GCD of 996, 959, 684, 450 Calculator

Given Input numbers are 996, 959, 684, 450

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

Divisors of 996 :

The positive integer divisors of 996 that completely divides 996 are.

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

Divisors of 959 :

The positive integer divisors of 959 that completely divides 959 are.

1, 7, 137, 959

Divisors of 684 :

The positive integer divisors of 684 that completely divides 684 are.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

Divisors of 450 :

The positive integer divisors of 450 that completely divides 450 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

GCD of numbers is the greatest common divisor

So, the GCD (996, 959, 684, 450) = 1.

Given numbers are 996, 959, 684, 450

The list of prime factors of all numbers are

Prime factors of 996 are 2 x 2 x 3 x 83

Prime factors of 959 are 7 x 137

Prime factors of 684 are 2 x 2 x 3 x 3 x 19

Prime factors of 450 are 2 x 3 x 3 x 5 x 5

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

Given numbers are 996, 959, 684, 450

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

Apply this formula for all numbers.

Step1:

LCM(996, 959) = 955164

GCD(996, 959) = ( 996 x 959 ) / 955164

= 996 / 959

= 996

Step2:

LCM(1, 684) = 684

GCD(1, 684) = ( 1 x 684 ) / 684

= 1 / 684

= 1

Step3:

LCM(1, 450) = 450

GCD(1, 450) = ( 1 x 450 ) / 450

= 1 / 450

= 1

So, Greatest Common Divisor of 996, 959, 684, 450 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 178, 190, 597, 580
• GCD of 296, 521, 293, 494
• GCD of 148, 831, 521, 549
• GCD of 475, 673, 416, 391
• GCD of 654, 734, 968, 780

Given numbers are 996, 959, 684, 450
The greatest common divisor of numbers 996, 959, 684, 450 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 996, 959, 684, 450 is 1.

1. What is the GCD of 996, 959, 684, 450?

GCD of given numbers 996, 959, 684, 450 is 1

2. How to calculate the greatest common divisor of 996, 959, 684, 450?

We can find the highest common divisor of 996, 959, 684, 450 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 996, 959, 684, 450 i.e 1.

3. How can I use the GCD of 996, 959, 684, 450Calculator?

Out the numbers 996, 959, 684, 450 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.