GCD of 402, 562, 356, 342 Calculator

Given Input numbers are 402, 562, 356, 342

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 562 :

The positive integer divisors of 562 that completely divides 562 are.

1, 2, 281, 562

Divisors of 356 :

The positive integer divisors of 356 that completely divides 356 are.

1, 2, 4, 89, 178, 356

Divisors of 342 :

The positive integer divisors of 342 that completely divides 342 are.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

GCD of numbers is the greatest common divisor

So, the GCD (402, 562, 356, 342) = 2.

Given numbers are 402, 562, 356, 342

The list of prime factors of all numbers are

Prime factors of 402 are 2 x 3 x 67

Prime factors of 562 are 2 x 281

Prime factors of 356 are 2 x 2 x 89

Prime factors of 342 are 2 x 3 x 3 x 19

The highest common occurrence is 2¹

Therefore, GCD of 402, 562, 356, 342 is 2.

Given numbers are 402, 562, 356, 342

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

Apply this formula for all numbers.

Step1:

LCM(402, 562) = 112962

GCD(402, 562) = ( 402 x 562 ) / 112962

= 402 / 562

= 402

Step2:

LCM(2, 356) = 356

GCD(2, 356) = ( 2 x 356 ) / 356

= 2 / 356

= 2

Step3:

LCM(2, 342) = 342

GCD(2, 342) = ( 2 x 342 ) / 342

= 2 / 342

= 2

So, Greatest Common Divisor of 402, 562, 356, 342 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 307, 266, 796, 583
• GCD of 482, 108, 270, 545
• GCD of 368, 762, 875, 265
• GCD of 747, 148, 908, 259
• GCD of 493, 126, 247, 752

Given numbers are 402, 562, 356, 342
The greatest common divisor of numbers 402, 562, 356, 342 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 402, 562, 356, 342 is 2.

1. What is the GCD of 402, 562, 356, 342?

GCD of given numbers 402, 562, 356, 342 is 2

2. How to calculate the greatest common divisor of 402, 562, 356, 342?

We can find the highest common divisor of 402, 562, 356, 342 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, 562, 356, 342 i.e 2.

3. How can I use the GCD of 402, 562, 356, 342Calculator?

Out the numbers 402, 562, 356, 342 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.