Greatest Common Factor of 247/46, 224/79, 465/406

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 247/46, 224/79, 465/406

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 247/46,224/79,465/406

Given fractions are 247/46,224/79,465/406

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 247,224,465

Greatest Common Factor of Numerators i.e. GCF of 247,224,465 is 1 .

LCM of Denominators means LCM of 46,79,406 as per the given fractions.

LCM of 46,79,406 is 737702 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 247,224,465

GCF of Fractions 247/46,224/79,465/406 is 1/737702

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

Greatest Common Factor of 247,224,465 By Matching Biggest Common Factor Method

Greatest Common Factor of 247,224,465 By Matching Biggest Common Factor Method

Factors of 247

List of positive integer factors of 247 that divides 247 without a remainder.

1,13,19,247

Factors of 224

List of positive integer factors of 224 that divides 224 without a remainder.

1,2,4,7,8,14,16,28,32,56,112,224

Factors of 465

List of positive integer factors of 465 that divides 465 without a remainder.

1,3,5,15,31,93,155,465

Greatest Common Factor

We found the factors 247,224,465 . The biggest common factor number is the GCF number.
So the greatest common factor 247,224,465 is 1.

Lets's calculate LCM of 46,79,406

2 46, 79, 406
23, 79, 203

∴ So the LCM of the given numbers is 2 x 23 x 79 x 203 = 737702

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/737702

Therefore, the GCF of Fractions 247/46,224/79,465/406 is 1/737702

Least Common Multiple of 46,79,406 with GCF Formula

Least Common Multiple of 46,79,406 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 46,79,406 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(46,79,406) = 1

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

GCF(46,79,406) x common factors =1 x 2 = 2

LCM(46,79,406) = ( 46 × 79 × 406 ) / 2

LCM(46,79,406) = 1475404 / 2

LCM(46,79,406) = 737702


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 247/46, 224/79, 465/406

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 247/46, 224/79, 465/406?

Answer: GCF of Numerators as per given numbers 247/46, 224/79, 465/406 is

GCF of Numerators i.e. for 247,224,465 is 1

LCM of denominators i.e. for 46,79,406 is 737702.

Thus, GCF of Fractions is 1/737702.Finally, GCF of Fractions for 247/46, 224/79, 465/406 is 1/737702.