GCD of 561, 100, 513, 916 Calculator

Given Input numbers are 561, 100, 513, 916

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 100 :

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

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

Divisors of 513 :

The positive integer divisors of 513 that completely divides 513 are.

1, 3, 9, 19, 27, 57, 171, 513

Divisors of 916 :

The positive integer divisors of 916 that completely divides 916 are.

1, 2, 4, 229, 458, 916

GCD of numbers is the greatest common divisor

So, the GCD (561, 100, 513, 916) = 1.

Given numbers are 561, 100, 513, 916

The list of prime factors of all numbers are

Prime factors of 561 are 3 x 11 x 17

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

Prime factors of 513 are 3 x 3 x 3 x 19

Prime factors of 916 are 2 x 2 x 229

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

Given numbers are 561, 100, 513, 916

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

Apply this formula for all numbers.

Step1:

LCM(561, 100) = 56100

GCD(561, 100) = ( 561 x 100 ) / 56100

= 561 / 100

= 561

Step2:

LCM(1, 513) = 513

GCD(1, 513) = ( 1 x 513 ) / 513

= 1 / 513

= 1

Step3:

LCM(1, 916) = 916

GCD(1, 916) = ( 1 x 916 ) / 916

= 1 / 916

= 1

So, Greatest Common Divisor of 561, 100, 513, 916 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 395, 296, 406, 415
• GCD of 173, 597, 623, 828
• GCD of 801, 105, 415, 272
• GCD of 114, 782, 596, 315
• GCD of 815, 586, 608, 840

Given numbers are 561, 100, 513, 916
The greatest common divisor of numbers 561, 100, 513, 916 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 561, 100, 513, 916 is 1.

1. What is the GCD of 561, 100, 513, 916?

GCD of given numbers 561, 100, 513, 916 is 1

2. How to calculate the greatest common divisor of 561, 100, 513, 916?

We can find the highest common divisor of 561, 100, 513, 916 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, 100, 513, 916 i.e 1.

3. How can I use the GCD of 561, 100, 513, 916Calculator?

Out the numbers 561, 100, 513, 916 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.