GCD of 987, 365, 722, 931 Calculator

Given Input numbers are 987, 365, 722, 931

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 365 :

The positive integer divisors of 365 that completely divides 365 are.

1, 5, 73, 365

Divisors of 722 :

The positive integer divisors of 722 that completely divides 722 are.

1, 2, 19, 38, 361, 722

Divisors of 931 :

The positive integer divisors of 931 that completely divides 931 are.

1, 7, 19, 49, 133, 931

GCD of numbers is the greatest common divisor

So, the GCD (987, 365, 722, 931) = 1.

Given numbers are 987, 365, 722, 931

The list of prime factors of all numbers are

Prime factors of 987 are 3 x 7 x 47

Prime factors of 365 are 5 x 73

Prime factors of 722 are 2 x 19 x 19

Prime factors of 931 are 7 x 7 x 19

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

Given numbers are 987, 365, 722, 931

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

Apply this formula for all numbers.

Step1:

LCM(987, 365) = 360255

GCD(987, 365) = ( 987 x 365 ) / 360255

= 987 / 365

= 987

Step2:

LCM(1, 722) = 722

GCD(1, 722) = ( 1 x 722 ) / 722

= 1 / 722

= 1

Step3:

LCM(1, 931) = 931

GCD(1, 931) = ( 1 x 931 ) / 931

= 1 / 931

= 1

So, Greatest Common Divisor of 987, 365, 722, 931 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 810, 235, 519, 417
• GCD of 652, 545, 561, 642
• GCD of 569, 596, 480, 622
• GCD of 608, 131, 624, 499
• GCD of 536, 791, 495, 622

Given numbers are 987, 365, 722, 931
The greatest common divisor of numbers 987, 365, 722, 931 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 987, 365, 722, 931 is 1.

1. What is the GCD of 987, 365, 722, 931?

GCD of given numbers 987, 365, 722, 931 is 1

2. How to calculate the greatest common divisor of 987, 365, 722, 931?

We can find the highest common divisor of 987, 365, 722, 931 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, 365, 722, 931 i.e 1.

3. How can I use the GCD of 987, 365, 722, 931Calculator?

Out the numbers 987, 365, 722, 931 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.