GCD of 74, 462, 731, 263 Calculator

Given Input numbers are 74, 462, 731, 263

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

Divisors of 74

List of positive integer divisors of 74 that divides 74 without a remainder.

1, 2, 37, 74

Divisors of 462

List of positive integer divisors of 462 that divides 462 without a remainder.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

Divisors of 731

List of positive integer divisors of 731 that divides 731 without a remainder.

1, 17, 43, 731

Divisors of 263

List of positive integer divisors of 263 that divides 263 without a remainder.

1, 263

Greatest Common Divisior

We found the divisors of 74, 462, 731, 263 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 74, 462, 731, 263 is 1.

Therefore, GCD of numbers 74, 462, 731, 263 is 1

Given Input Data is 74, 462, 731, 263

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

Prime Factorization of 74 is 2 x 37

Prime Factorization of 462 is 2 x 3 x 7 x 11

Prime Factorization of 731 is 17 x 43

Prime Factorization of 263 is 263

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(74, 462) = 17094

GCD(74, 462) = ( 74 x 462 ) / 17094

GCD(74, 462) = 34188 / 17094

GCD(74, 462) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 731

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

LCM(2, 731) = 1462

GCD(2, 731) = ( 2 x 731 ) / 1462

GCD(2, 731) = 1462 / 1462

GCD(2, 731) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 263

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

LCM(1, 263) = 263

GCD(1, 263) = ( 1 x 263 ) / 263

GCD(1, 263) = 263 / 263

GCD(1, 263) = 1

GCD of 74, 462, 731, 263 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 64, 240, 929, 895
• GCD of 32, 382, 224, 727
• GCD of 53, 866, 943, 583
• GCD of 22, 242, 798, 527
• GCD of 35, 571, 763, 947

1. What is the GCD of 74, 462, 731, 263?

GCD of 74, 462, 731, 263 is 1

2. Where do I get the detailed procedure to find GCD of 74, 462, 731, 263?

You can find a detailed procedure to find GCD of 74, 462, 731, 263 on our page.

3. How to find GCD of 74, 462, 731, 263 on a calculator?

You can find the GCD of 74, 462, 731, 263 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.