GCD of 402, 132, 632, 558 Calculator

Given Input numbers are 402, 132, 632, 558

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

Divisors of 402 :

The positive integer divisors of 402 that completely divides 402 are.

1, 2, 3, 6, 67, 134, 201, 402

Divisors of 132 :

The positive integer divisors of 132 that completely divides 132 are.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

Divisors of 632 :

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

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

Divisors of 558 :

The positive integer divisors of 558 that completely divides 558 are.

1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558

GCD of numbers is the greatest common divisor

So, the GCD (402, 132, 632, 558) = 2.

Given numbers are 402, 132, 632, 558

The list of prime factors of all numbers are

Prime factors of 402 are 2 x 3 x 67

Prime factors of 132 are 2 x 2 x 3 x 11

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

Prime factors of 558 are 2 x 3 x 3 x 31

The highest common occurrence is 2¹

Therefore, GCD of 402, 132, 632, 558 is 2.

Given numbers are 402, 132, 632, 558

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

Apply this formula for all numbers.

Step1:

LCM(402, 132) = 8844

GCD(402, 132) = ( 402 x 132 ) / 8844

= 402 / 132

= 402

Step2:

LCM(6, 632) = 1896

GCD(6, 632) = ( 6 x 632 ) / 1896

= 6 / 632

= 6

Step3:

LCM(2, 558) = 558

GCD(2, 558) = ( 2 x 558 ) / 558

= 2 / 558

= 2

So, Greatest Common Divisor of 402, 132, 632, 558 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 726, 638, 987, 691
• GCD of 178, 312, 313, 594
• GCD of 723, 272, 629, 137
• GCD of 293, 894, 602, 677
• GCD of 681, 113, 141, 705

Given numbers are 402, 132, 632, 558
The greatest common divisor of numbers 402, 132, 632, 558 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 402, 132, 632, 558 is 2.

1. What is the GCD of 402, 132, 632, 558?

GCD of given numbers 402, 132, 632, 558 is 2

2. How to calculate the greatest common divisor of 402, 132, 632, 558?

We can find the highest common divisor of 402, 132, 632, 558 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 402, 132, 632, 558 i.e 2.

3. How can I use the GCD of 402, 132, 632, 558Calculator?

Out the numbers 402, 132, 632, 558 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.