GCD of 746, 169, 273, 362 Calculator

Given Input numbers are 746, 169, 273, 362

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

Divisors of 746

List of positive integer divisors of 746 that divides 746 without a remainder.

1, 2, 373, 746

Divisors of 169

List of positive integer divisors of 169 that divides 169 without a remainder.

1, 13, 169

Divisors of 273

List of positive integer divisors of 273 that divides 273 without a remainder.

1, 3, 7, 13, 21, 39, 91, 273

Divisors of 362

List of positive integer divisors of 362 that divides 362 without a remainder.

1, 2, 181, 362

Greatest Common Divisior

We found the divisors of 746, 169, 273, 362 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 746, 169, 273, 362 is 1.

Therefore, GCD of numbers 746, 169, 273, 362 is 1

Given Input Data is 746, 169, 273, 362

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

Prime Factorization of 746 is 2 x 373

Prime Factorization of 169 is 13 x 13

Prime Factorization of 273 is 3 x 7 x 13

Prime Factorization of 362 is 2 x 181

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(746, 169) = 126074

GCD(746, 169) = ( 746 x 169 ) / 126074

GCD(746, 169) = 126074 / 126074

GCD(746, 169) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 273

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

LCM(1, 273) = 273

GCD(1, 273) = ( 1 x 273 ) / 273

GCD(1, 273) = 273 / 273

GCD(1, 273) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 362

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

LCM(1, 362) = 362

GCD(1, 362) = ( 1 x 362 ) / 362

GCD(1, 362) = 362 / 362

GCD(1, 362) = 1

GCD of 746, 169, 273, 362 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 617, 808, 362, 327
• GCD of 237, 589, 207, 464
• GCD of 454, 445, 588, 504
• GCD of 866, 786, 941, 574
• GCD of 612, 541, 362, 135

1. What is the GCD of 746, 169, 273, 362?

GCD of 746, 169, 273, 362 is 1

2. Where do I get the detailed procedure to find GCD of 746, 169, 273, 362?

You can find a detailed procedure to find GCD of 746, 169, 273, 362 on our page.

3. How to find GCD of 746, 169, 273, 362 on a calculator?

You can find the GCD of 746, 169, 273, 362 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.