GCD of 342, 960, 639, 561 Calculator

Given Input numbers are 342, 960, 639, 561

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

Divisors of 342 :

The positive integer divisors of 342 that completely divides 342 are.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

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

Divisors of 639 :

The positive integer divisors of 639 that completely divides 639 are.

1, 3, 9, 71, 213, 639

Divisors of 561 :

The positive integer divisors of 561 that completely divides 561 are.

1, 3, 11, 17, 33, 51, 187, 561

GCD of numbers is the greatest common divisor

So, the GCD (342, 960, 639, 561) = 3.

Given numbers are 342, 960, 639, 561

The list of prime factors of all numbers are

Prime factors of 342 are 2 x 3 x 3 x 19

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

Prime factors of 639 are 3 x 3 x 71

Prime factors of 561 are 3 x 11 x 17

The highest common occurrence is 3¹

Therefore, GCD of 342, 960, 639, 561 is 3.

Given numbers are 342, 960, 639, 561

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

Apply this formula for all numbers.

Step1:

LCM(342, 960) = 54720

GCD(342, 960) = ( 342 x 960 ) / 54720

= 342 / 960

= 342

Step2:

LCM(6, 639) = 1278

GCD(6, 639) = ( 6 x 639 ) / 1278

= 6 / 639

= 6

Step3:

LCM(3, 561) = 561

GCD(3, 561) = ( 3 x 561 ) / 561

= 3 / 561

= 3

So, Greatest Common Divisor of 342, 960, 639, 561 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 917, 140, 892, 553
• GCD of 598, 403, 823, 168
• GCD of 579, 817, 871, 401
• GCD of 916, 818, 573, 276
• GCD of 923, 497, 355, 257

Given numbers are 342, 960, 639, 561
The greatest common divisor of numbers 342, 960, 639, 561 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 342, 960, 639, 561 is 3.

1. What is the GCD of 342, 960, 639, 561?

GCD of given numbers 342, 960, 639, 561 is 3

2. How to calculate the greatest common divisor of 342, 960, 639, 561?

We can find the highest common divisor of 342, 960, 639, 561 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 342, 960, 639, 561 i.e 3.

3. How can I use the GCD of 342, 960, 639, 561Calculator?

Out the numbers 342, 960, 639, 561 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.