GCD of 561, 156, 402, 100 Calculator

Given Input numbers are 561, 156, 402, 100

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 156 :

The positive integer divisors of 156 that completely divides 156 are.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156

Divisors of 402 :

The positive integer divisors of 402 that completely divides 402 are.

1, 2, 3, 6, 67, 134, 201, 402

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 (561, 156, 402, 100) = 1.

Given numbers are 561, 156, 402, 100

The list of prime factors of all numbers are

Prime factors of 561 are 3 x 11 x 17

Prime factors of 156 are 2 x 2 x 3 x 13

Prime factors of 402 are 2 x 3 x 67

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 561, 156, 402, 100

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

Apply this formula for all numbers.

Step1:

LCM(561, 156) = 29172

GCD(561, 156) = ( 561 x 156 ) / 29172

= 561 / 156

= 561

Step2:

LCM(3, 402) = 402

GCD(3, 402) = ( 3 x 402 ) / 402

= 3 / 402

= 3

Step3:

LCM(3, 100) = 300

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

= 3 / 100

= 3

So, Greatest Common Divisor of 561, 156, 402, 100 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 132, 212, 693, 174
• GCD of 993, 545, 506, 902
• GCD of 124, 172, 559, 210
• GCD of 647, 618, 813, 790
• GCD of 271, 304, 524, 895

Given numbers are 561, 156, 402, 100
The greatest common divisor of numbers 561, 156, 402, 100 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 561, 156, 402, 100 is 1.

1. What is the GCD of 561, 156, 402, 100?

GCD of given numbers 561, 156, 402, 100 is 1

2. How to calculate the greatest common divisor of 561, 156, 402, 100?

We can find the highest common divisor of 561, 156, 402, 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 561, 156, 402, 100 i.e 1.

3. How can I use the GCD of 561, 156, 402, 100Calculator?

Out the numbers 561, 156, 402, 100 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.