GCD of 561, 916, 724, 142 Calculator

Given Input numbers are 561, 916, 724, 142

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 916 :

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

1, 2, 4, 229, 458, 916

Divisors of 724 :

The positive integer divisors of 724 that completely divides 724 are.

1, 2, 4, 181, 362, 724

Divisors of 142 :

The positive integer divisors of 142 that completely divides 142 are.

1, 2, 71, 142

GCD of numbers is the greatest common divisor

So, the GCD (561, 916, 724, 142) = 1.

Given numbers are 561, 916, 724, 142

The list of prime factors of all numbers are

Prime factors of 561 are 3 x 11 x 17

Prime factors of 916 are 2 x 2 x 229

Prime factors of 724 are 2 x 2 x 181

Prime factors of 142 are 2 x 71

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

Given numbers are 561, 916, 724, 142

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

Apply this formula for all numbers.

Step1:

LCM(561, 916) = 513876

GCD(561, 916) = ( 561 x 916 ) / 513876

= 561 / 916

= 561

Step2:

LCM(1, 724) = 724

GCD(1, 724) = ( 1 x 724 ) / 724

= 1 / 724

= 1

Step3:

LCM(1, 142) = 142

GCD(1, 142) = ( 1 x 142 ) / 142

= 1 / 142

= 1

So, Greatest Common Divisor of 561, 916, 724, 142 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 626, 448, 412, 155
• GCD of 360, 998, 507, 256
• GCD of 337, 311, 384, 952
• GCD of 193, 220, 276, 968
• GCD of 457, 680, 283, 277

Given numbers are 561, 916, 724, 142
The greatest common divisor of numbers 561, 916, 724, 142 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 561, 916, 724, 142 is 1.

1. What is the GCD of 561, 916, 724, 142?

GCD of given numbers 561, 916, 724, 142 is 1

2. How to calculate the greatest common divisor of 561, 916, 724, 142?

We can find the highest common divisor of 561, 916, 724, 142 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, 916, 724, 142 i.e 1.

3. How can I use the GCD of 561, 916, 724, 142Calculator?

Out the numbers 561, 916, 724, 142 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.