GCD of 354, 258, 636, 214 Calculator

Given Input numbers are 354, 258, 636, 214

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 258 :

The positive integer divisors of 258 that completely divides 258 are.

1, 2, 3, 6, 43, 86, 129, 258

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 214 :

The positive integer divisors of 214 that completely divides 214 are.

1, 2, 107, 214

GCD of numbers is the greatest common divisor

So, the GCD (354, 258, 636, 214) = 2.

Given numbers are 354, 258, 636, 214

The list of prime factors of all numbers are

Prime factors of 354 are 2 x 3 x 59

Prime factors of 258 are 2 x 3 x 43

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

Prime factors of 214 are 2 x 107

The highest common occurrence is 2¹

Therefore, GCD of 354, 258, 636, 214 is 2.

Given numbers are 354, 258, 636, 214

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

Apply this formula for all numbers.

Step1:

LCM(354, 258) = 15222

GCD(354, 258) = ( 354 x 258 ) / 15222

= 354 / 258

= 354

Step2:

LCM(6, 636) = 636

GCD(6, 636) = ( 6 x 636 ) / 636

= 6 / 636

= 6

Step3:

LCM(6, 214) = 642

GCD(6, 214) = ( 6 x 214 ) / 642

= 6 / 214

= 6

So, Greatest Common Divisor of 354, 258, 636, 214 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 238, 972, 613, 739
• GCD of 624, 776, 994, 495
• GCD of 424, 984, 961, 443
• GCD of 813, 402, 783, 469
• GCD of 190, 169, 602, 585

Given numbers are 354, 258, 636, 214
The greatest common divisor of numbers 354, 258, 636, 214 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 354, 258, 636, 214 is 2.

1. What is the GCD of 354, 258, 636, 214?

GCD of given numbers 354, 258, 636, 214 is 2

2. How to calculate the greatest common divisor of 354, 258, 636, 214?

We can find the highest common divisor of 354, 258, 636, 214 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, 258, 636, 214 i.e 2.

3. How can I use the GCD of 354, 258, 636, 214Calculator?

Out the numbers 354, 258, 636, 214 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.