GCD of 508, 194, 709, 221 Calculator

Given Input numbers are 508, 194, 709, 221

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

Divisors of 508 :

The positive integer divisors of 508 that completely divides 508 are.

1, 2, 4, 127, 254, 508

Divisors of 194 :

The positive integer divisors of 194 that completely divides 194 are.

1, 2, 97, 194

Divisors of 709 :

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

1, 709

Divisors of 221 :

The positive integer divisors of 221 that completely divides 221 are.

1, 13, 17, 221

GCD of numbers is the greatest common divisor

So, the GCD (508, 194, 709, 221) = 1.

Given numbers are 508, 194, 709, 221

The list of prime factors of all numbers are

Prime factors of 508 are 2 x 2 x 127

Prime factors of 194 are 2 x 97

Prime factors of 709 are 709

Prime factors of 221 are 13 x 17

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

Given numbers are 508, 194, 709, 221

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

Apply this formula for all numbers.

Step1:

LCM(508, 194) = 49276

GCD(508, 194) = ( 508 x 194 ) / 49276

= 508 / 194

= 508

Step2:

LCM(2, 709) = 1418

GCD(2, 709) = ( 2 x 709 ) / 1418

= 2 / 709

= 2

Step3:

LCM(1, 221) = 221

GCD(1, 221) = ( 1 x 221 ) / 221

= 1 / 221

= 1

So, Greatest Common Divisor of 508, 194, 709, 221 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 450, 481, 203, 481
• GCD of 679, 559, 413, 680
• GCD of 539, 839, 695, 225
• GCD of 878, 320, 790, 419
• GCD of 597, 699, 609, 825

Given numbers are 508, 194, 709, 221
The greatest common divisor of numbers 508, 194, 709, 221 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 508, 194, 709, 221 is 1.

1. What is the GCD of 508, 194, 709, 221?

GCD of given numbers 508, 194, 709, 221 is 1

2. How to calculate the greatest common divisor of 508, 194, 709, 221?

We can find the highest common divisor of 508, 194, 709, 221 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 508, 194, 709, 221 i.e 1.

3. How can I use the GCD of 508, 194, 709, 221Calculator?

Out the numbers 508, 194, 709, 221 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.