GCD of 509, 731, 987, 868 Calculator

Given Input numbers are 509, 731, 987, 868

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

Divisors of 509 :

The positive integer divisors of 509 that completely divides 509 are.

1, 509

Divisors of 731 :

The positive integer divisors of 731 that completely divides 731 are.

1, 17, 43, 731

Divisors of 987 :

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

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

Divisors of 868 :

The positive integer divisors of 868 that completely divides 868 are.

1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868

GCD of numbers is the greatest common divisor

So, the GCD (509, 731, 987, 868) = 1.

Given numbers are 509, 731, 987, 868

The list of prime factors of all numbers are

Prime factors of 509 are 509

Prime factors of 731 are 17 x 43

Prime factors of 987 are 3 x 7 x 47

Prime factors of 868 are 2 x 2 x 7 x 31

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

Given numbers are 509, 731, 987, 868

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

Apply this formula for all numbers.

Step1:

LCM(509, 731) = 372079

GCD(509, 731) = ( 509 x 731 ) / 372079

= 509 / 731

= 509

Step2:

LCM(1, 987) = 987

GCD(1, 987) = ( 1 x 987 ) / 987

= 1 / 987

= 1

Step3:

LCM(1, 868) = 868

GCD(1, 868) = ( 1 x 868 ) / 868

= 1 / 868

= 1

So, Greatest Common Divisor of 509, 731, 987, 868 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 520, 252, 141, 468
• GCD of 998, 689, 656, 962
• GCD of 392, 131, 174, 127
• GCD of 798, 646, 136, 378
• GCD of 974, 887, 332, 844

Given numbers are 509, 731, 987, 868
The greatest common divisor of numbers 509, 731, 987, 868 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 509, 731, 987, 868 is 1.

1. What is the GCD of 509, 731, 987, 868?

GCD of given numbers 509, 731, 987, 868 is 1

2. How to calculate the greatest common divisor of 509, 731, 987, 868?

We can find the highest common divisor of 509, 731, 987, 868 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 509, 731, 987, 868 i.e 1.

3. How can I use the GCD of 509, 731, 987, 868Calculator?

Out the numbers 509, 731, 987, 868 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.