GCD of 561, 682, 972, 542 Calculator

Given Input numbers are 561, 682, 972, 542

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 682 :

The positive integer divisors of 682 that completely divides 682 are.

1, 2, 11, 22, 31, 62, 341, 682

Divisors of 972 :

The positive integer divisors of 972 that completely divides 972 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

Divisors of 542 :

The positive integer divisors of 542 that completely divides 542 are.

1, 2, 271, 542

GCD of numbers is the greatest common divisor

So, the GCD (561, 682, 972, 542) = 1.

Given numbers are 561, 682, 972, 542

The list of prime factors of all numbers are

Prime factors of 561 are 3 x 11 x 17

Prime factors of 682 are 2 x 11 x 31

Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3

Prime factors of 542 are 2 x 271

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

Given numbers are 561, 682, 972, 542

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

Apply this formula for all numbers.

Step1:

LCM(561, 682) = 34782

GCD(561, 682) = ( 561 x 682 ) / 34782

= 561 / 682

= 561

Step2:

LCM(11, 972) = 10692

GCD(11, 972) = ( 11 x 972 ) / 10692

= 11 / 972

= 11

Step3:

LCM(1, 542) = 542

GCD(1, 542) = ( 1 x 542 ) / 542

= 1 / 542

= 1

So, Greatest Common Divisor of 561, 682, 972, 542 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 672, 306, 408, 282
• GCD of 674, 567, 112, 836
• GCD of 149, 231, 396, 561
• GCD of 175, 496, 383, 191
• GCD of 217, 462, 808, 959

Given numbers are 561, 682, 972, 542
The greatest common divisor of numbers 561, 682, 972, 542 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 561, 682, 972, 542 is 1.

1. What is the GCD of 561, 682, 972, 542?

GCD of given numbers 561, 682, 972, 542 is 1

2. How to calculate the greatest common divisor of 561, 682, 972, 542?

We can find the highest common divisor of 561, 682, 972, 542 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, 682, 972, 542 i.e 1.

3. How can I use the GCD of 561, 682, 972, 542Calculator?

Out the numbers 561, 682, 972, 542 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.