GCD of 767, 610, 772, 458 Calculator

Given Input numbers are 767, 610, 772, 458

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

Divisors of 767

List of positive integer divisors of 767 that divides 767 without a remainder.

1, 13, 59, 767

Divisors of 610

List of positive integer divisors of 610 that divides 610 without a remainder.

1, 2, 5, 10, 61, 122, 305, 610

Divisors of 772

List of positive integer divisors of 772 that divides 772 without a remainder.

1, 2, 4, 193, 386, 772

Divisors of 458

List of positive integer divisors of 458 that divides 458 without a remainder.

1, 2, 229, 458

Greatest Common Divisior

We found the divisors of 767, 610, 772, 458 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 767, 610, 772, 458 is 1.

Therefore, GCD of numbers 767, 610, 772, 458 is 1

Given Input Data is 767, 610, 772, 458

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

Prime Factorization of 767 is 13 x 59

Prime Factorization of 610 is 2 x 5 x 61

Prime Factorization of 772 is 2 x 2 x 193

Prime Factorization of 458 is 2 x 229

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(767, 610) = 467870

GCD(767, 610) = ( 767 x 610 ) / 467870

GCD(767, 610) = 467870 / 467870

GCD(767, 610) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 772

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

LCM(1, 772) = 772

GCD(1, 772) = ( 1 x 772 ) / 772

GCD(1, 772) = 772 / 772

GCD(1, 772) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 458

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

LCM(1, 458) = 458

GCD(1, 458) = ( 1 x 458 ) / 458

GCD(1, 458) = 458 / 458

GCD(1, 458) = 1

GCD of 767, 610, 772, 458 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 144, 512, 642, 657
• GCD of 138, 247, 830, 131
• GCD of 495, 482, 521, 420
• GCD of 624, 437, 525, 318
• GCD of 479, 829, 581, 447

1. What is the GCD of 767, 610, 772, 458?

GCD of 767, 610, 772, 458 is 1

2. Where do I get the detailed procedure to find GCD of 767, 610, 772, 458?

You can find a detailed procedure to find GCD of 767, 610, 772, 458 on our page.

3. How to find GCD of 767, 610, 772, 458 on a calculator?

You can find the GCD of 767, 610, 772, 458 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.