GCD of 821, 117, 90, 998 Calculator

Given Input numbers are 821, 117, 90, 998

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

Divisors of 821 :

The positive integer divisors of 821 that completely divides 821 are.

1, 821

Divisors of 117 :

The positive integer divisors of 117 that completely divides 117 are.

1, 3, 9, 13, 39, 117

Divisors of 90 :

The positive integer divisors of 90 that completely divides 90 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

Divisors of 998 :

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

1, 2, 499, 998

GCD of numbers is the greatest common divisor

So, the GCD (821, 117, 90, 998) = 1.

Given numbers are 821, 117, 90, 998

The list of prime factors of all numbers are

Prime factors of 821 are 821

Prime factors of 117 are 3 x 3 x 13

Prime factors of 90 are 2 x 3 x 3 x 5

Prime factors of 998 are 2 x 499

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

Given numbers are 821, 117, 90, 998

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

Apply this formula for all numbers.

Step1:

LCM(821, 117) = 96057

GCD(821, 117) = ( 821 x 117 ) / 96057

= 821 / 117

= 821

Step2:

LCM(1, 90) = 90

GCD(1, 90) = ( 1 x 90 ) / 90

= 1 / 90

= 1

Step3:

LCM(1, 998) = 998

GCD(1, 998) = ( 1 x 998 ) / 998

= 1 / 998

= 1

So, Greatest Common Divisor of 821, 117, 90, 998 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 112, 896, 70, 910
• GCD of 980, 604, 72, 861
• GCD of 146, 464, 13, 431
• GCD of 317, 124, 37, 471
• GCD of 115, 612, 85, 418

Given numbers are 821, 117, 90, 998
The greatest common divisor of numbers 821, 117, 90, 998 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 821, 117, 90, 998 is 1.

1. What is the GCD of 821, 117, 90, 998?

GCD of given numbers 821, 117, 90, 998 is 1

2. How to calculate the greatest common divisor of 821, 117, 90, 998?

We can find the highest common divisor of 821, 117, 90, 998 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 821, 117, 90, 998 i.e 1.

3. How can I use the GCD of 821, 117, 90, 998Calculator?

Out the numbers 821, 117, 90, 998 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.