GCD of 233, 780, 974, 691 Calculator

Given Input numbers are 233, 780, 974, 691

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

Divisors of 233

List of positive integer divisors of 233 that divides 233 without a remainder.

1, 233

Divisors of 780

List of positive integer divisors of 780 that divides 780 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

Divisors of 974

List of positive integer divisors of 974 that divides 974 without a remainder.

1, 2, 487, 974

Divisors of 691

List of positive integer divisors of 691 that divides 691 without a remainder.

1, 691

Greatest Common Divisior

We found the divisors of 233, 780, 974, 691 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 233, 780, 974, 691 is 1.

Therefore, GCD of numbers 233, 780, 974, 691 is 1

Given Input Data is 233, 780, 974, 691

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

Prime Factorization of 233 is 233

Prime Factorization of 780 is 2 x 2 x 3 x 5 x 13

Prime Factorization of 974 is 2 x 487

Prime Factorization of 691 is 691

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(233, 780) = 181740

GCD(233, 780) = ( 233 x 780 ) / 181740

GCD(233, 780) = 181740 / 181740

GCD(233, 780) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 974

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

LCM(1, 974) = 974

GCD(1, 974) = ( 1 x 974 ) / 974

GCD(1, 974) = 974 / 974

GCD(1, 974) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 691

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

LCM(1, 691) = 691

GCD(1, 691) = ( 1 x 691 ) / 691

GCD(1, 691) = 691 / 691

GCD(1, 691) = 1

GCD of 233, 780, 974, 691 is 1

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1. What is the GCD of 233, 780, 974, 691?

GCD of 233, 780, 974, 691 is 1

2. Where do I get the detailed procedure to find GCD of 233, 780, 974, 691?

You can find a detailed procedure to find GCD of 233, 780, 974, 691 on our page.

3. How to find GCD of 233, 780, 974, 691 on a calculator?

You can find the GCD of 233, 780, 974, 691 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.