GCD of 438, 299, 561, 560 Calculator

Given Input numbers are 438, 299, 561, 560

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

Divisors of 438 :

The positive integer divisors of 438 that completely divides 438 are.

1, 2, 3, 6, 73, 146, 219, 438

Divisors of 299 :

The positive integer divisors of 299 that completely divides 299 are.

1, 13, 23, 299

Divisors of 561 :

The positive integer divisors of 561 that completely divides 561 are.

1, 3, 11, 17, 33, 51, 187, 561

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

GCD of numbers is the greatest common divisor

So, the GCD (438, 299, 561, 560) = 1.

Given numbers are 438, 299, 561, 560

The list of prime factors of all numbers are

Prime factors of 438 are 2 x 3 x 73

Prime factors of 299 are 13 x 23

Prime factors of 561 are 3 x 11 x 17

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

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 438, 299, 561, 560

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

Apply this formula for all numbers.

Step1:

LCM(438, 299) = 130962

GCD(438, 299) = ( 438 x 299 ) / 130962

= 438 / 299

= 438

Step2:

LCM(1, 561) = 561

GCD(1, 561) = ( 1 x 561 ) / 561

= 1 / 561

= 1

Step3:

LCM(1, 560) = 560

GCD(1, 560) = ( 1 x 560 ) / 560

= 1 / 560

= 1

So, Greatest Common Divisor of 438, 299, 561, 560 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 575, 154, 370, 156
• GCD of 901, 810, 197, 701
• GCD of 709, 998, 681, 286
• GCD of 480, 274, 895, 177
• GCD of 456, 277, 138, 434

Given numbers are 438, 299, 561, 560
The greatest common divisor of numbers 438, 299, 561, 560 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 438, 299, 561, 560 is 1.

1. What is the GCD of 438, 299, 561, 560?

GCD of given numbers 438, 299, 561, 560 is 1

2. How to calculate the greatest common divisor of 438, 299, 561, 560?

We can find the highest common divisor of 438, 299, 561, 560 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 438, 299, 561, 560 i.e 1.

3. How can I use the GCD of 438, 299, 561, 560Calculator?

Out the numbers 438, 299, 561, 560 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.