GCD of 513, 684, 295, 709 Calculator

Given Input numbers are 513, 684, 295, 709

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

Divisors of 513 :

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

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

Divisors of 684 :

The positive integer divisors of 684 that completely divides 684 are.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

Divisors of 295 :

The positive integer divisors of 295 that completely divides 295 are.

1, 5, 59, 295

Divisors of 709 :

The positive integer divisors of 709 that completely divides 709 are.

1, 709

GCD of numbers is the greatest common divisor

So, the GCD (513, 684, 295, 709) = 1.

Given numbers are 513, 684, 295, 709

The list of prime factors of all numbers are

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

Prime factors of 684 are 2 x 2 x 3 x 3 x 19

Prime factors of 295 are 5 x 59

Prime factors of 709 are 709

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

Given numbers are 513, 684, 295, 709

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

Apply this formula for all numbers.

Step1:

LCM(513, 684) = 2052

GCD(513, 684) = ( 513 x 684 ) / 2052

= 513 / 684

= 513

Step2:

LCM(171, 295) = 50445

GCD(171, 295) = ( 171 x 295 ) / 50445

= 171 / 295

= 171

Step3:

LCM(1, 709) = 709

GCD(1, 709) = ( 1 x 709 ) / 709

= 1 / 709

= 1

So, Greatest Common Divisor of 513, 684, 295, 709 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 170, 929, 577, 766
• GCD of 550, 189, 301, 382
• GCD of 498, 214, 479, 829
• GCD of 138, 949, 467, 631
• GCD of 559, 787, 291, 323

Given numbers are 513, 684, 295, 709
The greatest common divisor of numbers 513, 684, 295, 709 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 513, 684, 295, 709 is 1.

1. What is the GCD of 513, 684, 295, 709?

GCD of given numbers 513, 684, 295, 709 is 1

2. How to calculate the greatest common divisor of 513, 684, 295, 709?

We can find the highest common divisor of 513, 684, 295, 709 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 513, 684, 295, 709 i.e 1.

3. How can I use the GCD of 513, 684, 295, 709Calculator?

Out the numbers 513, 684, 295, 709 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.