GCD of 220, 644, 236, 972 Calculator

Given Input numbers are 220, 644, 236, 972

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

Divisors of 220 :

The positive integer divisors of 220 that completely divides 220 are.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

Divisors of 644 :

The positive integer divisors of 644 that completely divides 644 are.

1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

Divisors of 236 :

The positive integer divisors of 236 that completely divides 236 are.

1, 2, 4, 59, 118, 236

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 (220, 644, 236, 972) = 4.

Given numbers are 220, 644, 236, 972

The list of prime factors of all numbers are

Prime factors of 220 are 2 x 2 x 5 x 11

Prime factors of 644 are 2 x 2 x 7 x 23

Prime factors of 236 are 2 x 2 x 59

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

The highest common occurrence is 2²

Therefore, GCD of 220, 644, 236, 972 is 4.

Given numbers are 220, 644, 236, 972

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

Apply this formula for all numbers.

Step1:

LCM(220, 644) = 35420

GCD(220, 644) = ( 220 x 644 ) / 35420

= 220 / 644

= 220

Step2:

LCM(4, 236) = 236

GCD(4, 236) = ( 4 x 236 ) / 236

= 4 / 236

= 4

Step3:

LCM(4, 972) = 972

GCD(4, 972) = ( 4 x 972 ) / 972

= 4 / 972

= 4

So, Greatest Common Divisor of 220, 644, 236, 972 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 750, 619, 387, 464
• GCD of 683, 286, 363, 489
• GCD of 138, 151, 187, 308
• GCD of 390, 969, 389, 554
• GCD of 756, 306, 931, 245

Given numbers are 220, 644, 236, 972
The greatest common divisor of numbers 220, 644, 236, 972 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 220, 644, 236, 972 is 4.

1. What is the GCD of 220, 644, 236, 972?

GCD of given numbers 220, 644, 236, 972 is 4

2. How to calculate the greatest common divisor of 220, 644, 236, 972?

We can find the highest common divisor of 220, 644, 236, 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 220, 644, 236, 972 i.e 4.

3. How can I use the GCD of 220, 644, 236, 972Calculator?

Out the numbers 220, 644, 236, 972 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.