GCD of 508, 716, 557, 725 Calculator

Given Input numbers are 508, 716, 557, 725

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 716 :

The positive integer divisors of 716 that completely divides 716 are.

1, 2, 4, 179, 358, 716

Divisors of 557 :

The positive integer divisors of 557 that completely divides 557 are.

1, 557

Divisors of 725 :

The positive integer divisors of 725 that completely divides 725 are.

1, 5, 25, 29, 145, 725

GCD of numbers is the greatest common divisor

So, the GCD (508, 716, 557, 725) = 1.

Given numbers are 508, 716, 557, 725

The list of prime factors of all numbers are

Prime factors of 508 are 2 x 2 x 127

Prime factors of 716 are 2 x 2 x 179

Prime factors of 557 are 557

Prime factors of 725 are 5 x 5 x 29

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

Given numbers are 508, 716, 557, 725

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

Apply this formula for all numbers.

Step1:

LCM(508, 716) = 90932

GCD(508, 716) = ( 508 x 716 ) / 90932

= 508 / 716

= 508

Step2:

LCM(4, 557) = 2228

GCD(4, 557) = ( 4 x 557 ) / 2228

= 4 / 557

= 4

Step3:

LCM(1, 725) = 725

GCD(1, 725) = ( 1 x 725 ) / 725

= 1 / 725

= 1

So, Greatest Common Divisor of 508, 716, 557, 725 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 805, 961, 473, 767
• GCD of 673, 242, 622, 532
• GCD of 381, 380, 503, 667
• GCD of 884, 896, 622, 636
• GCD of 639, 803, 422, 209

Given numbers are 508, 716, 557, 725
The greatest common divisor of numbers 508, 716, 557, 725 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 508, 716, 557, 725 is 1.

1. What is the GCD of 508, 716, 557, 725?

GCD of given numbers 508, 716, 557, 725 is 1

2. How to calculate the greatest common divisor of 508, 716, 557, 725?

We can find the highest common divisor of 508, 716, 557, 725 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, 716, 557, 725 i.e 1.

3. How can I use the GCD of 508, 716, 557, 725Calculator?

Out the numbers 508, 716, 557, 725 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.