GCD of 106, 354, 402, 756 Calculator

Given Input numbers are 106, 354, 402, 756

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

Divisors of 106 :

The positive integer divisors of 106 that completely divides 106 are.

1, 2, 53, 106

Divisors of 354 :

The positive integer divisors of 354 that completely divides 354 are.

1, 2, 3, 6, 59, 118, 177, 354

Divisors of 402 :

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

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

Divisors of 756 :

The positive integer divisors of 756 that completely divides 756 are.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

GCD of numbers is the greatest common divisor

So, the GCD (106, 354, 402, 756) = 2.

Given numbers are 106, 354, 402, 756

The list of prime factors of all numbers are

Prime factors of 106 are 2 x 53

Prime factors of 354 are 2 x 3 x 59

Prime factors of 402 are 2 x 3 x 67

Prime factors of 756 are 2 x 2 x 3 x 3 x 3 x 7

The highest common occurrence is 2¹

Therefore, GCD of 106, 354, 402, 756 is 2.

Given numbers are 106, 354, 402, 756

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

Apply this formula for all numbers.

Step1:

LCM(106, 354) = 18762

GCD(106, 354) = ( 106 x 354 ) / 18762

= 106 / 354

= 106

Step2:

LCM(2, 402) = 402

GCD(2, 402) = ( 2 x 402 ) / 402

= 2 / 402

= 2

Step3:

LCM(2, 756) = 756

GCD(2, 756) = ( 2 x 756 ) / 756

= 2 / 756

= 2

So, Greatest Common Divisor of 106, 354, 402, 756 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 334, 928, 244, 701
• GCD of 262, 142, 264, 237
• GCD of 753, 533, 906, 601
• GCD of 186, 670, 330, 819
• GCD of 779, 715, 762, 846

Given numbers are 106, 354, 402, 756
The greatest common divisor of numbers 106, 354, 402, 756 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 106, 354, 402, 756 is 2.

1. What is the GCD of 106, 354, 402, 756?

GCD of given numbers 106, 354, 402, 756 is 2

2. How to calculate the greatest common divisor of 106, 354, 402, 756?

We can find the highest common divisor of 106, 354, 402, 756 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 106, 354, 402, 756 i.e 2.

3. How can I use the GCD of 106, 354, 402, 756Calculator?

Out the numbers 106, 354, 402, 756 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.