GCD of 118, 412, 652, 406 Calculator

Given Input numbers are 118, 412, 652, 406

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

Divisors of 118 :

The positive integer divisors of 118 that completely divides 118 are.

1, 2, 59, 118

Divisors of 412 :

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

1, 2, 4, 103, 206, 412

Divisors of 652 :

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

1, 2, 4, 163, 326, 652

Divisors of 406 :

The positive integer divisors of 406 that completely divides 406 are.

1, 2, 7, 14, 29, 58, 203, 406

GCD of numbers is the greatest common divisor

So, the GCD (118, 412, 652, 406) = 2.

Given numbers are 118, 412, 652, 406

The list of prime factors of all numbers are

Prime factors of 118 are 2 x 59

Prime factors of 412 are 2 x 2 x 103

Prime factors of 652 are 2 x 2 x 163

Prime factors of 406 are 2 x 7 x 29

The highest common occurrence is 2¹

Therefore, GCD of 118, 412, 652, 406 is 2.

Given numbers are 118, 412, 652, 406

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

Apply this formula for all numbers.

Step1:

LCM(118, 412) = 24308

GCD(118, 412) = ( 118 x 412 ) / 24308

= 118 / 412

= 118

Step2:

LCM(2, 652) = 652

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

= 2 / 652

= 2

Step3:

LCM(2, 406) = 406

GCD(2, 406) = ( 2 x 406 ) / 406

= 2 / 406

= 2

So, Greatest Common Divisor of 118, 412, 652, 406 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 776, 575, 317, 428
• GCD of 823, 957, 731, 813
• GCD of 235, 136, 557, 707
• GCD of 984, 615, 978, 242
• GCD of 902, 503, 832, 331

Given numbers are 118, 412, 652, 406
The greatest common divisor of numbers 118, 412, 652, 406 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 118, 412, 652, 406 is 2.

1. What is the GCD of 118, 412, 652, 406?

GCD of given numbers 118, 412, 652, 406 is 2

2. How to calculate the greatest common divisor of 118, 412, 652, 406?

We can find the highest common divisor of 118, 412, 652, 406 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 118, 412, 652, 406 i.e 2.

3. How can I use the GCD of 118, 412, 652, 406Calculator?

Out the numbers 118, 412, 652, 406 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.