GCD of 564, 496, 654, 105 Calculator

Given Input numbers are 564, 496, 654, 105

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 496 :

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

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

Divisors of 654 :

The positive integer divisors of 654 that completely divides 654 are.

1, 2, 3, 6, 109, 218, 327, 654

Divisors of 105 :

The positive integer divisors of 105 that completely divides 105 are.

1, 3, 5, 7, 15, 21, 35, 105

GCD of numbers is the greatest common divisor

So, the GCD (564, 496, 654, 105) = 1.

Given numbers are 564, 496, 654, 105

The list of prime factors of all numbers are

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

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

Prime factors of 654 are 2 x 3 x 109

Prime factors of 105 are 3 x 5 x 7

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

Given numbers are 564, 496, 654, 105

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

Apply this formula for all numbers.

Step1:

LCM(564, 496) = 69936

GCD(564, 496) = ( 564 x 496 ) / 69936

= 564 / 496

= 564

Step2:

LCM(4, 654) = 1308

GCD(4, 654) = ( 4 x 654 ) / 1308

= 4 / 654

= 4

Step3:

LCM(2, 105) = 210

GCD(2, 105) = ( 2 x 105 ) / 210

= 2 / 105

= 2

So, Greatest Common Divisor of 564, 496, 654, 105 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 423, 393, 520, 896
• GCD of 510, 307, 382, 202
• GCD of 267, 215, 610, 695
• GCD of 433, 777, 360, 995
• GCD of 267, 615, 257, 660

Given numbers are 564, 496, 654, 105
The greatest common divisor of numbers 564, 496, 654, 105 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 564, 496, 654, 105 is 1.

1. What is the GCD of 564, 496, 654, 105?

GCD of given numbers 564, 496, 654, 105 is 1

2. How to calculate the greatest common divisor of 564, 496, 654, 105?

We can find the highest common divisor of 564, 496, 654, 105 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, 496, 654, 105 i.e 1.

3. How can I use the GCD of 564, 496, 654, 105Calculator?

Out the numbers 564, 496, 654, 105 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.