GCD of 588, 412, 648, 632 Calculator

Given Input numbers are 588, 412, 648, 632

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

Divisors of 588 :

The positive integer divisors of 588 that completely divides 588 are.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

Divisors of 412 :

The positive integer divisors of 412 that completely divides 412 are.

1, 2, 4, 103, 206, 412

Divisors of 648 :

The positive integer divisors of 648 that completely divides 648 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

Divisors of 632 :

The positive integer divisors of 632 that completely divides 632 are.

1, 2, 4, 8, 79, 158, 316, 632

GCD of numbers is the greatest common divisor

So, the GCD (588, 412, 648, 632) = 4.

Given numbers are 588, 412, 648, 632

The list of prime factors of all numbers are

Prime factors of 588 are 2 x 2 x 3 x 7 x 7

Prime factors of 412 are 2 x 2 x 103

Prime factors of 648 are 2 x 2 x 2 x 3 x 3 x 3 x 3

Prime factors of 632 are 2 x 2 x 2 x 79

The highest common occurrence is 2²

Therefore, GCD of 588, 412, 648, 632 is 4.

Given numbers are 588, 412, 648, 632

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

Apply this formula for all numbers.

Step1:

LCM(588, 412) = 60564

GCD(588, 412) = ( 588 x 412 ) / 60564

= 588 / 412

= 588

Step2:

LCM(4, 648) = 648

GCD(4, 648) = ( 4 x 648 ) / 648

= 4 / 648

= 4

Step3:

LCM(4, 632) = 632

GCD(4, 632) = ( 4 x 632 ) / 632

= 4 / 632

= 4

So, Greatest Common Divisor of 588, 412, 648, 632 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 776, 324, 102, 925
• GCD of 200, 419, 365, 559
• GCD of 756, 362, 969, 171
• GCD of 480, 798, 985, 210
• GCD of 624, 137, 212, 147

Given numbers are 588, 412, 648, 632
The greatest common divisor of numbers 588, 412, 648, 632 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 588, 412, 648, 632 is 4.

1. What is the GCD of 588, 412, 648, 632?

GCD of given numbers 588, 412, 648, 632 is 4

2. How to calculate the greatest common divisor of 588, 412, 648, 632?

We can find the highest common divisor of 588, 412, 648, 632 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 588, 412, 648, 632 i.e 4.

3. How can I use the GCD of 588, 412, 648, 632Calculator?

Out the numbers 588, 412, 648, 632 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.