GCD of 972, 196, 406, 352 Calculator

Given Input numbers are 972, 196, 406, 352

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 196 :

The positive integer divisors of 196 that completely divides 196 are.

1, 2, 4, 7, 14, 28, 49, 98, 196

Divisors of 406 :

The positive integer divisors of 406 that completely divides 406 are.

1, 2, 7, 14, 29, 58, 203, 406

Divisors of 352 :

The positive integer divisors of 352 that completely divides 352 are.

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

GCD of numbers is the greatest common divisor

So, the GCD (972, 196, 406, 352) = 2.

Given numbers are 972, 196, 406, 352

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 196 are 2 x 2 x 7 x 7

Prime factors of 406 are 2 x 7 x 29

Prime factors of 352 are 2 x 2 x 2 x 2 x 2 x 11

The highest common occurrence is 2¹

Therefore, GCD of 972, 196, 406, 352 is 2.

Given numbers are 972, 196, 406, 352

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

Apply this formula for all numbers.

Step1:

LCM(972, 196) = 47628

GCD(972, 196) = ( 972 x 196 ) / 47628

= 972 / 196

= 972

Step2:

LCM(4, 406) = 812

GCD(4, 406) = ( 4 x 406 ) / 812

= 4 / 406

= 4

Step3:

LCM(2, 352) = 352

GCD(2, 352) = ( 2 x 352 ) / 352

= 2 / 352

= 2

So, Greatest Common Divisor of 972, 196, 406, 352 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 741, 870, 815, 108
• GCD of 696, 207, 228, 331
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Given numbers are 972, 196, 406, 352
The greatest common divisor of numbers 972, 196, 406, 352 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 972, 196, 406, 352 is 2.

1. What is the GCD of 972, 196, 406, 352?

GCD of given numbers 972, 196, 406, 352 is 2

2. How to calculate the greatest common divisor of 972, 196, 406, 352?

We can find the highest common divisor of 972, 196, 406, 352 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, 196, 406, 352 i.e 2.

3. How can I use the GCD of 972, 196, 406, 352Calculator?

Out the numbers 972, 196, 406, 352 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.