GCD of 74, 693, 790, 461 Calculator

Given Input numbers are 74, 693, 790, 461

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 693

List of positive integer divisors of 693 that divides 693 without a remainder.

1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693

Divisors of 790

List of positive integer divisors of 790 that divides 790 without a remainder.

1, 2, 5, 10, 79, 158, 395, 790

Divisors of 461

List of positive integer divisors of 461 that divides 461 without a remainder.

1, 461

Greatest Common Divisior

We found the divisors of 74, 693, 790, 461 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 74, 693, 790, 461 is 1.

Therefore, GCD of numbers 74, 693, 790, 461 is 1

Given Input Data is 74, 693, 790, 461

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

Prime Factorization of 74 is 2 x 37

Prime Factorization of 693 is 3 x 3 x 7 x 11

Prime Factorization of 790 is 2 x 5 x 79

Prime Factorization of 461 is 461

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, 693) = 51282

GCD(74, 693) = ( 74 x 693 ) / 51282

GCD(74, 693) = 51282 / 51282

GCD(74, 693) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 790

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

LCM(1, 790) = 790

GCD(1, 790) = ( 1 x 790 ) / 790

GCD(1, 790) = 790 / 790

GCD(1, 790) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 461

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

LCM(1, 461) = 461

GCD(1, 461) = ( 1 x 461 ) / 461

GCD(1, 461) = 461 / 461

GCD(1, 461) = 1

GCD of 74, 693, 790, 461 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 88, 250, 869, 209
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• GCD of 23, 551, 888, 674
• GCD of 98, 647, 925, 615
• GCD of 16, 913, 496, 645

1. What is the GCD of 74, 693, 790, 461?

GCD of 74, 693, 790, 461 is 1

2. Where do I get the detailed procedure to find GCD of 74, 693, 790, 461?

You can find a detailed procedure to find GCD of 74, 693, 790, 461 on our page.

3. How to find GCD of 74, 693, 790, 461 on a calculator?

You can find the GCD of 74, 693, 790, 461 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.