Greatest Common Factor of 10/219, 66/588, 598/448

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 10/219, 66/588, 598/448

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 10/219,66/588,598/448

Given fractions are 10/219,66/588,598/448

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 10,66,598

Greatest Common Factor of Numerators i.e. GCF of 10,66,598 is 2 .

LCM of Denominators means LCM of 219,588,448 as per the given fractions.

LCM of 219,588,448 is 686784 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 10,66,598

GCF of Fractions 10/219,66/588,598/448 is 2/686784

2 10, 66, 598
5, 33, 299

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

Greatest Common Factor of 10,66,598 By Matching Biggest Common Factor Method

Greatest Common Factor of 10,66,598 By Matching Biggest Common Factor Method

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Factors of 598

List of positive integer factors of 598 that divides 598 without a remainder.

1,2,13,23,26,46,299,598

Greatest Common Factor

We found the factors 10,66,598 . The biggest common factor number is the GCF number.
So the greatest common factor 10,66,598 is 2.

Lets's calculate LCM of 219,588,448

2 219, 588, 448
2 219, 294, 224
3 219, 147, 112
7 73, 49, 112
73, 7, 16

∴ So the LCM of the given numbers is 2 x 2 x 3 x 7 x 73 x 7 x 16 = 686784

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/686784

Therefore, the GCF of Fractions 10/219,66/588,598/448 is 2/686784

Least Common Multiple of 219,588,448 with GCF Formula

Least Common Multiple of 219,588,448 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 219,588,448 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(219,588,448) = 1

common factors(in case of two or more numbers have common factors) = 84

GCF(219,588,448) x common factors =1 x 84 = 84

LCM(219,588,448) = ( 219 × 588 × 448 ) / 84

LCM(219,588,448) = 57689856 / 84

LCM(219,588,448) = 686784


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 10/219, 66/588, 598/448

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 10/219, 66/588, 598/448?

Answer: GCF of Numerators as per given numbers 10/219, 66/588, 598/448 is

GCF of Numerators i.e. for 10,66,598 is 2

LCM of denominators i.e. for 219,588,448 is 686784.

Thus, GCF of Fractions is 2/686784.Finally, GCF of Fractions for 10/219, 66/588, 598/448 is 2/686784.