GCD of 972, 896, 990, 214 Calculator

Given Input numbers are 972, 896, 990, 214

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

Divisors of 972 :

The positive integer divisors of 972 that completely divides 972 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

Divisors of 896 :

The positive integer divisors of 896 that completely divides 896 are.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896

Divisors of 990 :

The positive integer divisors of 990 that completely divides 990 are.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

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 (972, 896, 990, 214) = 2.

Given numbers are 972, 896, 990, 214

The list of prime factors of all numbers are

Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3

Prime factors of 896 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7

Prime factors of 990 are 2 x 3 x 3 x 5 x 11

Prime factors of 214 are 2 x 107

The highest common occurrence is 2¹

Therefore, GCD of 972, 896, 990, 214 is 2.

Given numbers are 972, 896, 990, 214

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

Apply this formula for all numbers.

Step1:

LCM(972, 896) = 217728

GCD(972, 896) = ( 972 x 896 ) / 217728

= 972 / 896

= 972

Step2:

LCM(4, 990) = 1980

GCD(4, 990) = ( 4 x 990 ) / 1980

= 4 / 990

= 4

Step3:

LCM(2, 214) = 214

GCD(2, 214) = ( 2 x 214 ) / 214

= 2 / 214

= 2

So, Greatest Common Divisor of 972, 896, 990, 214 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 815, 186, 553, 479
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• GCD of 985, 847, 133, 703
• GCD of 677, 917, 243, 866
• GCD of 885, 521, 850, 456

Given numbers are 972, 896, 990, 214
The greatest common divisor of numbers 972, 896, 990, 214 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 972, 896, 990, 214 is 2.

1. What is the GCD of 972, 896, 990, 214?

GCD of given numbers 972, 896, 990, 214 is 2

2. How to calculate the greatest common divisor of 972, 896, 990, 214?

We can find the highest common divisor of 972, 896, 990, 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 972, 896, 990, 214 i.e 2.

3. How can I use the GCD of 972, 896, 990, 214Calculator?

Out the numbers 972, 896, 990, 214 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.