GCD of 561, 997, 464, 112 Calculator

Given Input numbers are 561, 997, 464, 112

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 997 :

The positive integer divisors of 997 that completely divides 997 are.

1, 997

Divisors of 464 :

The positive integer divisors of 464 that completely divides 464 are.

1, 2, 4, 8, 16, 29, 58, 116, 232, 464

Divisors of 112 :

The positive integer divisors of 112 that completely divides 112 are.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112

GCD of numbers is the greatest common divisor

So, the GCD (561, 997, 464, 112) = 1.

Given numbers are 561, 997, 464, 112

The list of prime factors of all numbers are

Prime factors of 561 are 3 x 11 x 17

Prime factors of 997 are 997

Prime factors of 464 are 2 x 2 x 2 x 2 x 29

Prime factors of 112 are 2 x 2 x 2 x 2 x 7

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

Given numbers are 561, 997, 464, 112

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

Apply this formula for all numbers.

Step1:

LCM(561, 997) = 559317

GCD(561, 997) = ( 561 x 997 ) / 559317

= 561 / 997

= 561

Step2:

LCM(1, 464) = 464

GCD(1, 464) = ( 1 x 464 ) / 464

= 1 / 464

= 1

Step3:

LCM(1, 112) = 112

GCD(1, 112) = ( 1 x 112 ) / 112

= 1 / 112

= 1

So, Greatest Common Divisor of 561, 997, 464, 112 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 744, 971, 476, 209
• GCD of 208, 306, 687, 948
• GCD of 150, 787, 706, 602
• GCD of 318, 417, 619, 746
• GCD of 755, 603, 418, 113

Given numbers are 561, 997, 464, 112
The greatest common divisor of numbers 561, 997, 464, 112 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 561, 997, 464, 112 is 1.

1. What is the GCD of 561, 997, 464, 112?

GCD of given numbers 561, 997, 464, 112 is 1

2. How to calculate the greatest common divisor of 561, 997, 464, 112?

We can find the highest common divisor of 561, 997, 464, 112 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, 997, 464, 112 i.e 1.

3. How can I use the GCD of 561, 997, 464, 112Calculator?

Out the numbers 561, 997, 464, 112 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.