GCD of 498, 921, 252, 442 Calculator

Given Input numbers are 498, 921, 252, 442

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

Divisors of 498 :

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

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

Divisors of 921 :

The positive integer divisors of 921 that completely divides 921 are.

1, 3, 307, 921

Divisors of 252 :

The positive integer divisors of 252 that completely divides 252 are.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

Divisors of 442 :

The positive integer divisors of 442 that completely divides 442 are.

1, 2, 13, 17, 26, 34, 221, 442

GCD of numbers is the greatest common divisor

So, the GCD (498, 921, 252, 442) = 1.

Given numbers are 498, 921, 252, 442

The list of prime factors of all numbers are

Prime factors of 498 are 2 x 3 x 83

Prime factors of 921 are 3 x 307

Prime factors of 252 are 2 x 2 x 3 x 3 x 7

Prime factors of 442 are 2 x 13 x 17

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

Given numbers are 498, 921, 252, 442

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

Apply this formula for all numbers.

Step1:

LCM(498, 921) = 152886

GCD(498, 921) = ( 498 x 921 ) / 152886

= 498 / 921

= 498

Step2:

LCM(3, 252) = 252

GCD(3, 252) = ( 3 x 252 ) / 252

= 3 / 252

= 3

Step3:

LCM(3, 442) = 1326

GCD(3, 442) = ( 3 x 442 ) / 1326

= 3 / 442

= 3

So, Greatest Common Divisor of 498, 921, 252, 442 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 956, 132, 289, 580
• GCD of 549, 245, 566, 940
• GCD of 523, 149, 305, 514
• GCD of 314, 357, 520, 406
• GCD of 473, 771, 451, 150

Given numbers are 498, 921, 252, 442
The greatest common divisor of numbers 498, 921, 252, 442 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 498, 921, 252, 442 is 1.

1. What is the GCD of 498, 921, 252, 442?

GCD of given numbers 498, 921, 252, 442 is 1

2. How to calculate the greatest common divisor of 498, 921, 252, 442?

We can find the highest common divisor of 498, 921, 252, 442 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 498, 921, 252, 442 i.e 1.

3. How can I use the GCD of 498, 921, 252, 442Calculator?

Out the numbers 498, 921, 252, 442 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.