Greatest Common Factor of 145/80, 803/63, 814/18

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 145/80, 803/63, 814/18

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 145/80,803/63,814/18

Given fractions are 145/80,803/63,814/18

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 145,803,814

Greatest Common Factor of Numerators i.e. GCF of 145,803,814 is 1 .

LCM of Denominators means LCM of 80,63,18 as per the given fractions.

LCM of 80,63,18 is 5040 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 145,803,814

GCF of Fractions 145/80,803/63,814/18 is 1/5040

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

Greatest Common Factor of 145,803,814 By Matching Biggest Common Factor Method

Greatest Common Factor of 145,803,814 By Matching Biggest Common Factor Method

Factors of 145

List of positive integer factors of 145 that divides 145 without a remainder.

1,5,29,145

Factors of 803

List of positive integer factors of 803 that divides 803 without a remainder.

1,11,73,803

Factors of 814

List of positive integer factors of 814 that divides 814 without a remainder.

1,2,11,22,37,74,407,814

Greatest Common Factor

We found the factors 145,803,814 . The biggest common factor number is the GCF number.
So the greatest common factor 145,803,814 is 1.

Lets's calculate LCM of 80,63,18

2 80, 63, 18
3 40, 63, 9
3 40, 21, 3
40, 7, 1

∴ So the LCM of the given numbers is 2 x 3 x 3 x 40 x 7 x 1 = 5040

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5040

Therefore, the GCF of Fractions 145/80,803/63,814/18 is 1/5040

Least Common Multiple of 80,63,18 with GCF Formula

Least Common Multiple of 80,63,18 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 80,63,18 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(80,63,18) = 1

common factors(in case of two or more numbers have common factors) = 18

GCF(80,63,18) x common factors =1 x 18 = 18

LCM(80,63,18) = ( 80 × 63 × 18 ) / 18

LCM(80,63,18) = 90720 / 18

LCM(80,63,18) = 5040


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 145/80, 803/63, 814/18

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 145/80, 803/63, 814/18?

Answer: GCF of Numerators as per given numbers 145/80, 803/63, 814/18 is

GCF of Numerators i.e. for 145,803,814 is 1

LCM of denominators i.e. for 80,63,18 is 5040.

Thus, GCF of Fractions is 1/5040.Finally, GCF of Fractions for 145/80, 803/63, 814/18 is 1/5040.