GCD of 400, 420, 648, 144 Calculator

Given Input numbers are 400, 420, 648, 144

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

Divisors of 400 :

The positive integer divisors of 400 that completely divides 400 are.

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

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

Divisors of 648 :

The positive integer divisors of 648 that completely divides 648 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

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

GCD of numbers is the greatest common divisor

So, the GCD (400, 420, 648, 144) = 4.

Given numbers are 400, 420, 648, 144

The list of prime factors of all numbers are

Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5

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

Prime factors of 648 are 2 x 2 x 2 x 3 x 3 x 3 x 3

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

The highest common occurrence is 2²

Therefore, GCD of 400, 420, 648, 144 is 4.

Given numbers are 400, 420, 648, 144

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

Apply this formula for all numbers.

Step1:

LCM(400, 420) = 8400

GCD(400, 420) = ( 400 x 420 ) / 8400

= 400 / 420

= 400

Step2:

LCM(20, 648) = 3240

GCD(20, 648) = ( 20 x 648 ) / 3240

= 20 / 648

= 20

Step3:

LCM(4, 144) = 144

GCD(4, 144) = ( 4 x 144 ) / 144

= 4 / 144

= 4

So, Greatest Common Divisor of 400, 420, 648, 144 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 704, 632, 589, 625
• GCD of 443, 622, 685, 184
• GCD of 521, 996, 865, 103
• GCD of 456, 861, 823, 812
• GCD of 469, 928, 604, 330

Given numbers are 400, 420, 648, 144
The greatest common divisor of numbers 400, 420, 648, 144 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 400, 420, 648, 144 is 4.

1. What is the GCD of 400, 420, 648, 144?

GCD of given numbers 400, 420, 648, 144 is 4

2. How to calculate the greatest common divisor of 400, 420, 648, 144?

We can find the highest common divisor of 400, 420, 648, 144 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 400, 420, 648, 144 i.e 4.

3. How can I use the GCD of 400, 420, 648, 144Calculator?

Out the numbers 400, 420, 648, 144 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.