GCD of 516, 849, 840, 875 Calculator

Given Input numbers are 516, 849, 840, 875

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

Divisors of 516 :

The positive integer divisors of 516 that completely divides 516 are.

1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

Divisors of 849 :

The positive integer divisors of 849 that completely divides 849 are.

1, 3, 283, 849

Divisors of 840 :

The positive integer divisors of 840 that completely divides 840 are.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

Divisors of 875 :

The positive integer divisors of 875 that completely divides 875 are.

1, 5, 7, 25, 35, 125, 175, 875

GCD of numbers is the greatest common divisor

So, the GCD (516, 849, 840, 875) = 1.

Given numbers are 516, 849, 840, 875

The list of prime factors of all numbers are

Prime factors of 516 are 2 x 2 x 3 x 43

Prime factors of 849 are 3 x 283

Prime factors of 840 are 2 x 2 x 2 x 3 x 5 x 7

Prime factors of 875 are 5 x 5 x 5 x 7

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

Given numbers are 516, 849, 840, 875

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

Apply this formula for all numbers.

Step1:

LCM(516, 849) = 146028

GCD(516, 849) = ( 516 x 849 ) / 146028

= 516 / 849

= 516

Step2:

LCM(3, 840) = 840

GCD(3, 840) = ( 3 x 840 ) / 840

= 3 / 840

= 3

Step3:

LCM(3, 875) = 2625

GCD(3, 875) = ( 3 x 875 ) / 2625

= 3 / 875

= 3

So, Greatest Common Divisor of 516, 849, 840, 875 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 689, 167, 444, 293
• GCD of 357, 365, 785, 868
• GCD of 305, 106, 461, 442
• GCD of 607, 740, 674, 982
• GCD of 552, 724, 503, 284

Given numbers are 516, 849, 840, 875
The greatest common divisor of numbers 516, 849, 840, 875 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 516, 849, 840, 875 is 1.

1. What is the GCD of 516, 849, 840, 875?

GCD of given numbers 516, 849, 840, 875 is 1

2. How to calculate the greatest common divisor of 516, 849, 840, 875?

We can find the highest common divisor of 516, 849, 840, 875 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 516, 849, 840, 875 i.e 1.

3. How can I use the GCD of 516, 849, 840, 875Calculator?

Out the numbers 516, 849, 840, 875 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.