GCD of 598, 702, 820, 108 Calculator

Given Input numbers are 598, 702, 820, 108

In the factoring method, we have to find the divisors of all numbers

Divisors of 598 :

The positive integer divisors of 598 that completely divides 598 are.

1, 2, 13, 23, 26, 46, 299, 598

Divisors of 702 :

The positive integer divisors of 702 that completely divides 702 are.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

Divisors of 820 :

The positive integer divisors of 820 that completely divides 820 are.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

Divisors of 108 :

The positive integer divisors of 108 that completely divides 108 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

GCD of numbers is the greatest common divisor

So, the GCD (598, 702, 820, 108) = 2.

Given numbers are 598, 702, 820, 108

The list of prime factors of all numbers are

Prime factors of 598 are 2 x 13 x 23

Prime factors of 702 are 2 x 3 x 3 x 3 x 13

Prime factors of 820 are 2 x 2 x 5 x 41

Prime factors of 108 are 2 x 2 x 3 x 3 x 3

The highest common occurrence is 2¹

Therefore, GCD of 598, 702, 820, 108 is 2.

Given numbers are 598, 702, 820, 108

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(598, 702) = 16146

GCD(598, 702) = ( 598 x 702 ) / 16146

= 598 / 702

= 598

Step2:

LCM(26, 820) = 10660

GCD(26, 820) = ( 26 x 820 ) / 10660

= 26 / 820

= 26

Step3:

LCM(2, 108) = 108

GCD(2, 108) = ( 2 x 108 ) / 108

= 2 / 108

= 2

So, Greatest Common Divisor of 598, 702, 820, 108 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 764, 642, 756, 275
• GCD of 119, 983, 939, 269
• GCD of 831, 913, 358, 136
• GCD of 887, 207, 599, 339
• GCD of 830, 540, 348, 334

Given numbers are 598, 702, 820, 108
The greatest common divisor of numbers 598, 702, 820, 108 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 598, 702, 820, 108 is 2.

1. What is the GCD of 598, 702, 820, 108?

GCD of given numbers 598, 702, 820, 108 is 2

2. How to calculate the greatest common divisor of 598, 702, 820, 108?

We can find the highest common divisor of 598, 702, 820, 108 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 598, 702, 820, 108 i.e 2.

3. How can I use the GCD of 598, 702, 820, 108Calculator?

Out the numbers 598, 702, 820, 108 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.