Greatest Common Factor of 784/43, 845/36, 503/282

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 784/43, 845/36, 503/282

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 784/43,845/36,503/282

Given fractions are 784/43,845/36,503/282

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 784,845,503

Greatest Common Factor of Numerators i.e. GCF of 784,845,503 is 1 .

LCM of Denominators means LCM of 43,36,282 as per the given fractions.

LCM of 43,36,282 is 72756 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 784,845,503

GCF of Fractions 784/43,845/36,503/282 is 1/72756

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

Greatest Common Factor of 784,845,503 By Matching Biggest Common Factor Method

Greatest Common Factor of 784,845,503 By Matching Biggest Common Factor Method

Factors of 784

List of positive integer factors of 784 that divides 784 without a remainder.

1,2,4,7,8,14,16,28,49,56,98,112,196,392,784

Factors of 845

List of positive integer factors of 845 that divides 845 without a remainder.

1,5,13,65,169,845

Factors of 503

List of positive integer factors of 503 that divides 503 without a remainder.

1,503

Greatest Common Factor

We found the factors 784,845,503 . The biggest common factor number is the GCF number.
So the greatest common factor 784,845,503 is 1.

Lets's calculate LCM of 43,36,282

2 43, 36, 282
3 43, 18, 141
43, 6, 47

∴ So the LCM of the given numbers is 2 x 3 x 43 x 6 x 47 = 72756

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/72756

Therefore, the GCF of Fractions 784/43,845/36,503/282 is 1/72756

Least Common Multiple of 43,36,282 with GCF Formula

Least Common Multiple of 43,36,282 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 43,36,282 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(43,36,282) = 1

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

GCF(43,36,282) x common factors =1 x 6 = 6

LCM(43,36,282) = ( 43 × 36 × 282 ) / 6

LCM(43,36,282) = 436536 / 6

LCM(43,36,282) = 72756


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 784/43, 845/36, 503/282

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 784/43, 845/36, 503/282?

Answer: GCF of Numerators as per given numbers 784/43, 845/36, 503/282 is

GCF of Numerators i.e. for 784,845,503 is 1

LCM of denominators i.e. for 43,36,282 is 72756.

Thus, GCF of Fractions is 1/72756.Finally, GCF of Fractions for 784/43, 845/36, 503/282 is 1/72756.