GCD of 144, 972, 105, 420 Calculator

Given Input numbers are 144, 972, 105, 420

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

Divisors of 144 :

The positive integer divisors of 144 that completely divides 144 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

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 105 :

The positive integer divisors of 105 that completely divides 105 are.

1, 3, 5, 7, 15, 21, 35, 105

Divisors of 420 :

The positive integer divisors of 420 that completely divides 420 are.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

GCD of numbers is the greatest common divisor

So, the GCD (144, 972, 105, 420) = 3.

Given numbers are 144, 972, 105, 420

The list of prime factors of all numbers are

Prime factors of 144 are 2 x 2 x 2 x 2 x 3 x 3

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

Prime factors of 105 are 3 x 5 x 7

Prime factors of 420 are 2 x 2 x 3 x 5 x 7

The highest common occurrence is 3¹

Therefore, GCD of 144, 972, 105, 420 is 3.

Given numbers are 144, 972, 105, 420

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

Apply this formula for all numbers.

Step1:

LCM(144, 972) = 3888

GCD(144, 972) = ( 144 x 972 ) / 3888

= 144 / 972

= 144

Step2:

LCM(36, 105) = 1260

GCD(36, 105) = ( 36 x 105 ) / 1260

= 36 / 105

= 36

Step3:

LCM(3, 420) = 420

GCD(3, 420) = ( 3 x 420 ) / 420

= 3 / 420

= 3

So, Greatest Common Divisor of 144, 972, 105, 420 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 264, 123, 717, 573
• GCD of 604, 753, 460, 478
• GCD of 686, 607, 820, 262
• GCD of 271, 187, 474, 611
• GCD of 282, 602, 646, 347

Given numbers are 144, 972, 105, 420
The greatest common divisor of numbers 144, 972, 105, 420 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 144, 972, 105, 420 is 3.

1. What is the GCD of 144, 972, 105, 420?

GCD of given numbers 144, 972, 105, 420 is 3

2. How to calculate the greatest common divisor of 144, 972, 105, 420?

We can find the highest common divisor of 144, 972, 105, 420 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 144, 972, 105, 420 i.e 3.

3. How can I use the GCD of 144, 972, 105, 420Calculator?

Out the numbers 144, 972, 105, 420 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.