GCD of 960, 147, 342, 264 Calculator

Given Input numbers are 960, 147, 342, 264

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

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 147 :

The positive integer divisors of 147 that completely divides 147 are.

1, 3, 7, 21, 49, 147

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 264 :

The positive integer divisors of 264 that completely divides 264 are.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

GCD of numbers is the greatest common divisor

So, the GCD (960, 147, 342, 264) = 3.

Given numbers are 960, 147, 342, 264

The list of prime factors of all numbers are

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

Prime factors of 147 are 3 x 7 x 7

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

Prime factors of 264 are 2 x 2 x 2 x 3 x 11

The highest common occurrence is 3¹

Therefore, GCD of 960, 147, 342, 264 is 3.

Given numbers are 960, 147, 342, 264

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

Apply this formula for all numbers.

Step1:

LCM(960, 147) = 47040

GCD(960, 147) = ( 960 x 147 ) / 47040

= 960 / 147

= 960

Step2:

LCM(3, 342) = 342

GCD(3, 342) = ( 3 x 342 ) / 342

= 3 / 342

= 3

Step3:

LCM(3, 264) = 264

GCD(3, 264) = ( 3 x 264 ) / 264

= 3 / 264

= 3

So, Greatest Common Divisor of 960, 147, 342, 264 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 880, 618, 252, 388
• GCD of 225, 830, 699, 708
• GCD of 190, 133, 942, 524
• GCD of 226, 474, 320, 927
• GCD of 833, 683, 979, 690

Given numbers are 960, 147, 342, 264
The greatest common divisor of numbers 960, 147, 342, 264 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 960, 147, 342, 264 is 3.

1. What is the GCD of 960, 147, 342, 264?

GCD of given numbers 960, 147, 342, 264 is 3

2. How to calculate the greatest common divisor of 960, 147, 342, 264?

We can find the highest common divisor of 960, 147, 342, 264 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 960, 147, 342, 264 i.e 3.

3. How can I use the GCD of 960, 147, 342, 264Calculator?

Out the numbers 960, 147, 342, 264 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.