GCD of 508, 916, 721, 706 Calculator

Given Input numbers are 508, 916, 721, 706

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 916 :

The positive integer divisors of 916 that completely divides 916 are.

1, 2, 4, 229, 458, 916

Divisors of 721 :

The positive integer divisors of 721 that completely divides 721 are.

1, 7, 103, 721

Divisors of 706 :

The positive integer divisors of 706 that completely divides 706 are.

1, 2, 353, 706

GCD of numbers is the greatest common divisor

So, the GCD (508, 916, 721, 706) = 1.

Given numbers are 508, 916, 721, 706

The list of prime factors of all numbers are

Prime factors of 508 are 2 x 2 x 127

Prime factors of 916 are 2 x 2 x 229

Prime factors of 721 are 7 x 103

Prime factors of 706 are 2 x 353

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

Given numbers are 508, 916, 721, 706

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

Apply this formula for all numbers.

Step1:

LCM(508, 916) = 116332

GCD(508, 916) = ( 508 x 916 ) / 116332

= 508 / 916

= 508

Step2:

LCM(4, 721) = 2884

GCD(4, 721) = ( 4 x 721 ) / 2884

= 4 / 721

= 4

Step3:

LCM(1, 706) = 706

GCD(1, 706) = ( 1 x 706 ) / 706

= 1 / 706

= 1

So, Greatest Common Divisor of 508, 916, 721, 706 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 772, 735, 139, 525
• GCD of 807, 176, 356, 484
• GCD of 260, 392, 990, 331
• GCD of 333, 390, 718, 682
• GCD of 385, 955, 100, 822

Given numbers are 508, 916, 721, 706
The greatest common divisor of numbers 508, 916, 721, 706 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 508, 916, 721, 706 is 1.

1. What is the GCD of 508, 916, 721, 706?

GCD of given numbers 508, 916, 721, 706 is 1

2. How to calculate the greatest common divisor of 508, 916, 721, 706?

We can find the highest common divisor of 508, 916, 721, 706 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, 916, 721, 706 i.e 1.

3. How can I use the GCD of 508, 916, 721, 706Calculator?

Out the numbers 508, 916, 721, 706 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.