GCD of 147, 966, 409, 990 Calculator

Given Input numbers are 147, 966, 409, 990

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

Divisors of 147 :

The positive integer divisors of 147 that completely divides 147 are.

1, 3, 7, 21, 49, 147

Divisors of 966 :

The positive integer divisors of 966 that completely divides 966 are.

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

Divisors of 409 :

The positive integer divisors of 409 that completely divides 409 are.

1, 409

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

GCD of numbers is the greatest common divisor

So, the GCD (147, 966, 409, 990) = 1.

Given numbers are 147, 966, 409, 990

The list of prime factors of all numbers are

Prime factors of 147 are 3 x 7 x 7

Prime factors of 966 are 2 x 3 x 7 x 23

Prime factors of 409 are 409

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

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

Given numbers are 147, 966, 409, 990

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

Apply this formula for all numbers.

Step1:

LCM(147, 966) = 6762

GCD(147, 966) = ( 147 x 966 ) / 6762

= 147 / 966

= 147

Step2:

LCM(21, 409) = 8589

GCD(21, 409) = ( 21 x 409 ) / 8589

= 21 / 409

= 21

Step3:

LCM(1, 990) = 990

GCD(1, 990) = ( 1 x 990 ) / 990

= 1 / 990

= 1

So, Greatest Common Divisor of 147, 966, 409, 990 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 841, 651, 272, 751
• GCD of 822, 669, 445, 219
• GCD of 671, 928, 158, 793
• GCD of 832, 914, 433, 966
• GCD of 902, 950, 258, 448

Given numbers are 147, 966, 409, 990
The greatest common divisor of numbers 147, 966, 409, 990 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 147, 966, 409, 990 is 1.

1. What is the GCD of 147, 966, 409, 990?

GCD of given numbers 147, 966, 409, 990 is 1

2. How to calculate the greatest common divisor of 147, 966, 409, 990?

We can find the highest common divisor of 147, 966, 409, 990 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 147, 966, 409, 990 i.e 1.

3. How can I use the GCD of 147, 966, 409, 990Calculator?

Out the numbers 147, 966, 409, 990 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.