GCD of 240, 987, 398, 504 Calculator

Given Input numbers are 240, 987, 398, 504

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

Divisors of 240 :

The positive integer divisors of 240 that completely divides 240 are.

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

Divisors of 987 :

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

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

Divisors of 398 :

The positive integer divisors of 398 that completely divides 398 are.

1, 2, 199, 398

Divisors of 504 :

The positive integer divisors of 504 that completely divides 504 are.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

GCD of numbers is the greatest common divisor

So, the GCD (240, 987, 398, 504) = 1.

Given numbers are 240, 987, 398, 504

The list of prime factors of all numbers are

Prime factors of 240 are 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 987 are 3 x 7 x 47

Prime factors of 398 are 2 x 199

Prime factors of 504 are 2 x 2 x 2 x 3 x 3 x 7

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

Given numbers are 240, 987, 398, 504

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

Apply this formula for all numbers.

Step1:

LCM(240, 987) = 78960

GCD(240, 987) = ( 240 x 987 ) / 78960

= 240 / 987

= 240

Step2:

LCM(3, 398) = 1194

GCD(3, 398) = ( 3 x 398 ) / 1194

= 3 / 398

= 3

Step3:

LCM(1, 504) = 504

GCD(1, 504) = ( 1 x 504 ) / 504

= 1 / 504

= 1

So, Greatest Common Divisor of 240, 987, 398, 504 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 846, 334, 539, 910
• GCD of 722, 840, 376, 843
• GCD of 424, 833, 374, 628
• GCD of 352, 208, 686, 940
• GCD of 425, 584, 216, 501

Given numbers are 240, 987, 398, 504
The greatest common divisor of numbers 240, 987, 398, 504 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 240, 987, 398, 504 is 1.

1. What is the GCD of 240, 987, 398, 504?

GCD of given numbers 240, 987, 398, 504 is 1

2. How to calculate the greatest common divisor of 240, 987, 398, 504?

We can find the highest common divisor of 240, 987, 398, 504 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 240, 987, 398, 504 i.e 1.

3. How can I use the GCD of 240, 987, 398, 504Calculator?

Out the numbers 240, 987, 398, 504 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.