GCD of 480, 612, 560, 552 Calculator

Given Input numbers are 480, 612, 560, 552

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

Divisors of 480 :

The positive integer divisors of 480 that completely divides 480 are.

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

Divisors of 612 :

The positive integer divisors of 612 that completely divides 612 are.

1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

Divisors of 560 :

The positive integer divisors of 560 that completely divides 560 are.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

Divisors of 552 :

The positive integer divisors of 552 that completely divides 552 are.

1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

GCD of numbers is the greatest common divisor

So, the GCD (480, 612, 560, 552) = 4.

Given numbers are 480, 612, 560, 552

The list of prime factors of all numbers are

Prime factors of 480 are 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 612 are 2 x 2 x 3 x 3 x 17

Prime factors of 560 are 2 x 2 x 2 x 2 x 5 x 7

Prime factors of 552 are 2 x 2 x 2 x 3 x 23

The highest common occurrence is 2²

Therefore, GCD of 480, 612, 560, 552 is 4.

Given numbers are 480, 612, 560, 552

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

Apply this formula for all numbers.

Step1:

LCM(480, 612) = 24480

GCD(480, 612) = ( 480 x 612 ) / 24480

= 480 / 612

= 480

Step2:

LCM(12, 560) = 1680

GCD(12, 560) = ( 12 x 560 ) / 1680

= 12 / 560

= 12

Step3:

LCM(4, 552) = 552

GCD(4, 552) = ( 4 x 552 ) / 552

= 4 / 552

= 4

So, Greatest Common Divisor of 480, 612, 560, 552 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 107, 382, 674, 895
• GCD of 261, 429, 767, 978
• GCD of 359, 672, 188, 639
• GCD of 308, 774, 565, 225
• GCD of 582, 620, 299, 826

Given numbers are 480, 612, 560, 552
The greatest common divisor of numbers 480, 612, 560, 552 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 480, 612, 560, 552 is 4.

1. What is the GCD of 480, 612, 560, 552?

GCD of given numbers 480, 612, 560, 552 is 4

2. How to calculate the greatest common divisor of 480, 612, 560, 552?

We can find the highest common divisor of 480, 612, 560, 552 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 480, 612, 560, 552 i.e 4.

3. How can I use the GCD of 480, 612, 560, 552Calculator?

Out the numbers 480, 612, 560, 552 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.