GCD of 152, 196, 582, 828 Calculator

Given Input numbers are 152, 196, 582, 828

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 196 :

The positive integer divisors of 196 that completely divides 196 are.

1, 2, 4, 7, 14, 28, 49, 98, 196

Divisors of 582 :

The positive integer divisors of 582 that completely divides 582 are.

1, 2, 3, 6, 97, 194, 291, 582

Divisors of 828 :

The positive integer divisors of 828 that completely divides 828 are.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

GCD of numbers is the greatest common divisor

So, the GCD (152, 196, 582, 828) = 2.

Given numbers are 152, 196, 582, 828

The list of prime factors of all numbers are

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

Prime factors of 196 are 2 x 2 x 7 x 7

Prime factors of 582 are 2 x 3 x 97

Prime factors of 828 are 2 x 2 x 3 x 3 x 23

The highest common occurrence is 2¹

Therefore, GCD of 152, 196, 582, 828 is 2.

Given numbers are 152, 196, 582, 828

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

Apply this formula for all numbers.

Step1:

LCM(152, 196) = 7448

GCD(152, 196) = ( 152 x 196 ) / 7448

= 152 / 196

= 152

Step2:

LCM(4, 582) = 1164

GCD(4, 582) = ( 4 x 582 ) / 1164

= 4 / 582

= 4

Step3:

LCM(2, 828) = 828

GCD(2, 828) = ( 2 x 828 ) / 828

= 2 / 828

= 2

So, Greatest Common Divisor of 152, 196, 582, 828 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 839, 480, 405, 389
• GCD of 297, 543, 704, 123
• GCD of 305, 210, 419, 145
• GCD of 891, 615, 285, 580
• GCD of 603, 542, 427, 560

Given numbers are 152, 196, 582, 828
The greatest common divisor of numbers 152, 196, 582, 828 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 152, 196, 582, 828 is 2.

1. What is the GCD of 152, 196, 582, 828?

GCD of given numbers 152, 196, 582, 828 is 2

2. How to calculate the greatest common divisor of 152, 196, 582, 828?

We can find the highest common divisor of 152, 196, 582, 828 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, 196, 582, 828 i.e 2.

3. How can I use the GCD of 152, 196, 582, 828Calculator?

Out the numbers 152, 196, 582, 828 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.