GCD of 990, 412, 358, 974 Calculator

Given Input numbers are 990, 412, 358, 974

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

Divisors of 990 :

The positive integer divisors of 990 that completely divides 990 are.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

Divisors of 412 :

The positive integer divisors of 412 that completely divides 412 are.

1, 2, 4, 103, 206, 412

Divisors of 358 :

The positive integer divisors of 358 that completely divides 358 are.

1, 2, 179, 358

Divisors of 974 :

The positive integer divisors of 974 that completely divides 974 are.

1, 2, 487, 974

GCD of numbers is the greatest common divisor

So, the GCD (990, 412, 358, 974) = 2.

Given numbers are 990, 412, 358, 974

The list of prime factors of all numbers are

Prime factors of 990 are 2 x 3 x 3 x 5 x 11

Prime factors of 412 are 2 x 2 x 103

Prime factors of 358 are 2 x 179

Prime factors of 974 are 2 x 487

The highest common occurrence is 2¹

Therefore, GCD of 990, 412, 358, 974 is 2.

Given numbers are 990, 412, 358, 974

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

Apply this formula for all numbers.

Step1:

LCM(990, 412) = 203940

GCD(990, 412) = ( 990 x 412 ) / 203940

= 990 / 412

= 990

Step2:

LCM(2, 358) = 358

GCD(2, 358) = ( 2 x 358 ) / 358

= 2 / 358

= 2

Step3:

LCM(2, 974) = 974

GCD(2, 974) = ( 2 x 974 ) / 974

= 2 / 974

= 2

So, Greatest Common Divisor of 990, 412, 358, 974 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 820, 147, 314, 999
• GCD of 473, 934, 334, 562
• GCD of 404, 660, 905, 500
• GCD of 781, 955, 592, 956
• GCD of 928, 261, 164, 577

Given numbers are 990, 412, 358, 974
The greatest common divisor of numbers 990, 412, 358, 974 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 990, 412, 358, 974 is 2.

1. What is the GCD of 990, 412, 358, 974?

GCD of given numbers 990, 412, 358, 974 is 2

2. How to calculate the greatest common divisor of 990, 412, 358, 974?

We can find the highest common divisor of 990, 412, 358, 974 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 990, 412, 358, 974 i.e 2.

3. How can I use the GCD of 990, 412, 358, 974Calculator?

Out the numbers 990, 412, 358, 974 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.