GCD of 972, 152, 210, 890 Calculator

Given Input numbers are 972, 152, 210, 890

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 152 :

The positive integer divisors of 152 that completely divides 152 are.

1, 2, 4, 8, 19, 38, 76, 152

Divisors of 210 :

The positive integer divisors of 210 that completely divides 210 are.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

Divisors of 890 :

The positive integer divisors of 890 that completely divides 890 are.

1, 2, 5, 10, 89, 178, 445, 890

GCD of numbers is the greatest common divisor

So, the GCD (972, 152, 210, 890) = 2.

Given numbers are 972, 152, 210, 890

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 152 are 2 x 2 x 2 x 19

Prime factors of 210 are 2 x 3 x 5 x 7

Prime factors of 890 are 2 x 5 x 89

The highest common occurrence is 2¹

Therefore, GCD of 972, 152, 210, 890 is 2.

Given numbers are 972, 152, 210, 890

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

Apply this formula for all numbers.

Step1:

LCM(972, 152) = 36936

GCD(972, 152) = ( 972 x 152 ) / 36936

= 972 / 152

= 972

Step2:

LCM(4, 210) = 420

GCD(4, 210) = ( 4 x 210 ) / 420

= 4 / 210

= 4

Step3:

LCM(2, 890) = 890

GCD(2, 890) = ( 2 x 890 ) / 890

= 2 / 890

= 2

So, Greatest Common Divisor of 972, 152, 210, 890 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 878, 609, 130, 947
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Given numbers are 972, 152, 210, 890
The greatest common divisor of numbers 972, 152, 210, 890 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 972, 152, 210, 890 is 2.

1. What is the GCD of 972, 152, 210, 890?

GCD of given numbers 972, 152, 210, 890 is 2

2. How to calculate the greatest common divisor of 972, 152, 210, 890?

We can find the highest common divisor of 972, 152, 210, 890 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, 152, 210, 890 i.e 2.

3. How can I use the GCD of 972, 152, 210, 890Calculator?

Out the numbers 972, 152, 210, 890 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.