GCD of 212, 874, 842, 972 Calculator

Given Input numbers are 212, 874, 842, 972

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 874 :

The positive integer divisors of 874 that completely divides 874 are.

1, 2, 19, 23, 38, 46, 437, 874

Divisors of 842 :

The positive integer divisors of 842 that completely divides 842 are.

1, 2, 421, 842

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

GCD of numbers is the greatest common divisor

So, the GCD (212, 874, 842, 972) = 2.

Given numbers are 212, 874, 842, 972

The list of prime factors of all numbers are

Prime factors of 212 are 2 x 2 x 53

Prime factors of 874 are 2 x 19 x 23

Prime factors of 842 are 2 x 421

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

The highest common occurrence is 2¹

Therefore, GCD of 212, 874, 842, 972 is 2.

Given numbers are 212, 874, 842, 972

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

Apply this formula for all numbers.

Step1:

LCM(212, 874) = 92644

GCD(212, 874) = ( 212 x 874 ) / 92644

= 212 / 874

= 212

Step2:

LCM(2, 842) = 842

GCD(2, 842) = ( 2 x 842 ) / 842

= 2 / 842

= 2

Step3:

LCM(2, 972) = 972

GCD(2, 972) = ( 2 x 972 ) / 972

= 2 / 972

= 2

So, Greatest Common Divisor of 212, 874, 842, 972 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 503, 980, 609, 217
• GCD of 687, 423, 225, 920
• GCD of 382, 612, 317, 246
• GCD of 332, 792, 554, 995
• GCD of 109, 192, 153, 157

Given numbers are 212, 874, 842, 972
The greatest common divisor of numbers 212, 874, 842, 972 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 212, 874, 842, 972 is 2.

1. What is the GCD of 212, 874, 842, 972?

GCD of given numbers 212, 874, 842, 972 is 2

2. How to calculate the greatest common divisor of 212, 874, 842, 972?

We can find the highest common divisor of 212, 874, 842, 972 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, 874, 842, 972 i.e 2.

3. How can I use the GCD of 212, 874, 842, 972Calculator?

Out the numbers 212, 874, 842, 972 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.