GCD of 987, 513, 972, 520 Calculator

Given Input numbers are 987, 513, 972, 520

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 513 :

The positive integer divisors of 513 that completely divides 513 are.

1, 3, 9, 19, 27, 57, 171, 513

Divisors of 972 :

The positive integer divisors of 972 that completely divides 972 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

Divisors of 520 :

The positive integer divisors of 520 that completely divides 520 are.

1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

GCD of numbers is the greatest common divisor

So, the GCD (987, 513, 972, 520) = 1.

Given numbers are 987, 513, 972, 520

The list of prime factors of all numbers are

Prime factors of 987 are 3 x 7 x 47

Prime factors of 513 are 3 x 3 x 3 x 19

Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3

Prime factors of 520 are 2 x 2 x 2 x 5 x 13

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

Given numbers are 987, 513, 972, 520

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

Apply this formula for all numbers.

Step1:

LCM(987, 513) = 168777

GCD(987, 513) = ( 987 x 513 ) / 168777

= 987 / 513

= 987

Step2:

LCM(3, 972) = 972

GCD(3, 972) = ( 3 x 972 ) / 972

= 3 / 972

= 3

Step3:

LCM(3, 520) = 1560

GCD(3, 520) = ( 3 x 520 ) / 1560

= 3 / 520

= 3

So, Greatest Common Divisor of 987, 513, 972, 520 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 464, 465, 378, 423
• GCD of 470, 761, 224, 259
• GCD of 311, 617, 456, 625
• GCD of 911, 865, 283, 448
• GCD of 473, 313, 189, 497

Given numbers are 987, 513, 972, 520
The greatest common divisor of numbers 987, 513, 972, 520 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 987, 513, 972, 520 is 1.

1. What is the GCD of 987, 513, 972, 520?

GCD of given numbers 987, 513, 972, 520 is 1

2. How to calculate the greatest common divisor of 987, 513, 972, 520?

We can find the highest common divisor of 987, 513, 972, 520 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, 513, 972, 520 i.e 1.

3. How can I use the GCD of 987, 513, 972, 520Calculator?

Out the numbers 987, 513, 972, 520 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.