GCD of 689, 584, 98, 736 Calculator

Given Input numbers are 689, 584, 98, 736

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

Divisors of 689

List of positive integer divisors of 689 that divides 689 without a remainder.

1, 13, 53, 689

Divisors of 584

List of positive integer divisors of 584 that divides 584 without a remainder.

1, 2, 4, 8, 73, 146, 292, 584

Divisors of 98

List of positive integer divisors of 98 that divides 98 without a remainder.

1, 2, 7, 14, 49, 98

Divisors of 736

List of positive integer divisors of 736 that divides 736 without a remainder.

1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

Greatest Common Divisior

We found the divisors of 689, 584, 98, 736 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 689, 584, 98, 736 is 1.

Therefore, GCD of numbers 689, 584, 98, 736 is 1

Given Input Data is 689, 584, 98, 736

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

Prime Factorization of 689 is 13 x 53

Prime Factorization of 584 is 2 x 2 x 2 x 73

Prime Factorization of 98 is 2 x 7 x 7

Prime Factorization of 736 is 2 x 2 x 2 x 2 x 2 x 23

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(689, 584) = 402376

GCD(689, 584) = ( 689 x 584 ) / 402376

GCD(689, 584) = 402376 / 402376

GCD(689, 584) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 98

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

LCM(1, 98) = 98

GCD(1, 98) = ( 1 x 98 ) / 98

GCD(1, 98) = 98 / 98

GCD(1, 98) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 736

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

LCM(1, 736) = 736

GCD(1, 736) = ( 1 x 736 ) / 736

GCD(1, 736) = 736 / 736

GCD(1, 736) = 1

GCD of 689, 584, 98, 736 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 432, 906, 32, 237
• GCD of 317, 211, 65, 454
• GCD of 633, 660, 91, 814
• GCD of 591, 520, 22, 435
• GCD of 271, 918, 84, 737

1. What is the GCD of 689, 584, 98, 736?

GCD of 689, 584, 98, 736 is 1

2. Where do I get the detailed procedure to find GCD of 689, 584, 98, 736?

You can find a detailed procedure to find GCD of 689, 584, 98, 736 on our page.

3. How to find GCD of 689, 584, 98, 736 on a calculator?

You can find the GCD of 689, 584, 98, 736 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.