GCD of 753, 776, 60, 658 Calculator

Given Input numbers are 753, 776, 60, 658

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

Divisors of 753

List of positive integer divisors of 753 that divides 753 without a remainder.

1, 3, 251, 753

Divisors of 776

List of positive integer divisors of 776 that divides 776 without a remainder.

1, 2, 4, 8, 97, 194, 388, 776

Divisors of 60

List of positive integer divisors of 60 that divides 60 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

Divisors of 658

List of positive integer divisors of 658 that divides 658 without a remainder.

1, 2, 7, 14, 47, 94, 329, 658

Greatest Common Divisior

We found the divisors of 753, 776, 60, 658 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 753, 776, 60, 658 is 1.

Therefore, GCD of numbers 753, 776, 60, 658 is 1

Given Input Data is 753, 776, 60, 658

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

Prime Factorization of 753 is 3 x 251

Prime Factorization of 776 is 2 x 2 x 2 x 97

Prime Factorization of 60 is 2 x 2 x 3 x 5

Prime Factorization of 658 is 2 x 7 x 47

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(753, 776) = 584328

GCD(753, 776) = ( 753 x 776 ) / 584328

GCD(753, 776) = 584328 / 584328

GCD(753, 776) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 60

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

LCM(1, 60) = 60

GCD(1, 60) = ( 1 x 60 ) / 60

GCD(1, 60) = 60 / 60

GCD(1, 60) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 658

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

LCM(1, 658) = 658

GCD(1, 658) = ( 1 x 658 ) / 658

GCD(1, 658) = 658 / 658

GCD(1, 658) = 1

GCD of 753, 776, 60, 658 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 301, 698, 69, 529
• GCD of 642, 539, 51, 321
• GCD of 754, 759, 11, 404
• GCD of 421, 553, 96, 658
• GCD of 807, 460, 39, 293

1. What is the GCD of 753, 776, 60, 658?

GCD of 753, 776, 60, 658 is 1

2. Where do I get the detailed procedure to find GCD of 753, 776, 60, 658?

You can find a detailed procedure to find GCD of 753, 776, 60, 658 on our page.

3. How to find GCD of 753, 776, 60, 658 on a calculator?

You can find the GCD of 753, 776, 60, 658 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.