GCD of 560, 728, 724, 106 Calculator

Given Input numbers are 560, 728, 724, 106

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 728 :

The positive integer divisors of 728 that completely divides 728 are.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

Divisors of 724 :

The positive integer divisors of 724 that completely divides 724 are.

1, 2, 4, 181, 362, 724

Divisors of 106 :

The positive integer divisors of 106 that completely divides 106 are.

1, 2, 53, 106

GCD of numbers is the greatest common divisor

So, the GCD (560, 728, 724, 106) = 2.

Given numbers are 560, 728, 724, 106

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 728 are 2 x 2 x 2 x 7 x 13

Prime factors of 724 are 2 x 2 x 181

Prime factors of 106 are 2 x 53

The highest common occurrence is 2¹

Therefore, GCD of 560, 728, 724, 106 is 2.

Given numbers are 560, 728, 724, 106

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

Apply this formula for all numbers.

Step1:

LCM(560, 728) = 7280

GCD(560, 728) = ( 560 x 728 ) / 7280

= 560 / 728

= 560

Step2:

LCM(56, 724) = 10136

GCD(56, 724) = ( 56 x 724 ) / 10136

= 56 / 724

= 56

Step3:

LCM(4, 106) = 212

GCD(4, 106) = ( 4 x 106 ) / 212

= 4 / 106

= 4

So, Greatest Common Divisor of 560, 728, 724, 106 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 162, 126, 183, 215
• GCD of 431, 695, 802, 936
• GCD of 123, 700, 503, 581
• GCD of 796, 340, 569, 249
• GCD of 840, 575, 151, 442

Given numbers are 560, 728, 724, 106
The greatest common divisor of numbers 560, 728, 724, 106 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 560, 728, 724, 106 is 2.

1. What is the GCD of 560, 728, 724, 106?

GCD of given numbers 560, 728, 724, 106 is 2

2. How to calculate the greatest common divisor of 560, 728, 724, 106?

We can find the highest common divisor of 560, 728, 724, 106 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, 728, 724, 106 i.e 2.

3. How can I use the GCD of 560, 728, 724, 106Calculator?

Out the numbers 560, 728, 724, 106 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.