GCD of 759, 998, 77, 642 Calculator

Given Input numbers are 759, 998, 77, 642

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

Divisors of 759

List of positive integer divisors of 759 that divides 759 without a remainder.

1, 3, 11, 23, 33, 69, 253, 759

Divisors of 998

List of positive integer divisors of 998 that divides 998 without a remainder.

1, 2, 499, 998

Divisors of 77

List of positive integer divisors of 77 that divides 77 without a remainder.

1, 7, 11, 77

Divisors of 642

List of positive integer divisors of 642 that divides 642 without a remainder.

1, 2, 3, 6, 107, 214, 321, 642

Greatest Common Divisior

We found the divisors of 759, 998, 77, 642 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 759, 998, 77, 642 is 1.

Therefore, GCD of numbers 759, 998, 77, 642 is 1

Given Input Data is 759, 998, 77, 642

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

Prime Factorization of 759 is 3 x 11 x 23

Prime Factorization of 998 is 2 x 499

Prime Factorization of 77 is 7 x 11

Prime Factorization of 642 is 2 x 3 x 107

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(759, 998) = 757482

GCD(759, 998) = ( 759 x 998 ) / 757482

GCD(759, 998) = 757482 / 757482

GCD(759, 998) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 77

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

LCM(1, 77) = 77

GCD(1, 77) = ( 1 x 77 ) / 77

GCD(1, 77) = 77 / 77

GCD(1, 77) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 642

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

LCM(1, 642) = 642

GCD(1, 642) = ( 1 x 642 ) / 642

GCD(1, 642) = 642 / 642

GCD(1, 642) = 1

GCD of 759, 998, 77, 642 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 205, 182, 83, 690
• GCD of 711, 677, 52, 839
• GCD of 628, 844, 16, 563
• GCD of 924, 988, 12, 729
• GCD of 184, 608, 54, 917

1. What is the GCD of 759, 998, 77, 642?

GCD of 759, 998, 77, 642 is 1

2. Where do I get the detailed procedure to find GCD of 759, 998, 77, 642?

You can find a detailed procedure to find GCD of 759, 998, 77, 642 on our page.

3. How to find GCD of 759, 998, 77, 642 on a calculator?

You can find the GCD of 759, 998, 77, 642 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.