GCD of 598, 109, 462, 242 Calculator

Given Input numbers are 598, 109, 462, 242

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

Divisors of 598 :

The positive integer divisors of 598 that completely divides 598 are.

1, 2, 13, 23, 26, 46, 299, 598

Divisors of 109 :

The positive integer divisors of 109 that completely divides 109 are.

1, 109

Divisors of 462 :

The positive integer divisors of 462 that completely divides 462 are.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

Divisors of 242 :

The positive integer divisors of 242 that completely divides 242 are.

1, 2, 11, 22, 121, 242

GCD of numbers is the greatest common divisor

So, the GCD (598, 109, 462, 242) = 1.

Given numbers are 598, 109, 462, 242

The list of prime factors of all numbers are

Prime factors of 598 are 2 x 13 x 23

Prime factors of 109 are 109

Prime factors of 462 are 2 x 3 x 7 x 11

Prime factors of 242 are 2 x 11 x 11

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

Given numbers are 598, 109, 462, 242

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

Apply this formula for all numbers.

Step1:

LCM(598, 109) = 65182

GCD(598, 109) = ( 598 x 109 ) / 65182

= 598 / 109

= 598

Step2:

LCM(1, 462) = 462

GCD(1, 462) = ( 1 x 462 ) / 462

= 1 / 462

= 1

Step3:

LCM(1, 242) = 242

GCD(1, 242) = ( 1 x 242 ) / 242

= 1 / 242

= 1

So, Greatest Common Divisor of 598, 109, 462, 242 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 966, 790, 690, 927
• GCD of 377, 794, 782, 811
• GCD of 584, 674, 747, 480
• GCD of 437, 827, 398, 411
• GCD of 394, 341, 321, 334

Given numbers are 598, 109, 462, 242
The greatest common divisor of numbers 598, 109, 462, 242 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 598, 109, 462, 242 is 1.

1. What is the GCD of 598, 109, 462, 242?

GCD of given numbers 598, 109, 462, 242 is 1

2. How to calculate the greatest common divisor of 598, 109, 462, 242?

We can find the highest common divisor of 598, 109, 462, 242 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 598, 109, 462, 242 i.e 1.

3. How can I use the GCD of 598, 109, 462, 242Calculator?

Out the numbers 598, 109, 462, 242 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.