GCD of 920, 132, 460, 953 Calculator

Given Input numbers are 920, 132, 460, 953

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

Divisors of 920 :

The positive integer divisors of 920 that completely divides 920 are.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

Divisors of 132 :

The positive integer divisors of 132 that completely divides 132 are.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

Divisors of 460 :

The positive integer divisors of 460 that completely divides 460 are.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

Divisors of 953 :

The positive integer divisors of 953 that completely divides 953 are.

1, 953

GCD of numbers is the greatest common divisor

So, the GCD (920, 132, 460, 953) = 1.

Given numbers are 920, 132, 460, 953

The list of prime factors of all numbers are

Prime factors of 920 are 2 x 2 x 2 x 5 x 23

Prime factors of 132 are 2 x 2 x 3 x 11

Prime factors of 460 are 2 x 2 x 5 x 23

Prime factors of 953 are 953

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

Given numbers are 920, 132, 460, 953

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

Apply this formula for all numbers.

Step1:

LCM(920, 132) = 30360

GCD(920, 132) = ( 920 x 132 ) / 30360

= 920 / 132

= 920

Step2:

LCM(4, 460) = 460

GCD(4, 460) = ( 4 x 460 ) / 460

= 4 / 460

= 4

Step3:

LCM(4, 953) = 3812

GCD(4, 953) = ( 4 x 953 ) / 3812

= 4 / 953

= 4

So, Greatest Common Divisor of 920, 132, 460, 953 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 709, 998, 885, 506
• GCD of 482, 376, 569, 721
• GCD of 632, 586, 517, 615
• GCD of 417, 894, 306, 651
• GCD of 280, 217, 912, 727

Given numbers are 920, 132, 460, 953
The greatest common divisor of numbers 920, 132, 460, 953 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 920, 132, 460, 953 is 1.

1. What is the GCD of 920, 132, 460, 953?

GCD of given numbers 920, 132, 460, 953 is 1

2. How to calculate the greatest common divisor of 920, 132, 460, 953?

We can find the highest common divisor of 920, 132, 460, 953 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 920, 132, 460, 953 i.e 1.

3. How can I use the GCD of 920, 132, 460, 953Calculator?

Out the numbers 920, 132, 460, 953 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.