GCD of 564, 109, 860, 369 Calculator

Given Input numbers are 564, 109, 860, 369

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

Divisors of 564 :

The positive integer divisors of 564 that completely divides 564 are.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

Divisors of 109 :

The positive integer divisors of 109 that completely divides 109 are.

1, 109

Divisors of 860 :

The positive integer divisors of 860 that completely divides 860 are.

1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860

Divisors of 369 :

The positive integer divisors of 369 that completely divides 369 are.

1, 3, 9, 41, 123, 369

GCD of numbers is the greatest common divisor

So, the GCD (564, 109, 860, 369) = 1.

Given numbers are 564, 109, 860, 369

The list of prime factors of all numbers are

Prime factors of 564 are 2 x 2 x 3 x 47

Prime factors of 109 are 109

Prime factors of 860 are 2 x 2 x 5 x 43

Prime factors of 369 are 3 x 3 x 41

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

Given numbers are 564, 109, 860, 369

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

Apply this formula for all numbers.

Step1:

LCM(564, 109) = 61476

GCD(564, 109) = ( 564 x 109 ) / 61476

= 564 / 109

= 564

Step2:

LCM(1, 860) = 860

GCD(1, 860) = ( 1 x 860 ) / 860

= 1 / 860

= 1

Step3:

LCM(1, 369) = 369

GCD(1, 369) = ( 1 x 369 ) / 369

= 1 / 369

= 1

So, Greatest Common Divisor of 564, 109, 860, 369 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 160, 762, 708, 853
• GCD of 498, 732, 213, 511
• GCD of 438, 710, 180, 687
• GCD of 617, 128, 364, 246
• GCD of 885, 416, 488, 667

Given numbers are 564, 109, 860, 369
The greatest common divisor of numbers 564, 109, 860, 369 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 564, 109, 860, 369 is 1.

1. What is the GCD of 564, 109, 860, 369?

GCD of given numbers 564, 109, 860, 369 is 1

2. How to calculate the greatest common divisor of 564, 109, 860, 369?

We can find the highest common divisor of 564, 109, 860, 369 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 564, 109, 860, 369 i.e 1.

3. How can I use the GCD of 564, 109, 860, 369Calculator?

Out the numbers 564, 109, 860, 369 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.