GCD of 561, 824, 292, 461 Calculator

Given Input numbers are 561, 824, 292, 461

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 824 :

The positive integer divisors of 824 that completely divides 824 are.

1, 2, 4, 8, 103, 206, 412, 824

Divisors of 292 :

The positive integer divisors of 292 that completely divides 292 are.

1, 2, 4, 73, 146, 292

Divisors of 461 :

The positive integer divisors of 461 that completely divides 461 are.

1, 461

GCD of numbers is the greatest common divisor

So, the GCD (561, 824, 292, 461) = 1.

Given numbers are 561, 824, 292, 461

The list of prime factors of all numbers are

Prime factors of 561 are 3 x 11 x 17

Prime factors of 824 are 2 x 2 x 2 x 103

Prime factors of 292 are 2 x 2 x 73

Prime factors of 461 are 461

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

Given numbers are 561, 824, 292, 461

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

Apply this formula for all numbers.

Step1:

LCM(561, 824) = 462264

GCD(561, 824) = ( 561 x 824 ) / 462264

= 561 / 824

= 561

Step2:

LCM(1, 292) = 292

GCD(1, 292) = ( 1 x 292 ) / 292

= 1 / 292

= 1

Step3:

LCM(1, 461) = 461

GCD(1, 461) = ( 1 x 461 ) / 461

= 1 / 461

= 1

So, Greatest Common Divisor of 561, 824, 292, 461 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 856, 847, 137, 351
• GCD of 814, 661, 858, 846
• GCD of 845, 265, 352, 637
• GCD of 747, 274, 744, 342
• GCD of 991, 332, 123, 986

Given numbers are 561, 824, 292, 461
The greatest common divisor of numbers 561, 824, 292, 461 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 561, 824, 292, 461 is 1.

1. What is the GCD of 561, 824, 292, 461?

GCD of given numbers 561, 824, 292, 461 is 1

2. How to calculate the greatest common divisor of 561, 824, 292, 461?

We can find the highest common divisor of 561, 824, 292, 461 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, 824, 292, 461 i.e 1.

3. How can I use the GCD of 561, 824, 292, 461Calculator?

Out the numbers 561, 824, 292, 461 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.