GCD of 369, 840, 561, 100 Calculator

Given Input numbers are 369, 840, 561, 100

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

Divisors of 369 :

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

1, 3, 9, 41, 123, 369

Divisors of 840 :

The positive integer divisors of 840 that completely divides 840 are.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

Divisors of 561 :

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

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

Divisors of 100 :

The positive integer divisors of 100 that completely divides 100 are.

1, 2, 4, 5, 10, 20, 25, 50, 100

GCD of numbers is the greatest common divisor

So, the GCD (369, 840, 561, 100) = 1.

Given numbers are 369, 840, 561, 100

The list of prime factors of all numbers are

Prime factors of 369 are 3 x 3 x 41

Prime factors of 840 are 2 x 2 x 2 x 3 x 5 x 7

Prime factors of 561 are 3 x 11 x 17

Prime factors of 100 are 2 x 2 x 5 x 5

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

Given numbers are 369, 840, 561, 100

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

Apply this formula for all numbers.

Step1:

LCM(369, 840) = 103320

GCD(369, 840) = ( 369 x 840 ) / 103320

= 369 / 840

= 369

Step2:

LCM(3, 561) = 561

GCD(3, 561) = ( 3 x 561 ) / 561

= 3 / 561

= 3

Step3:

LCM(3, 100) = 300

GCD(3, 100) = ( 3 x 100 ) / 300

= 3 / 100

= 3

So, Greatest Common Divisor of 369, 840, 561, 100 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 806, 601, 258, 879
• GCD of 945, 898, 308, 171
• GCD of 251, 287, 861, 506
• GCD of 151, 669, 969, 176
• GCD of 296, 994, 999, 649

Given numbers are 369, 840, 561, 100
The greatest common divisor of numbers 369, 840, 561, 100 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 369, 840, 561, 100 is 1.

1. What is the GCD of 369, 840, 561, 100?

GCD of given numbers 369, 840, 561, 100 is 1

2. How to calculate the greatest common divisor of 369, 840, 561, 100?

We can find the highest common divisor of 369, 840, 561, 100 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 369, 840, 561, 100 i.e 1.

3. How can I use the GCD of 369, 840, 561, 100Calculator?

Out the numbers 369, 840, 561, 100 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.