GCD of 152, 598, 320, 820 Calculator

Given Input numbers are 152, 598, 320, 820

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

Divisors of 152 :

The positive integer divisors of 152 that completely divides 152 are.

1, 2, 4, 8, 19, 38, 76, 152

Divisors of 598 :

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

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

Divisors of 320 :

The positive integer divisors of 320 that completely divides 320 are.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

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

GCD of numbers is the greatest common divisor

So, the GCD (152, 598, 320, 820) = 2.

Given numbers are 152, 598, 320, 820

The list of prime factors of all numbers are

Prime factors of 152 are 2 x 2 x 2 x 19

Prime factors of 598 are 2 x 13 x 23

Prime factors of 320 are 2 x 2 x 2 x 2 x 2 x 2 x 5

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

The highest common occurrence is 2¹

Therefore, GCD of 152, 598, 320, 820 is 2.

Given numbers are 152, 598, 320, 820

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

Apply this formula for all numbers.

Step1:

LCM(152, 598) = 45448

GCD(152, 598) = ( 152 x 598 ) / 45448

= 152 / 598

= 152

Step2:

LCM(2, 320) = 320

GCD(2, 320) = ( 2 x 320 ) / 320

= 2 / 320

= 2

Step3:

LCM(2, 820) = 820

GCD(2, 820) = ( 2 x 820 ) / 820

= 2 / 820

= 2

So, Greatest Common Divisor of 152, 598, 320, 820 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 595, 642, 403, 841
• GCD of 392, 980, 102, 288
• GCD of 519, 817, 526, 232
• GCD of 156, 513, 422, 779
• GCD of 299, 937, 224, 565

Given numbers are 152, 598, 320, 820
The greatest common divisor of numbers 152, 598, 320, 820 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 152, 598, 320, 820 is 2.

1. What is the GCD of 152, 598, 320, 820?

GCD of given numbers 152, 598, 320, 820 is 2

2. How to calculate the greatest common divisor of 152, 598, 320, 820?

We can find the highest common divisor of 152, 598, 320, 820 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 152, 598, 320, 820 i.e 2.

3. How can I use the GCD of 152, 598, 320, 820Calculator?

Out the numbers 152, 598, 320, 820 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.