GCD of 354, 636, 706, 126 Calculator

Given Input numbers are 354, 636, 706, 126

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

Divisors of 354 :

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

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

Divisors of 636 :

The positive integer divisors of 636 that completely divides 636 are.

1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636

Divisors of 706 :

The positive integer divisors of 706 that completely divides 706 are.

1, 2, 353, 706

Divisors of 126 :

The positive integer divisors of 126 that completely divides 126 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

GCD of numbers is the greatest common divisor

So, the GCD (354, 636, 706, 126) = 2.

Given numbers are 354, 636, 706, 126

The list of prime factors of all numbers are

Prime factors of 354 are 2 x 3 x 59

Prime factors of 636 are 2 x 2 x 3 x 53

Prime factors of 706 are 2 x 353

Prime factors of 126 are 2 x 3 x 3 x 7

The highest common occurrence is 2¹

Therefore, GCD of 354, 636, 706, 126 is 2.

Given numbers are 354, 636, 706, 126

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

Apply this formula for all numbers.

Step1:

LCM(354, 636) = 37524

GCD(354, 636) = ( 354 x 636 ) / 37524

= 354 / 636

= 354

Step2:

LCM(6, 706) = 2118

GCD(6, 706) = ( 6 x 706 ) / 2118

= 6 / 706

= 6

Step3:

LCM(2, 126) = 126

GCD(2, 126) = ( 2 x 126 ) / 126

= 2 / 126

= 2

So, Greatest Common Divisor of 354, 636, 706, 126 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 286, 527, 248, 553
• GCD of 182, 945, 538, 831
• GCD of 758, 486, 813, 536
• GCD of 943, 105, 306, 694
• GCD of 280, 718, 469, 318

Given numbers are 354, 636, 706, 126
The greatest common divisor of numbers 354, 636, 706, 126 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 354, 636, 706, 126 is 2.

1. What is the GCD of 354, 636, 706, 126?

GCD of given numbers 354, 636, 706, 126 is 2

2. How to calculate the greatest common divisor of 354, 636, 706, 126?

We can find the highest common divisor of 354, 636, 706, 126 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 354, 636, 706, 126 i.e 2.

3. How can I use the GCD of 354, 636, 706, 126Calculator?

Out the numbers 354, 636, 706, 126 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.