GCD of 140, 743, 60, 285 Calculator

Given Input numbers are 140, 743, 60, 285

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 140

List of positive integer divisors of 140 that divides 140 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

Divisors of 743

List of positive integer divisors of 743 that divides 743 without a remainder.

1, 743

Divisors of 60

List of positive integer divisors of 60 that divides 60 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

Divisors of 285

List of positive integer divisors of 285 that divides 285 without a remainder.

1, 3, 5, 15, 19, 57, 95, 285

Greatest Common Divisior

We found the divisors of 140, 743, 60, 285 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 140, 743, 60, 285 is 1.

Therefore, GCD of numbers 140, 743, 60, 285 is 1

Given Input Data is 140, 743, 60, 285

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 140 is 2 x 2 x 5 x 7

Prime Factorization of 743 is 743

Prime Factorization of 60 is 2 x 2 x 3 x 5

Prime Factorization of 285 is 3 x 5 x 19

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(140, 743) = 104020

GCD(140, 743) = ( 140 x 743 ) / 104020

GCD(140, 743) = 104020 / 104020

GCD(140, 743) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 60

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 60) = 60

GCD(1, 60) = ( 1 x 60 ) / 60

GCD(1, 60) = 60 / 60

GCD(1, 60) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 285

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 285) = 285

GCD(1, 285) = ( 1 x 285 ) / 285

GCD(1, 285) = 285 / 285

GCD(1, 285) = 1

GCD of 140, 743, 60, 285 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 696, 123, 46, 172
• GCD of 561, 775, 60, 675
• GCD of 760, 325, 87, 469
• GCD of 647, 776, 58, 283
• GCD of 779, 530, 48, 987

1. What is the GCD of 140, 743, 60, 285?

GCD of 140, 743, 60, 285 is 1

2. Where do I get the detailed procedure to find GCD of 140, 743, 60, 285?

You can find a detailed procedure to find GCD of 140, 743, 60, 285 on our page.

3. How to find GCD of 140, 743, 60, 285 on a calculator?

You can find the GCD of 140, 743, 60, 285 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.