GCD of 954, 420, 72, 506 Calculator

Given Input numbers are 954, 420, 72, 506

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

Divisors of 954 :

The positive integer divisors of 954 that completely divides 954 are.

1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954

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 72 :

The positive integer divisors of 72 that completely divides 72 are.

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

Divisors of 506 :

The positive integer divisors of 506 that completely divides 506 are.

1, 2, 11, 22, 23, 46, 253, 506

GCD of numbers is the greatest common divisor

So, the GCD (954, 420, 72, 506) = 2.

Given numbers are 954, 420, 72, 506

The list of prime factors of all numbers are

Prime factors of 954 are 2 x 3 x 3 x 53

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

Prime factors of 72 are 2 x 2 x 2 x 3 x 3

Prime factors of 506 are 2 x 11 x 23

The highest common occurrence is 2¹

Therefore, GCD of 954, 420, 72, 506 is 2.

Given numbers are 954, 420, 72, 506

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

Apply this formula for all numbers.

Step1:

LCM(954, 420) = 66780

GCD(954, 420) = ( 954 x 420 ) / 66780

= 954 / 420

= 954

Step2:

LCM(6, 72) = 72

GCD(6, 72) = ( 6 x 72 ) / 72

= 6 / 72

= 6

Step3:

LCM(6, 506) = 1518

GCD(6, 506) = ( 6 x 506 ) / 1518

= 6 / 506

= 6

So, Greatest Common Divisor of 954, 420, 72, 506 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 862, 538, 20, 473
• GCD of 163, 760, 62, 989
• GCD of 328, 608, 69, 684
• GCD of 861, 733, 30, 636
• GCD of 199, 926, 58, 340

Given numbers are 954, 420, 72, 506
The greatest common divisor of numbers 954, 420, 72, 506 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 954, 420, 72, 506 is 2.

1. What is the GCD of 954, 420, 72, 506?

GCD of given numbers 954, 420, 72, 506 is 2

2. How to calculate the greatest common divisor of 954, 420, 72, 506?

We can find the highest common divisor of 954, 420, 72, 506 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 954, 420, 72, 506 i.e 2.

3. How can I use the GCD of 954, 420, 72, 506Calculator?

Out the numbers 954, 420, 72, 506 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.