GCD of 561, 504, 821, 725 Calculator

Given Input numbers are 561, 504, 821, 725

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 504 :

The positive integer divisors of 504 that completely divides 504 are.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

Divisors of 821 :

The positive integer divisors of 821 that completely divides 821 are.

1, 821

Divisors of 725 :

The positive integer divisors of 725 that completely divides 725 are.

1, 5, 25, 29, 145, 725

GCD of numbers is the greatest common divisor

So, the GCD (561, 504, 821, 725) = 1.

Given numbers are 561, 504, 821, 725

The list of prime factors of all numbers are

Prime factors of 561 are 3 x 11 x 17

Prime factors of 504 are 2 x 2 x 2 x 3 x 3 x 7

Prime factors of 821 are 821

Prime factors of 725 are 5 x 5 x 29

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

Given numbers are 561, 504, 821, 725

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

Apply this formula for all numbers.

Step1:

LCM(561, 504) = 94248

GCD(561, 504) = ( 561 x 504 ) / 94248

= 561 / 504

= 561

Step2:

LCM(3, 821) = 2463

GCD(3, 821) = ( 3 x 821 ) / 2463

= 3 / 821

= 3

Step3:

LCM(1, 725) = 725

GCD(1, 725) = ( 1 x 725 ) / 725

= 1 / 725

= 1

So, Greatest Common Divisor of 561, 504, 821, 725 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 901, 924, 269, 954
• GCD of 947, 508, 919, 933
• GCD of 511, 400, 422, 294
• GCD of 388, 833, 802, 713
• GCD of 498, 453, 703, 863

Given numbers are 561, 504, 821, 725
The greatest common divisor of numbers 561, 504, 821, 725 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 561, 504, 821, 725 is 1.

1. What is the GCD of 561, 504, 821, 725?

GCD of given numbers 561, 504, 821, 725 is 1

2. How to calculate the greatest common divisor of 561, 504, 821, 725?

We can find the highest common divisor of 561, 504, 821, 725 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, 504, 821, 725 i.e 1.

3. How can I use the GCD of 561, 504, 821, 725Calculator?

Out the numbers 561, 504, 821, 725 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.