GCD of 972, 705, 221, 800 Calculator

Given Input numbers are 972, 705, 221, 800

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 705 :

The positive integer divisors of 705 that completely divides 705 are.

1, 3, 5, 15, 47, 141, 235, 705

Divisors of 221 :

The positive integer divisors of 221 that completely divides 221 are.

1, 13, 17, 221

Divisors of 800 :

The positive integer divisors of 800 that completely divides 800 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

GCD of numbers is the greatest common divisor

So, the GCD (972, 705, 221, 800) = 1.

Given numbers are 972, 705, 221, 800

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 705 are 3 x 5 x 47

Prime factors of 221 are 13 x 17

Prime factors of 800 are 2 x 2 x 2 x 2 x 2 x 5 x 5

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 972, 705, 221, 800

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

Apply this formula for all numbers.

Step1:

LCM(972, 705) = 228420

GCD(972, 705) = ( 972 x 705 ) / 228420

= 972 / 705

= 972

Step2:

LCM(3, 221) = 663

GCD(3, 221) = ( 3 x 221 ) / 663

= 3 / 221

= 3

Step3:

LCM(1, 800) = 800

GCD(1, 800) = ( 1 x 800 ) / 800

= 1 / 800

= 1

So, Greatest Common Divisor of 972, 705, 221, 800 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 487, 190, 641, 303
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Given numbers are 972, 705, 221, 800
The greatest common divisor of numbers 972, 705, 221, 800 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 972, 705, 221, 800 is 1.

1. What is the GCD of 972, 705, 221, 800?

GCD of given numbers 972, 705, 221, 800 is 1

2. How to calculate the greatest common divisor of 972, 705, 221, 800?

We can find the highest common divisor of 972, 705, 221, 800 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, 705, 221, 800 i.e 1.

3. How can I use the GCD of 972, 705, 221, 800Calculator?

Out the numbers 972, 705, 221, 800 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.