GCF of Numerators i.e. for 184,821,982 is 1

LCM of denominators i.e. for 78,90,348 is 67860.

Thus, GCF of Fractions is 1/67860.Finally, GCF of Fractions for 184/78, 821/90, 982/348 is 1/67860.