GCD of 121, 612, 400, 998 Calculator

Given Input numbers are 121, 612, 400, 998

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

Divisors of 121 :

The positive integer divisors of 121 that completely divides 121 are.

1, 11, 121

Divisors of 612 :

The positive integer divisors of 612 that completely divides 612 are.

1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

Divisors of 400 :

The positive integer divisors of 400 that completely divides 400 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

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 (121, 612, 400, 998) = 1.

Given numbers are 121, 612, 400, 998

The list of prime factors of all numbers are

Prime factors of 121 are 11 x 11

Prime factors of 612 are 2 x 2 x 3 x 3 x 17

Prime factors of 400 are 2 x 2 x 2 x 2 x 5 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 121, 612, 400, 998

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

Apply this formula for all numbers.

Step1:

LCM(121, 612) = 74052

GCD(121, 612) = ( 121 x 612 ) / 74052

= 121 / 612

= 121

Step2:

LCM(1, 400) = 400

GCD(1, 400) = ( 1 x 400 ) / 400

= 1 / 400

= 1

Step3:

LCM(1, 998) = 998

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

= 1 / 998

= 1

So, Greatest Common Divisor of 121, 612, 400, 998 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 745, 692, 122, 977
• GCD of 792, 117, 588, 998
• GCD of 251, 559, 459, 915
• GCD of 724, 113, 223, 394
• GCD of 978, 960, 592, 163

Given numbers are 121, 612, 400, 998
The greatest common divisor of numbers 121, 612, 400, 998 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 121, 612, 400, 998 is 1.

1. What is the GCD of 121, 612, 400, 998?

GCD of given numbers 121, 612, 400, 998 is 1

2. How to calculate the greatest common divisor of 121, 612, 400, 998?

We can find the highest common divisor of 121, 612, 400, 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 121, 612, 400, 998 i.e 1.

3. How can I use the GCD of 121, 612, 400, 998Calculator?

Out the numbers 121, 612, 400, 998 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.