GCD of 743, 275, 280, 146 Calculator

Given Input numbers are 743, 275, 280, 146

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

Divisors of 743

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

1, 743

Divisors of 275

List of positive integer divisors of 275 that divides 275 without a remainder.

1, 5, 11, 25, 55, 275

Divisors of 280

List of positive integer divisors of 280 that divides 280 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

Divisors of 146

List of positive integer divisors of 146 that divides 146 without a remainder.

1, 2, 73, 146

Greatest Common Divisior

We found the divisors of 743, 275, 280, 146 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 743, 275, 280, 146 is 1.

Therefore, GCD of numbers 743, 275, 280, 146 is 1

Given Input Data is 743, 275, 280, 146

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

Prime Factorization of 743 is 743

Prime Factorization of 275 is 5 x 5 x 11

Prime Factorization of 280 is 2 x 2 x 2 x 5 x 7

Prime Factorization of 146 is 2 x 73

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(743, 275) = 204325

GCD(743, 275) = ( 743 x 275 ) / 204325

GCD(743, 275) = 204325 / 204325

GCD(743, 275) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 280

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

LCM(1, 280) = 280

GCD(1, 280) = ( 1 x 280 ) / 280

GCD(1, 280) = 280 / 280

GCD(1, 280) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 146

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

LCM(1, 146) = 146

GCD(1, 146) = ( 1 x 146 ) / 146

GCD(1, 146) = 146 / 146

GCD(1, 146) = 1

GCD of 743, 275, 280, 146 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 212, 134, 832, 542
• GCD of 545, 651, 190, 699
• GCD of 598, 127, 707, 261
• GCD of 948, 268, 781, 432
• GCD of 107, 702, 546, 685

1. What is the GCD of 743, 275, 280, 146?

GCD of 743, 275, 280, 146 is 1

2. Where do I get the detailed procedure to find GCD of 743, 275, 280, 146?

You can find a detailed procedure to find GCD of 743, 275, 280, 146 on our page.

3. How to find GCD of 743, 275, 280, 146 on a calculator?

You can find the GCD of 743, 275, 280, 146 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.