Greatest Common Factor of 240/17, 662/25, 784/47

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 240/17, 662/25, 784/47

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 240/17,662/25,784/47

Given fractions are 240/17,662/25,784/47

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 240,662,784

Greatest Common Factor of Numerators i.e. GCF of 240,662,784 is 2 .

LCM of Denominators means LCM of 17,25,47 as per the given fractions.

LCM of 17,25,47 is 19975 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 240,662,784

GCF of Fractions 240/17,662/25,784/47 is 2/19975

2 240, 662, 784
120, 331, 392

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

Greatest Common Factor of 240,662,784 By Matching Biggest Common Factor Method

Greatest Common Factor of 240,662,784 By Matching Biggest Common Factor Method

Factors of 240

List of positive integer factors of 240 that divides 240 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,40,48,60,80,120,240

Factors of 662

List of positive integer factors of 662 that divides 662 without a remainder.

1,2,331,662

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

Greatest Common Factor

We found the factors 240,662,784 . The biggest common factor number is the GCF number.
So the greatest common factor 240,662,784 is 2.

Lets's calculate LCM of 17,25,47

Given numbers has no common factors except 1. So, there LCM is their product i.e 19975

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/19975

Therefore, the GCF of Fractions 240/17,662/25,784/47 is 2/19975

Least Common Multiple of 17,25,47 with GCF Formula

Least Common Multiple of 17,25,47 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 17,25,47 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,25,47) = 1

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

GCF(17,25,47) x common factors =1 x 1 = 1

LCM(17,25,47) = ( 17 × 25 × 47 ) / 1

LCM(17,25,47) = 19975 / 1

LCM(17,25,47) = 19975


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 240/17, 662/25, 784/47

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 240/17, 662/25, 784/47?

Answer: GCF of Numerators as per given numbers 240/17, 662/25, 784/47 is

GCF of Numerators i.e. for 240,662,784 is 2

LCM of denominators i.e. for 17,25,47 is 19975.

Thus, GCF of Fractions is 2/19975.Finally, GCF of Fractions for 240/17, 662/25, 784/47 is 2/19975.