GCD of 354, 107, 576, 960 Calculator

Given Input numbers are 354, 107, 576, 960

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 107 :

The positive integer divisors of 107 that completely divides 107 are.

1, 107

Divisors of 576 :

The positive integer divisors of 576 that completely divides 576 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

Divisors of 960 :

The positive integer divisors of 960 that completely divides 960 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

GCD of numbers is the greatest common divisor

So, the GCD (354, 107, 576, 960) = 1.

Given numbers are 354, 107, 576, 960

The list of prime factors of all numbers are

Prime factors of 354 are 2 x 3 x 59

Prime factors of 107 are 107

Prime factors of 576 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime factors of 960 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

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

Given numbers are 354, 107, 576, 960

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

Apply this formula for all numbers.

Step1:

LCM(354, 107) = 37878

GCD(354, 107) = ( 354 x 107 ) / 37878

= 354 / 107

= 354

Step2:

LCM(1, 576) = 576

GCD(1, 576) = ( 1 x 576 ) / 576

= 1 / 576

= 1

Step3:

LCM(1, 960) = 960

GCD(1, 960) = ( 1 x 960 ) / 960

= 1 / 960

= 1

So, Greatest Common Divisor of 354, 107, 576, 960 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 666, 943, 143, 863
• GCD of 460, 168, 843, 891
• GCD of 220, 846, 220, 565
• GCD of 609, 575, 349, 987
• GCD of 269, 275, 919, 664

Given numbers are 354, 107, 576, 960
The greatest common divisor of numbers 354, 107, 576, 960 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 354, 107, 576, 960 is 1.

1. What is the GCD of 354, 107, 576, 960?

GCD of given numbers 354, 107, 576, 960 is 1

2. How to calculate the greatest common divisor of 354, 107, 576, 960?

We can find the highest common divisor of 354, 107, 576, 960 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, 107, 576, 960 i.e 1.

3. How can I use the GCD of 354, 107, 576, 960Calculator?

Out the numbers 354, 107, 576, 960 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.