GCD of 408, 742, 312, 652 Calculator

Given Input numbers are 408, 742, 312, 652

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

Divisors of 408 :

The positive integer divisors of 408 that completely divides 408 are.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

Divisors of 742 :

The positive integer divisors of 742 that completely divides 742 are.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 312 :

The positive integer divisors of 312 that completely divides 312 are.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Divisors of 652 :

The positive integer divisors of 652 that completely divides 652 are.

1, 2, 4, 163, 326, 652

GCD of numbers is the greatest common divisor

So, the GCD (408, 742, 312, 652) = 2.

Given numbers are 408, 742, 312, 652

The list of prime factors of all numbers are

Prime factors of 408 are 2 x 2 x 2 x 3 x 17

Prime factors of 742 are 2 x 7 x 53

Prime factors of 312 are 2 x 2 x 2 x 3 x 13

Prime factors of 652 are 2 x 2 x 163

The highest common occurrence is 2¹

Therefore, GCD of 408, 742, 312, 652 is 2.

Given numbers are 408, 742, 312, 652

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

Apply this formula for all numbers.

Step1:

LCM(408, 742) = 151368

GCD(408, 742) = ( 408 x 742 ) / 151368

= 408 / 742

= 408

Step2:

LCM(2, 312) = 312

GCD(2, 312) = ( 2 x 312 ) / 312

= 2 / 312

= 2

Step3:

LCM(2, 652) = 652

GCD(2, 652) = ( 2 x 652 ) / 652

= 2 / 652

= 2

So, Greatest Common Divisor of 408, 742, 312, 652 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 129, 262, 706, 642
• GCD of 562, 896, 823, 659
• GCD of 297, 539, 595, 816
• GCD of 722, 513, 119, 136
• GCD of 447, 948, 461, 234

Given numbers are 408, 742, 312, 652
The greatest common divisor of numbers 408, 742, 312, 652 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 408, 742, 312, 652 is 2.

1. What is the GCD of 408, 742, 312, 652?

GCD of given numbers 408, 742, 312, 652 is 2

2. How to calculate the greatest common divisor of 408, 742, 312, 652?

We can find the highest common divisor of 408, 742, 312, 652 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 408, 742, 312, 652 i.e 2.

3. How can I use the GCD of 408, 742, 312, 652Calculator?

Out the numbers 408, 742, 312, 652 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.