GCD of 960, 294, 133, 400 Calculator

Given Input numbers are 960, 294, 133, 400

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 294 :

The positive integer divisors of 294 that completely divides 294 are.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

Divisors of 133 :

The positive integer divisors of 133 that completely divides 133 are.

1, 7, 19, 133

Divisors of 400 :

The positive integer divisors of 400 that completely divides 400 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

GCD of numbers is the greatest common divisor

So, the GCD (960, 294, 133, 400) = 1.

Given numbers are 960, 294, 133, 400

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 294 are 2 x 3 x 7 x 7

Prime factors of 133 are 7 x 19

Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5

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

Given numbers are 960, 294, 133, 400

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

Apply this formula for all numbers.

Step1:

LCM(960, 294) = 47040

GCD(960, 294) = ( 960 x 294 ) / 47040

= 960 / 294

= 960

Step2:

LCM(6, 133) = 798

GCD(6, 133) = ( 6 x 133 ) / 798

= 6 / 133

= 6

Step3:

LCM(1, 400) = 400

GCD(1, 400) = ( 1 x 400 ) / 400

= 1 / 400

= 1

So, Greatest Common Divisor of 960, 294, 133, 400 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 279, 994, 825, 106
• GCD of 735, 154, 301, 726
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Given numbers are 960, 294, 133, 400
The greatest common divisor of numbers 960, 294, 133, 400 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 960, 294, 133, 400 is 1.

1. What is the GCD of 960, 294, 133, 400?

GCD of given numbers 960, 294, 133, 400 is 1

2. How to calculate the greatest common divisor of 960, 294, 133, 400?

We can find the highest common divisor of 960, 294, 133, 400 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, 294, 133, 400 i.e 1.

3. How can I use the GCD of 960, 294, 133, 400Calculator?

Out the numbers 960, 294, 133, 400 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.