GCD of 561, 945, 686, 484 Calculator

Given Input numbers are 561, 945, 686, 484

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 945 :

The positive integer divisors of 945 that completely divides 945 are.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

Divisors of 686 :

The positive integer divisors of 686 that completely divides 686 are.

1, 2, 7, 14, 49, 98, 343, 686

Divisors of 484 :

The positive integer divisors of 484 that completely divides 484 are.

1, 2, 4, 11, 22, 44, 121, 242, 484

GCD of numbers is the greatest common divisor

So, the GCD (561, 945, 686, 484) = 1.

Given numbers are 561, 945, 686, 484

The list of prime factors of all numbers are

Prime factors of 561 are 3 x 11 x 17

Prime factors of 945 are 3 x 3 x 3 x 5 x 7

Prime factors of 686 are 2 x 7 x 7 x 7

Prime factors of 484 are 2 x 2 x 11 x 11

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

Given numbers are 561, 945, 686, 484

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

Apply this formula for all numbers.

Step1:

LCM(561, 945) = 176715

GCD(561, 945) = ( 561 x 945 ) / 176715

= 561 / 945

= 561

Step2:

LCM(3, 686) = 2058

GCD(3, 686) = ( 3 x 686 ) / 2058

= 3 / 686

= 3

Step3:

LCM(1, 484) = 484

GCD(1, 484) = ( 1 x 484 ) / 484

= 1 / 484

= 1

So, Greatest Common Divisor of 561, 945, 686, 484 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 968, 771, 711, 159
• GCD of 174, 524, 265, 740
• GCD of 602, 798, 834, 272
• GCD of 923, 918, 761, 451
• GCD of 467, 479, 698, 603

Given numbers are 561, 945, 686, 484
The greatest common divisor of numbers 561, 945, 686, 484 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 561, 945, 686, 484 is 1.

1. What is the GCD of 561, 945, 686, 484?

GCD of given numbers 561, 945, 686, 484 is 1

2. How to calculate the greatest common divisor of 561, 945, 686, 484?

We can find the highest common divisor of 561, 945, 686, 484 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, 945, 686, 484 i.e 1.

3. How can I use the GCD of 561, 945, 686, 484Calculator?

Out the numbers 561, 945, 686, 484 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.