GCD of 909, 108, 85, 542 Calculator

Given Input numbers are 909, 108, 85, 542

In the factoring method, we have to find the divisors of all numbers

Divisors of 909 :

The positive integer divisors of 909 that completely divides 909 are.

1, 3, 9, 101, 303, 909

Divisors of 108 :

The positive integer divisors of 108 that completely divides 108 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Divisors of 85 :

The positive integer divisors of 85 that completely divides 85 are.

1, 5, 17, 85

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 (909, 108, 85, 542) = 1.

Given numbers are 909, 108, 85, 542

The list of prime factors of all numbers are

Prime factors of 909 are 3 x 3 x 101

Prime factors of 108 are 2 x 2 x 3 x 3 x 3

Prime factors of 85 are 5 x 17

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 909, 108, 85, 542

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

Apply this formula for all numbers.

Step1:

LCM(909, 108) = 10908

GCD(909, 108) = ( 909 x 108 ) / 10908

= 909 / 108

= 909

Step2:

LCM(9, 85) = 765

GCD(9, 85) = ( 9 x 85 ) / 765

= 9 / 85

= 9

Step3:

LCM(1, 542) = 542

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

= 1 / 542

= 1

So, Greatest Common Divisor of 909, 108, 85, 542 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 670, 584, 95, 336
• GCD of 280, 272, 71, 539
• GCD of 433, 347, 72, 666
• GCD of 522, 451, 35, 969
• GCD of 701, 505, 79, 243

Given numbers are 909, 108, 85, 542
The greatest common divisor of numbers 909, 108, 85, 542 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 909, 108, 85, 542 is 1.

1. What is the GCD of 909, 108, 85, 542?

GCD of given numbers 909, 108, 85, 542 is 1

2. How to calculate the greatest common divisor of 909, 108, 85, 542?

We can find the highest common divisor of 909, 108, 85, 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 909, 108, 85, 542 i.e 1.

3. How can I use the GCD of 909, 108, 85, 542Calculator?

Out the numbers 909, 108, 85, 542 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.