GCD of 960, 954, 530, 420 Calculator

Given Input numbers are 960, 954, 530, 420

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

Divisors of 960 :

The positive integer divisors of 960 that completely divides 960 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

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 530 :

The positive integer divisors of 530 that completely divides 530 are.

1, 2, 5, 10, 53, 106, 265, 530

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 (960, 954, 530, 420) = 2.

Given numbers are 960, 954, 530, 420

The list of prime factors of all numbers are

Prime factors of 960 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

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

Prime factors of 530 are 2 x 5 x 53

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

The highest common occurrence is 2¹

Therefore, GCD of 960, 954, 530, 420 is 2.

Given numbers are 960, 954, 530, 420

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

Apply this formula for all numbers.

Step1:

LCM(960, 954) = 152640

GCD(960, 954) = ( 960 x 954 ) / 152640

= 960 / 954

= 960

Step2:

LCM(6, 530) = 1590

GCD(6, 530) = ( 6 x 530 ) / 1590

= 6 / 530

= 6

Step3:

LCM(2, 420) = 420

GCD(2, 420) = ( 2 x 420 ) / 420

= 2 / 420

= 2

So, Greatest Common Divisor of 960, 954, 530, 420 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 867, 661, 163, 530
• GCD of 365, 141, 864, 517
• GCD of 498, 830, 363, 342
• GCD of 406, 672, 397, 861
• GCD of 711, 672, 920, 357

Given numbers are 960, 954, 530, 420
The greatest common divisor of numbers 960, 954, 530, 420 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 960, 954, 530, 420 is 2.

1. What is the GCD of 960, 954, 530, 420?

GCD of given numbers 960, 954, 530, 420 is 2

2. How to calculate the greatest common divisor of 960, 954, 530, 420?

We can find the highest common divisor of 960, 954, 530, 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 960, 954, 530, 420 i.e 2.

3. How can I use the GCD of 960, 954, 530, 420Calculator?

Out the numbers 960, 954, 530, 420 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.