GCD of 441, 460, 975, 480 Calculator

Given Input numbers are 441, 460, 975, 480

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

Divisors of 441 :

The positive integer divisors of 441 that completely divides 441 are.

1, 3, 7, 9, 21, 49, 63, 147, 441

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 975 :

The positive integer divisors of 975 that completely divides 975 are.

1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

Divisors of 480 :

The positive integer divisors of 480 that completely divides 480 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

GCD of numbers is the greatest common divisor

So, the GCD (441, 460, 975, 480) = 1.

Given numbers are 441, 460, 975, 480

The list of prime factors of all numbers are

Prime factors of 441 are 3 x 3 x 7 x 7

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

Prime factors of 975 are 3 x 5 x 5 x 13

Prime factors of 480 are 2 x 2 x 2 x 2 x 2 x 3 x 5

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

Given numbers are 441, 460, 975, 480

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

Apply this formula for all numbers.

Step1:

LCM(441, 460) = 202860

GCD(441, 460) = ( 441 x 460 ) / 202860

= 441 / 460

= 441

Step2:

LCM(1, 975) = 975

GCD(1, 975) = ( 1 x 975 ) / 975

= 1 / 975

= 1

Step3:

LCM(1, 480) = 480

GCD(1, 480) = ( 1 x 480 ) / 480

= 1 / 480

= 1

So, Greatest Common Divisor of 441, 460, 975, 480 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 774, 737, 701, 840
• GCD of 549, 786, 281, 232
• GCD of 467, 740, 878, 527
• GCD of 219, 590, 105, 896
• GCD of 203, 122, 787, 905

Given numbers are 441, 460, 975, 480
The greatest common divisor of numbers 441, 460, 975, 480 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 441, 460, 975, 480 is 1.

1. What is the GCD of 441, 460, 975, 480?

GCD of given numbers 441, 460, 975, 480 is 1

2. How to calculate the greatest common divisor of 441, 460, 975, 480?

We can find the highest common divisor of 441, 460, 975, 480 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 441, 460, 975, 480 i.e 1.

3. How can I use the GCD of 441, 460, 975, 480Calculator?

Out the numbers 441, 460, 975, 480 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.