Greatest Common Factor of 152/45, 9284/783

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 152/45, 9284/783

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 152/45,9284/783

Given fractions are 152/45,9284/783

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 152,9284

Greatest Common Factor of Numerators i.e. GCF of 152,9284 is 4 .

LCM of Denominators means LCM of 45,783 as per the given fractions.

LCM of 45,783 is 3915 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 152,9284

GCF of Fractions 152/45,9284/783 is 4/3915

2 152, 9284
2 76, 4642
38, 2321

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 152,9284 By Matching Biggest Common Factor Method

Greatest Common Factor of 152,9284 By Matching Biggest Common Factor Method

Factors of 152

List of positive integer factors of 152 that divides 152 without a remainder.

1,2,4,8,19,38,76,152

Factors of 9284

List of positive integer factors of 9284 that divides 9284 without a remainder.

1,2,4,11,22,44,211,422,844,2321,4642,9284

Greatest Common Factor

We found the factors 152,9284 . The biggest common factor number is the GCF number.
So the greatest common factor 152,9284 is 4.

Lets's calculate LCM of 45,783

3 45, 783
3 15, 261
5, 87

∴ So the LCM of the given numbers is 3 x 3 x 5 x 87 = 3915

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/3915

Therefore, the GCF of Fractions 152/45,9284/783 is 4/3915

Least Common Multiple of 45,783 with GCF Formula

Least Common Multiple of 45,783 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 45,783 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,783) = 9

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

GCF(45,783) x common factors =9 x 1 = 9

LCM(45,783) = ( 45 × 783 ) / 9

LCM(45,783) = 35235 / 9

LCM(45,783) = 3915


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 152/45, 9284/783

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 152/45, 9284/783?

Answer: GCF of Numerators as per given numbers 152/45, 9284/783 is

GCF of Numerators i.e. for 152,9284 is 4

LCM of denominators i.e. for 45,783 is 3915.

Thus, GCF of Fractions is 4/3915.Finally, GCF of Fractions for 152/45, 9284/783 is 4/3915.