GCD of 560, 228, 496, 212 Calculator

Given Input numbers are 560, 228, 496, 212

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

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 228 :

The positive integer divisors of 228 that completely divides 228 are.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

Divisors of 496 :

The positive integer divisors of 496 that completely divides 496 are.

1, 2, 4, 8, 16, 31, 62, 124, 248, 496

Divisors of 212 :

The positive integer divisors of 212 that completely divides 212 are.

1, 2, 4, 53, 106, 212

GCD of numbers is the greatest common divisor

So, the GCD (560, 228, 496, 212) = 4.

Given numbers are 560, 228, 496, 212

The list of prime factors of all numbers are

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

Prime factors of 228 are 2 x 2 x 3 x 19

Prime factors of 496 are 2 x 2 x 2 x 2 x 31

Prime factors of 212 are 2 x 2 x 53

The highest common occurrence is 2²

Therefore, GCD of 560, 228, 496, 212 is 4.

Given numbers are 560, 228, 496, 212

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

Apply this formula for all numbers.

Step1:

LCM(560, 228) = 31920

GCD(560, 228) = ( 560 x 228 ) / 31920

= 560 / 228

= 560

Step2:

LCM(4, 496) = 496

GCD(4, 496) = ( 4 x 496 ) / 496

= 4 / 496

= 4

Step3:

LCM(4, 212) = 212

GCD(4, 212) = ( 4 x 212 ) / 212

= 4 / 212

= 4

So, Greatest Common Divisor of 560, 228, 496, 212 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 746, 138, 380, 704
• GCD of 418, 303, 232, 606
• GCD of 987, 882, 259, 138
• GCD of 713, 255, 665, 506
• GCD of 701, 695, 836, 872

Given numbers are 560, 228, 496, 212
The greatest common divisor of numbers 560, 228, 496, 212 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 560, 228, 496, 212 is 4.

1. What is the GCD of 560, 228, 496, 212?

GCD of given numbers 560, 228, 496, 212 is 4

2. How to calculate the greatest common divisor of 560, 228, 496, 212?

We can find the highest common divisor of 560, 228, 496, 212 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 560, 228, 496, 212 i.e 4.

3. How can I use the GCD of 560, 228, 496, 212Calculator?

Out the numbers 560, 228, 496, 212 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.