GCD of 356, 708, 249, 214 Calculator

Given Input numbers are 356, 708, 249, 214

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

Divisors of 356 :

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

1, 2, 4, 89, 178, 356

Divisors of 708 :

The positive integer divisors of 708 that completely divides 708 are.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

Divisors of 249 :

The positive integer divisors of 249 that completely divides 249 are.

1, 3, 83, 249

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 (356, 708, 249, 214) = 1.

Given numbers are 356, 708, 249, 214

The list of prime factors of all numbers are

Prime factors of 356 are 2 x 2 x 89

Prime factors of 708 are 2 x 2 x 3 x 59

Prime factors of 249 are 3 x 83

Prime factors of 214 are 2 x 107

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 356, 708, 249, 214

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

Apply this formula for all numbers.

Step1:

LCM(356, 708) = 63012

GCD(356, 708) = ( 356 x 708 ) / 63012

= 356 / 708

= 356

Step2:

LCM(4, 249) = 996

GCD(4, 249) = ( 4 x 249 ) / 996

= 4 / 249

= 4

Step3:

LCM(1, 214) = 214

GCD(1, 214) = ( 1 x 214 ) / 214

= 1 / 214

= 1

So, Greatest Common Divisor of 356, 708, 249, 214 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 578, 620, 411, 490
• GCD of 136, 236, 125, 971
• GCD of 242, 604, 184, 810
• GCD of 485, 805, 527, 505
• GCD of 313, 337, 196, 497

Given numbers are 356, 708, 249, 214
The greatest common divisor of numbers 356, 708, 249, 214 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 356, 708, 249, 214 is 1.

1. What is the GCD of 356, 708, 249, 214?

GCD of given numbers 356, 708, 249, 214 is 1

2. How to calculate the greatest common divisor of 356, 708, 249, 214?

We can find the highest common divisor of 356, 708, 249, 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 356, 708, 249, 214 i.e 1.

3. How can I use the GCD of 356, 708, 249, 214Calculator?

Out the numbers 356, 708, 249, 214 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.