GCD of 975, 450, 381, 488 Calculator

Given Input numbers are 975, 450, 381, 488

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

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 450 :

The positive integer divisors of 450 that completely divides 450 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

Divisors of 381 :

The positive integer divisors of 381 that completely divides 381 are.

1, 3, 127, 381

Divisors of 488 :

The positive integer divisors of 488 that completely divides 488 are.

1, 2, 4, 8, 61, 122, 244, 488

GCD of numbers is the greatest common divisor

So, the GCD (975, 450, 381, 488) = 1.

Given numbers are 975, 450, 381, 488

The list of prime factors of all numbers are

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

Prime factors of 450 are 2 x 3 x 3 x 5 x 5

Prime factors of 381 are 3 x 127

Prime factors of 488 are 2 x 2 x 2 x 61

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

Given numbers are 975, 450, 381, 488

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

Apply this formula for all numbers.

Step1:

LCM(975, 450) = 5850

GCD(975, 450) = ( 975 x 450 ) / 5850

= 975 / 450

= 975

Step2:

LCM(75, 381) = 9525

GCD(75, 381) = ( 75 x 381 ) / 9525

= 75 / 381

= 75

Step3:

LCM(3, 488) = 1464

GCD(3, 488) = ( 3 x 488 ) / 1464

= 3 / 488

= 3

So, Greatest Common Divisor of 975, 450, 381, 488 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 114, 185, 337, 184
• GCD of 630, 373, 351, 768
• GCD of 681, 184, 258, 427
• GCD of 117, 145, 720, 315
• GCD of 907, 663, 233, 802

Given numbers are 975, 450, 381, 488
The greatest common divisor of numbers 975, 450, 381, 488 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 975, 450, 381, 488 is 1.

1. What is the GCD of 975, 450, 381, 488?

GCD of given numbers 975, 450, 381, 488 is 1

2. How to calculate the greatest common divisor of 975, 450, 381, 488?

We can find the highest common divisor of 975, 450, 381, 488 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 975, 450, 381, 488 i.e 1.

3. How can I use the GCD of 975, 450, 381, 488Calculator?

Out the numbers 975, 450, 381, 488 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.