Greatest Common Factor of 984/28, 185/46, 506/45

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 984/28, 185/46, 506/45

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 984/28,185/46,506/45

Given fractions are 984/28,185/46,506/45

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 984,185,506

Greatest Common Factor of Numerators i.e. GCF of 984,185,506 is 1 .

LCM of Denominators means LCM of 28,46,45 as per the given fractions.

LCM of 28,46,45 is 28980 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 984,185,506

GCF of Fractions 984/28,185/46,506/45 is 1/28980

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

Greatest Common Factor of 984,185,506 By Matching Biggest Common Factor Method

Greatest Common Factor of 984,185,506 By Matching Biggest Common Factor Method

Factors of 984

List of positive integer factors of 984 that divides 984 without a remainder.

1,2,3,4,6,8,12,24,41,82,123,164,246,328,492,984

Factors of 185

List of positive integer factors of 185 that divides 185 without a remainder.

1,5,37,185

Factors of 506

List of positive integer factors of 506 that divides 506 without a remainder.

1,2,11,22,23,46,253,506

Greatest Common Factor

We found the factors 984,185,506 . The biggest common factor number is the GCF number.
So the greatest common factor 984,185,506 is 1.

Lets's calculate LCM of 28,46,45

2 28, 46, 45
14, 23, 45

∴ So the LCM of the given numbers is 2 x 14 x 23 x 45 = 28980

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/28980

Therefore, the GCF of Fractions 984/28,185/46,506/45 is 1/28980

Least Common Multiple of 28,46,45 with GCF Formula

Least Common Multiple of 28,46,45 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 28,46,45 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(28,46,45) = 1

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

GCF(28,46,45) x common factors =1 x 2 = 2

LCM(28,46,45) = ( 28 × 46 × 45 ) / 2

LCM(28,46,45) = 57960 / 2

LCM(28,46,45) = 28980


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 984/28, 185/46, 506/45

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 984/28, 185/46, 506/45?

Answer: GCF of Numerators as per given numbers 984/28, 185/46, 506/45 is

GCF of Numerators i.e. for 984,185,506 is 1

LCM of denominators i.e. for 28,46,45 is 28980.

Thus, GCF of Fractions is 1/28980.Finally, GCF of Fractions for 984/28, 185/46, 506/45 is 1/28980.