GCD of 509, 704, 776, 868 Calculator

Given Input numbers are 509, 704, 776, 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 704 :

The positive integer divisors of 704 that completely divides 704 are.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

Divisors of 776 :

The positive integer divisors of 776 that completely divides 776 are.

1, 2, 4, 8, 97, 194, 388, 776

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, 704, 776, 868) = 1.

Given numbers are 509, 704, 776, 868

The list of prime factors of all numbers are

Prime factors of 509 are 509

Prime factors of 704 are 2 x 2 x 2 x 2 x 2 x 2 x 11

Prime factors of 776 are 2 x 2 x 2 x 97

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, 704, 776, 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, 704) = 358336

GCD(509, 704) = ( 509 x 704 ) / 358336

= 509 / 704

= 509

Step2:

LCM(1, 776) = 776

GCD(1, 776) = ( 1 x 776 ) / 776

= 1 / 776

= 1

Step3:

LCM(1, 868) = 868

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

= 1 / 868

= 1

So, Greatest Common Divisor of 509, 704, 776, 868 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 979, 380, 332, 295
• GCD of 350, 959, 595, 304
• GCD of 394, 458, 534, 243
• GCD of 942, 188, 242, 705
• GCD of 100, 888, 997, 217

Given numbers are 509, 704, 776, 868
The greatest common divisor of numbers 509, 704, 776, 868 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 509, 704, 776, 868 is 1.

1. What is the GCD of 509, 704, 776, 868?

GCD of given numbers 509, 704, 776, 868 is 1

2. How to calculate the greatest common divisor of 509, 704, 776, 868?

We can find the highest common divisor of 509, 704, 776, 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, 704, 776, 868 i.e 1.

3. How can I use the GCD of 509, 704, 776, 868Calculator?

Out the numbers 509, 704, 776, 868 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.