GCD of 960, 436, 278, 466 Calculator

Given Input numbers are 960, 436, 278, 466

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 436 :

The positive integer divisors of 436 that completely divides 436 are.

1, 2, 4, 109, 218, 436

Divisors of 278 :

The positive integer divisors of 278 that completely divides 278 are.

1, 2, 139, 278

Divisors of 466 :

The positive integer divisors of 466 that completely divides 466 are.

1, 2, 233, 466

GCD of numbers is the greatest common divisor

So, the GCD (960, 436, 278, 466) = 2.

Given numbers are 960, 436, 278, 466

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 436 are 2 x 2 x 109

Prime factors of 278 are 2 x 139

Prime factors of 466 are 2 x 233

The highest common occurrence is 2¹

Therefore, GCD of 960, 436, 278, 466 is 2.

Given numbers are 960, 436, 278, 466

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

Apply this formula for all numbers.

Step1:

LCM(960, 436) = 104640

GCD(960, 436) = ( 960 x 436 ) / 104640

= 960 / 436

= 960

Step2:

LCM(4, 278) = 556

GCD(4, 278) = ( 4 x 278 ) / 556

= 4 / 278

= 4

Step3:

LCM(2, 466) = 466

GCD(2, 466) = ( 2 x 466 ) / 466

= 2 / 466

= 2

So, Greatest Common Divisor of 960, 436, 278, 466 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 346, 154, 827, 661
• GCD of 771, 675, 480, 969
• GCD of 180, 213, 432, 334
• GCD of 228, 374, 923, 916
• GCD of 144, 498, 783, 192

Given numbers are 960, 436, 278, 466
The greatest common divisor of numbers 960, 436, 278, 466 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 960, 436, 278, 466 is 2.

1. What is the GCD of 960, 436, 278, 466?

GCD of given numbers 960, 436, 278, 466 is 2

2. How to calculate the greatest common divisor of 960, 436, 278, 466?

We can find the highest common divisor of 960, 436, 278, 466 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, 436, 278, 466 i.e 2.

3. How can I use the GCD of 960, 436, 278, 466Calculator?

Out the numbers 960, 436, 278, 466 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.