GCD of 561, 865, 378, 105 Calculator

Given Input numbers are 561, 865, 378, 105

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

Divisors of 561 :

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

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

Divisors of 865 :

The positive integer divisors of 865 that completely divides 865 are.

1, 5, 173, 865

Divisors of 378 :

The positive integer divisors of 378 that completely divides 378 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

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 (561, 865, 378, 105) = 1.

Given numbers are 561, 865, 378, 105

The list of prime factors of all numbers are

Prime factors of 561 are 3 x 11 x 17

Prime factors of 865 are 5 x 173

Prime factors of 378 are 2 x 3 x 3 x 3 x 7

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 561, 865, 378, 105

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

Apply this formula for all numbers.

Step1:

LCM(561, 865) = 485265

GCD(561, 865) = ( 561 x 865 ) / 485265

= 561 / 865

= 561

Step2:

LCM(1, 378) = 378

GCD(1, 378) = ( 1 x 378 ) / 378

= 1 / 378

= 1

Step3:

LCM(1, 105) = 105

GCD(1, 105) = ( 1 x 105 ) / 105

= 1 / 105

= 1

So, Greatest Common Divisor of 561, 865, 378, 105 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 689, 880, 627, 819
• GCD of 153, 686, 966, 400
• GCD of 628, 476, 361, 812
• GCD of 764, 705, 423, 887
• GCD of 814, 673, 310, 186

Given numbers are 561, 865, 378, 105
The greatest common divisor of numbers 561, 865, 378, 105 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 561, 865, 378, 105 is 1.

1. What is the GCD of 561, 865, 378, 105?

GCD of given numbers 561, 865, 378, 105 is 1

2. How to calculate the greatest common divisor of 561, 865, 378, 105?

We can find the highest common divisor of 561, 865, 378, 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 561, 865, 378, 105 i.e 1.

3. How can I use the GCD of 561, 865, 378, 105Calculator?

Out the numbers 561, 865, 378, 105 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.