GCD of 354, 570, 99, 963 Calculator

Given Input numbers are 354, 570, 99, 963

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

Divisors of 354 :

The positive integer divisors of 354 that completely divides 354 are.

1, 2, 3, 6, 59, 118, 177, 354

Divisors of 570 :

The positive integer divisors of 570 that completely divides 570 are.

1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570

Divisors of 99 :

The positive integer divisors of 99 that completely divides 99 are.

1, 3, 9, 11, 33, 99

Divisors of 963 :

The positive integer divisors of 963 that completely divides 963 are.

1, 3, 9, 107, 321, 963

GCD of numbers is the greatest common divisor

So, the GCD (354, 570, 99, 963) = 3.

Given numbers are 354, 570, 99, 963

The list of prime factors of all numbers are

Prime factors of 354 are 2 x 3 x 59

Prime factors of 570 are 2 x 3 x 5 x 19

Prime factors of 99 are 3 x 3 x 11

Prime factors of 963 are 3 x 3 x 107

The highest common occurrence is 3¹

Therefore, GCD of 354, 570, 99, 963 is 3.

Given numbers are 354, 570, 99, 963

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

Apply this formula for all numbers.

Step1:

LCM(354, 570) = 33630

GCD(354, 570) = ( 354 x 570 ) / 33630

= 354 / 570

= 354

Step2:

LCM(6, 99) = 198

GCD(6, 99) = ( 6 x 99 ) / 198

= 6 / 99

= 6

Step3:

LCM(3, 963) = 963

GCD(3, 963) = ( 3 x 963 ) / 963

= 3 / 963

= 3

So, Greatest Common Divisor of 354, 570, 99, 963 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 969, 204, 70, 482
• GCD of 550, 774, 59, 218
• GCD of 508, 330, 70, 401
• GCD of 528, 182, 92, 622
• GCD of 423, 369, 43, 456

Given numbers are 354, 570, 99, 963
The greatest common divisor of numbers 354, 570, 99, 963 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 354, 570, 99, 963 is 3.

1. What is the GCD of 354, 570, 99, 963?

GCD of given numbers 354, 570, 99, 963 is 3

2. How to calculate the greatest common divisor of 354, 570, 99, 963?

We can find the highest common divisor of 354, 570, 99, 963 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 354, 570, 99, 963 i.e 3.

3. How can I use the GCD of 354, 570, 99, 963Calculator?

Out the numbers 354, 570, 99, 963 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.