GCD of 542, 909, 498, 225 Calculator

Given Input numbers are 542, 909, 498, 225

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

Divisors of 542 :

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

1, 2, 271, 542

Divisors of 909 :

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

1, 3, 9, 101, 303, 909

Divisors of 498 :

The positive integer divisors of 498 that completely divides 498 are.

1, 2, 3, 6, 83, 166, 249, 498

Divisors of 225 :

The positive integer divisors of 225 that completely divides 225 are.

1, 3, 5, 9, 15, 25, 45, 75, 225

GCD of numbers is the greatest common divisor

So, the GCD (542, 909, 498, 225) = 1.

Given numbers are 542, 909, 498, 225

The list of prime factors of all numbers are

Prime factors of 542 are 2 x 271

Prime factors of 909 are 3 x 3 x 101

Prime factors of 498 are 2 x 3 x 83

Prime factors of 225 are 3 x 3 x 5 x 5

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

Given numbers are 542, 909, 498, 225

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

Apply this formula for all numbers.

Step1:

LCM(542, 909) = 492678

GCD(542, 909) = ( 542 x 909 ) / 492678

= 542 / 909

= 542

Step2:

LCM(1, 498) = 498

GCD(1, 498) = ( 1 x 498 ) / 498

= 1 / 498

= 1

Step3:

LCM(1, 225) = 225

GCD(1, 225) = ( 1 x 225 ) / 225

= 1 / 225

= 1

So, Greatest Common Divisor of 542, 909, 498, 225 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 482, 117, 637, 830
• GCD of 536, 274, 310, 938
• GCD of 957, 488, 113, 780
• GCD of 104, 235, 851, 367
• GCD of 464, 301, 411, 617

Given numbers are 542, 909, 498, 225
The greatest common divisor of numbers 542, 909, 498, 225 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 542, 909, 498, 225 is 1.

1. What is the GCD of 542, 909, 498, 225?

GCD of given numbers 542, 909, 498, 225 is 1

2. How to calculate the greatest common divisor of 542, 909, 498, 225?

We can find the highest common divisor of 542, 909, 498, 225 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 542, 909, 498, 225 i.e 1.

3. How can I use the GCD of 542, 909, 498, 225Calculator?

Out the numbers 542, 909, 498, 225 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.