GCD of 147, 825, 311, 384 Calculator

Given Input numbers are 147, 825, 311, 384

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

Divisors of 147 :

The positive integer divisors of 147 that completely divides 147 are.

1, 3, 7, 21, 49, 147

Divisors of 825 :

The positive integer divisors of 825 that completely divides 825 are.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

Divisors of 311 :

The positive integer divisors of 311 that completely divides 311 are.

1, 311

Divisors of 384 :

The positive integer divisors of 384 that completely divides 384 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

GCD of numbers is the greatest common divisor

So, the GCD (147, 825, 311, 384) = 1.

Given numbers are 147, 825, 311, 384

The list of prime factors of all numbers are

Prime factors of 147 are 3 x 7 x 7

Prime factors of 825 are 3 x 5 x 5 x 11

Prime factors of 311 are 311

Prime factors of 384 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

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

Given numbers are 147, 825, 311, 384

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

Apply this formula for all numbers.

Step1:

LCM(147, 825) = 40425

GCD(147, 825) = ( 147 x 825 ) / 40425

= 147 / 825

= 147

Step2:

LCM(3, 311) = 933

GCD(3, 311) = ( 3 x 311 ) / 933

= 3 / 311

= 3

Step3:

LCM(1, 384) = 384

GCD(1, 384) = ( 1 x 384 ) / 384

= 1 / 384

= 1

So, Greatest Common Divisor of 147, 825, 311, 384 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 955, 132, 490, 921
• GCD of 881, 346, 698, 358
• GCD of 874, 656, 529, 614
• GCD of 511, 544, 363, 726
• GCD of 849, 902, 516, 723

Given numbers are 147, 825, 311, 384
The greatest common divisor of numbers 147, 825, 311, 384 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 147, 825, 311, 384 is 1.

1. What is the GCD of 147, 825, 311, 384?

GCD of given numbers 147, 825, 311, 384 is 1

2. How to calculate the greatest common divisor of 147, 825, 311, 384?

We can find the highest common divisor of 147, 825, 311, 384 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 147, 825, 311, 384 i.e 1.

3. How can I use the GCD of 147, 825, 311, 384Calculator?

Out the numbers 147, 825, 311, 384 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.