Greatest Common Factor of 947/36, 784/62, 433/56

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 947/36, 784/62, 433/56

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 947/36,784/62,433/56

Given fractions are 947/36,784/62,433/56

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 947,784,433

Greatest Common Factor of Numerators i.e. GCF of 947,784,433 is 1 .

LCM of Denominators means LCM of 36,62,56 as per the given fractions.

LCM of 36,62,56 is 15624 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 947,784,433

GCF of Fractions 947/36,784/62,433/56 is 1/15624

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

Greatest Common Factor of 947,784,433 By Matching Biggest Common Factor Method

Greatest Common Factor of 947,784,433 By Matching Biggest Common Factor Method

Factors of 947

List of positive integer factors of 947 that divides 947 without a remainder.

1,947

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 433

List of positive integer factors of 433 that divides 433 without a remainder.

1,433

Greatest Common Factor

We found the factors 947,784,433 . The biggest common factor number is the GCF number.
So the greatest common factor 947,784,433 is 1.

Lets's calculate LCM of 36,62,56

2 36, 62, 56
2 18, 31, 28
9, 31, 14

∴ So the LCM of the given numbers is 2 x 2 x 9 x 31 x 14 = 15624

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/15624

Therefore, the GCF of Fractions 947/36,784/62,433/56 is 1/15624

Least Common Multiple of 36,62,56 with GCF Formula

Least Common Multiple of 36,62,56 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 36,62,56 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,62,56) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(36,62,56) x common factors =2 x 4 = 8

LCM(36,62,56) = ( 36 × 62 × 56 ) / 8

LCM(36,62,56) = 124992 / 8

LCM(36,62,56) = 15624


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 947/36, 784/62, 433/56

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 947/36, 784/62, 433/56?

Answer: GCF of Numerators as per given numbers 947/36, 784/62, 433/56 is

GCF of Numerators i.e. for 947,784,433 is 1

LCM of denominators i.e. for 36,62,56 is 15624.

Thus, GCF of Fractions is 1/15624.Finally, GCF of Fractions for 947/36, 784/62, 433/56 is 1/15624.