GCD of 987, 375, 133, 814 Calculator

Given Input numbers are 987, 375, 133, 814

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

Divisors of 987 :

The positive integer divisors of 987 that completely divides 987 are.

1, 3, 7, 21, 47, 141, 329, 987

Divisors of 375 :

The positive integer divisors of 375 that completely divides 375 are.

1, 3, 5, 15, 25, 75, 125, 375

Divisors of 133 :

The positive integer divisors of 133 that completely divides 133 are.

1, 7, 19, 133

Divisors of 814 :

The positive integer divisors of 814 that completely divides 814 are.

1, 2, 11, 22, 37, 74, 407, 814

GCD of numbers is the greatest common divisor

So, the GCD (987, 375, 133, 814) = 1.

Given numbers are 987, 375, 133, 814

The list of prime factors of all numbers are

Prime factors of 987 are 3 x 7 x 47

Prime factors of 375 are 3 x 5 x 5 x 5

Prime factors of 133 are 7 x 19

Prime factors of 814 are 2 x 11 x 37

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

Given numbers are 987, 375, 133, 814

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

Apply this formula for all numbers.

Step1:

LCM(987, 375) = 123375

GCD(987, 375) = ( 987 x 375 ) / 123375

= 987 / 375

= 987

Step2:

LCM(3, 133) = 399

GCD(3, 133) = ( 3 x 133 ) / 399

= 3 / 133

= 3

Step3:

LCM(1, 814) = 814

GCD(1, 814) = ( 1 x 814 ) / 814

= 1 / 814

= 1

So, Greatest Common Divisor of 987, 375, 133, 814 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 530, 290, 339, 535
• GCD of 624, 147, 518, 992
• GCD of 352, 616, 892, 673
• GCD of 473, 803, 671, 428
• GCD of 101, 650, 336, 465

Given numbers are 987, 375, 133, 814
The greatest common divisor of numbers 987, 375, 133, 814 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 987, 375, 133, 814 is 1.

1. What is the GCD of 987, 375, 133, 814?

GCD of given numbers 987, 375, 133, 814 is 1

2. How to calculate the greatest common divisor of 987, 375, 133, 814?

We can find the highest common divisor of 987, 375, 133, 814 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 987, 375, 133, 814 i.e 1.

3. How can I use the GCD of 987, 375, 133, 814Calculator?

Out the numbers 987, 375, 133, 814 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.