Greatest Common Factor of 8/19, 70/54, 18/480, 219/438

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8/19, 70/54, 18/480, 219/438

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 8/19,70/54,18/480,219/438

Given fractions are 8/19,70/54,18/480,219/438

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 8,70,18,219

Greatest Common Factor of Numerators i.e. GCF of 8,70,18,219 is 1 .

LCM of Denominators means LCM of 19,54,480,438 as per the given fractions.

LCM of 19,54,480,438 is 5991840 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8,70,18,219

GCF of Fractions 8/19,70/54,18/480,219/438 is 1/5991840

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

Greatest Common Factor of 8,70,18,219 By Matching Biggest Common Factor Method

Greatest Common Factor of 8,70,18,219 By Matching Biggest Common Factor Method

Factors of 8

List of positive integer factors of 8 that divides 8 without a remainder.

1,2,4,8

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 219

List of positive integer factors of 219 that divides 219 without a remainder.

1,3,73,219

Greatest Common Factor

We found the factors 8,70,18,219 . The biggest common factor number is the GCF number.
So the greatest common factor 8,70,18,219 is 1.

Lets's calculate LCM of 19,54,480,438

2 19, 54, 480, 438
3 19, 27, 240, 219
19, 9, 80, 73

∴ So the LCM of the given numbers is 2 x 3 x 19 x 9 x 80 x 73 = 5991840

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5991840

Therefore, the GCF of Fractions 8/19,70/54,18/480,219/438 is 1/5991840

Least Common Multiple of 19,54,480,438 with GCF Formula

Least Common Multiple of 19,54,480,438 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 19,54,480,438 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(19,54,480,438) = 1

common factors(in case of two or more numbers have common factors) = 36

GCF(19,54,480,438) x common factors =1 x 36 = 36

LCM(19,54,480,438) = ( 19 × 54 × 480 × 438 ) / 36

LCM(19,54,480,438) = 215706240 / 36

LCM(19,54,480,438) = 5991840


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 8/19, 70/54, 18/480, 219/438

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 8/19, 70/54, 18/480, 219/438?

Answer: GCF of Numerators as per given numbers 8/19, 70/54, 18/480, 219/438 is

GCF of Numerators i.e. for 8,70,18,219 is 1

LCM of denominators i.e. for 19,54,480,438 is 5991840.

Thus, GCF of Fractions is 1/5991840.Finally, GCF of Fractions for 8/19, 70/54, 18/480, 219/438 is 1/5991840.