GCD of 212, 980, 216, 354 Calculator

Given Input numbers are 212, 980, 216, 354

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

Divisors of 212 :

The positive integer divisors of 212 that completely divides 212 are.

1, 2, 4, 53, 106, 212

Divisors of 980 :

The positive integer divisors of 980 that completely divides 980 are.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980

Divisors of 216 :

The positive integer divisors of 216 that completely divides 216 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

Divisors of 354 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (212, 980, 216, 354) = 2.

Given numbers are 212, 980, 216, 354

The list of prime factors of all numbers are

Prime factors of 212 are 2 x 2 x 53

Prime factors of 980 are 2 x 2 x 5 x 7 x 7

Prime factors of 216 are 2 x 2 x 2 x 3 x 3 x 3

Prime factors of 354 are 2 x 3 x 59

The highest common occurrence is 2¹

Therefore, GCD of 212, 980, 216, 354 is 2.

Given numbers are 212, 980, 216, 354

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

Apply this formula for all numbers.

Step1:

LCM(212, 980) = 51940

GCD(212, 980) = ( 212 x 980 ) / 51940

= 212 / 980

= 212

Step2:

LCM(4, 216) = 216

GCD(4, 216) = ( 4 x 216 ) / 216

= 4 / 216

= 4

Step3:

LCM(4, 354) = 708

GCD(4, 354) = ( 4 x 354 ) / 708

= 4 / 354

= 4

So, Greatest Common Divisor of 212, 980, 216, 354 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 885, 992, 572, 968
• GCD of 539, 372, 484, 657
• GCD of 885, 745, 723, 819
• GCD of 796, 359, 506, 816
• GCD of 345, 846, 676, 989

Given numbers are 212, 980, 216, 354
The greatest common divisor of numbers 212, 980, 216, 354 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 212, 980, 216, 354 is 2.

1. What is the GCD of 212, 980, 216, 354?

GCD of given numbers 212, 980, 216, 354 is 2

2. How to calculate the greatest common divisor of 212, 980, 216, 354?

We can find the highest common divisor of 212, 980, 216, 354 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 212, 980, 216, 354 i.e 2.

3. How can I use the GCD of 212, 980, 216, 354Calculator?

Out the numbers 212, 980, 216, 354 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.