GCD of 990, 965, 987, 829 Calculator

Given Input numbers are 990, 965, 987, 829

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 965 :

The positive integer divisors of 965 that completely divides 965 are.

1, 5, 193, 965

Divisors of 987 :

The positive integer divisors of 987 that completely divides 987 are.

1, 3, 7, 21, 47, 141, 329, 987

Divisors of 829 :

The positive integer divisors of 829 that completely divides 829 are.

1, 829

GCD of numbers is the greatest common divisor

So, the GCD (990, 965, 987, 829) = 1.

Given numbers are 990, 965, 987, 829

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 965 are 5 x 193

Prime factors of 987 are 3 x 7 x 47

Prime factors of 829 are 829

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

Given numbers are 990, 965, 987, 829

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

Apply this formula for all numbers.

Step1:

LCM(990, 965) = 191070

GCD(990, 965) = ( 990 x 965 ) / 191070

= 990 / 965

= 990

Step2:

LCM(5, 987) = 4935

GCD(5, 987) = ( 5 x 987 ) / 4935

= 5 / 987

= 5

Step3:

LCM(1, 829) = 829

GCD(1, 829) = ( 1 x 829 ) / 829

= 1 / 829

= 1

So, Greatest Common Divisor of 990, 965, 987, 829 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 642, 185, 343, 978
• GCD of 598, 131, 676, 922
• GCD of 158, 526, 833, 111
• GCD of 506, 368, 486, 766
• GCD of 178, 841, 712, 829

Given numbers are 990, 965, 987, 829
The greatest common divisor of numbers 990, 965, 987, 829 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 990, 965, 987, 829 is 1.

1. What is the GCD of 990, 965, 987, 829?

GCD of given numbers 990, 965, 987, 829 is 1

2. How to calculate the greatest common divisor of 990, 965, 987, 829?

We can find the highest common divisor of 990, 965, 987, 829 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, 965, 987, 829 i.e 1.

3. How can I use the GCD of 990, 965, 987, 829Calculator?

Out the numbers 990, 965, 987, 829 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.