GCD of 987, 578, 395, 355 Calculator

Given Input numbers are 987, 578, 395, 355

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

Divisors of 987 :

The positive integer divisors of 987 that completely divides 987 are.

1, 3, 7, 21, 47, 141, 329, 987

Divisors of 578 :

The positive integer divisors of 578 that completely divides 578 are.

1, 2, 17, 34, 289, 578

Divisors of 395 :

The positive integer divisors of 395 that completely divides 395 are.

1, 5, 79, 395

Divisors of 355 :

The positive integer divisors of 355 that completely divides 355 are.

1, 5, 71, 355

GCD of numbers is the greatest common divisor

So, the GCD (987, 578, 395, 355) = 1.

Given numbers are 987, 578, 395, 355

The list of prime factors of all numbers are

Prime factors of 987 are 3 x 7 x 47

Prime factors of 578 are 2 x 17 x 17

Prime factors of 395 are 5 x 79

Prime factors of 355 are 5 x 71

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

Given numbers are 987, 578, 395, 355

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

Apply this formula for all numbers.

Step1:

LCM(987, 578) = 570486

GCD(987, 578) = ( 987 x 578 ) / 570486

= 987 / 578

= 987

Step2:

LCM(1, 395) = 395

GCD(1, 395) = ( 1 x 395 ) / 395

= 1 / 395

= 1

Step3:

LCM(1, 355) = 355

GCD(1, 355) = ( 1 x 355 ) / 355

= 1 / 355

= 1

So, Greatest Common Divisor of 987, 578, 395, 355 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 808, 340, 442, 464
• GCD of 204, 480, 702, 442
• GCD of 855, 301, 199, 478
• GCD of 271, 574, 585, 859
• GCD of 676, 545, 839, 170

Given numbers are 987, 578, 395, 355
The greatest common divisor of numbers 987, 578, 395, 355 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 987, 578, 395, 355 is 1.

1. What is the GCD of 987, 578, 395, 355?

GCD of given numbers 987, 578, 395, 355 is 1

2. How to calculate the greatest common divisor of 987, 578, 395, 355?

We can find the highest common divisor of 987, 578, 395, 355 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 987, 578, 395, 355 i.e 1.

3. How can I use the GCD of 987, 578, 395, 355Calculator?

Out the numbers 987, 578, 395, 355 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.