GCD of 960, 540, 508, 464 Calculator

Given Input numbers are 960, 540, 508, 464

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 540 :

The positive integer divisors of 540 that completely divides 540 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

Divisors of 508 :

The positive integer divisors of 508 that completely divides 508 are.

1, 2, 4, 127, 254, 508

Divisors of 464 :

The positive integer divisors of 464 that completely divides 464 are.

1, 2, 4, 8, 16, 29, 58, 116, 232, 464

GCD of numbers is the greatest common divisor

So, the GCD (960, 540, 508, 464) = 4.

Given numbers are 960, 540, 508, 464

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 540 are 2 x 2 x 3 x 3 x 3 x 5

Prime factors of 508 are 2 x 2 x 127

Prime factors of 464 are 2 x 2 x 2 x 2 x 29

The highest common occurrence is 2²

Therefore, GCD of 960, 540, 508, 464 is 4.

Given numbers are 960, 540, 508, 464

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

Apply this formula for all numbers.

Step1:

LCM(960, 540) = 8640

GCD(960, 540) = ( 960 x 540 ) / 8640

= 960 / 540

= 960

Step2:

LCM(60, 508) = 7620

GCD(60, 508) = ( 60 x 508 ) / 7620

= 60 / 508

= 60

Step3:

LCM(4, 464) = 464

GCD(4, 464) = ( 4 x 464 ) / 464

= 4 / 464

= 4

So, Greatest Common Divisor of 960, 540, 508, 464 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 847, 678, 329, 328
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Given numbers are 960, 540, 508, 464
The greatest common divisor of numbers 960, 540, 508, 464 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 960, 540, 508, 464 is 4.

1. What is the GCD of 960, 540, 508, 464?

GCD of given numbers 960, 540, 508, 464 is 4

2. How to calculate the greatest common divisor of 960, 540, 508, 464?

We can find the highest common divisor of 960, 540, 508, 464 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, 540, 508, 464 i.e 4.

3. How can I use the GCD of 960, 540, 508, 464Calculator?

Out the numbers 960, 540, 508, 464 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.