GCD of 998, 416, 858, 355 Calculator

Given Input numbers are 998, 416, 858, 355

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

Divisors of 998 :

The positive integer divisors of 998 that completely divides 998 are.

1, 2, 499, 998

Divisors of 416 :

The positive integer divisors of 416 that completely divides 416 are.

1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

Divisors of 858 :

The positive integer divisors of 858 that completely divides 858 are.

1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858

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 (998, 416, 858, 355) = 1.

Given numbers are 998, 416, 858, 355

The list of prime factors of all numbers are

Prime factors of 998 are 2 x 499

Prime factors of 416 are 2 x 2 x 2 x 2 x 2 x 13

Prime factors of 858 are 2 x 3 x 11 x 13

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 998, 416, 858, 355

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

Apply this formula for all numbers.

Step1:

LCM(998, 416) = 207584

GCD(998, 416) = ( 998 x 416 ) / 207584

= 998 / 416

= 998

Step2:

LCM(2, 858) = 858

GCD(2, 858) = ( 2 x 858 ) / 858

= 2 / 858

= 2

Step3:

LCM(2, 355) = 710

GCD(2, 355) = ( 2 x 355 ) / 710

= 2 / 355

= 2

So, Greatest Common Divisor of 998, 416, 858, 355 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 188, 873, 493, 418
• GCD of 598, 497, 334, 715
• GCD of 253, 850, 836, 776
• GCD of 716, 456, 636, 718
• GCD of 573, 412, 160, 973

Given numbers are 998, 416, 858, 355
The greatest common divisor of numbers 998, 416, 858, 355 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 998, 416, 858, 355 is 1.

1. What is the GCD of 998, 416, 858, 355?

GCD of given numbers 998, 416, 858, 355 is 1

2. How to calculate the greatest common divisor of 998, 416, 858, 355?

We can find the highest common divisor of 998, 416, 858, 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 998, 416, 858, 355 i.e 1.

3. How can I use the GCD of 998, 416, 858, 355Calculator?

Out the numbers 998, 416, 858, 355 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.