GCD of 442, 409, 598, 980 Calculator

Given Input numbers are 442, 409, 598, 980

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

Divisors of 442 :

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

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

Divisors of 409 :

The positive integer divisors of 409 that completely divides 409 are.

1, 409

Divisors of 598 :

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

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

Divisors of 980 :

The positive integer divisors of 980 that completely divides 980 are.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980

GCD of numbers is the greatest common divisor

So, the GCD (442, 409, 598, 980) = 1.

Given numbers are 442, 409, 598, 980

The list of prime factors of all numbers are

Prime factors of 442 are 2 x 13 x 17

Prime factors of 409 are 409

Prime factors of 598 are 2 x 13 x 23

Prime factors of 980 are 2 x 2 x 5 x 7 x 7

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

Given numbers are 442, 409, 598, 980

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

Apply this formula for all numbers.

Step1:

LCM(442, 409) = 180778

GCD(442, 409) = ( 442 x 409 ) / 180778

= 442 / 409

= 442

Step2:

LCM(1, 598) = 598

GCD(1, 598) = ( 1 x 598 ) / 598

= 1 / 598

= 1

Step3:

LCM(1, 980) = 980

GCD(1, 980) = ( 1 x 980 ) / 980

= 1 / 980

= 1

So, Greatest Common Divisor of 442, 409, 598, 980 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 397, 945, 673, 322
• GCD of 400, 766, 481, 489
• GCD of 167, 317, 568, 372
• GCD of 112, 700, 355, 778
• GCD of 854, 619, 138, 260

Given numbers are 442, 409, 598, 980
The greatest common divisor of numbers 442, 409, 598, 980 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 442, 409, 598, 980 is 1.

1. What is the GCD of 442, 409, 598, 980?

GCD of given numbers 442, 409, 598, 980 is 1

2. How to calculate the greatest common divisor of 442, 409, 598, 980?

We can find the highest common divisor of 442, 409, 598, 980 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 442, 409, 598, 980 i.e 1.

3. How can I use the GCD of 442, 409, 598, 980Calculator?

Out the numbers 442, 409, 598, 980 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.