GCD of 508, 894, 688, 653 Calculator

Given Input numbers are 508, 894, 688, 653

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 894 :

The positive integer divisors of 894 that completely divides 894 are.

1, 2, 3, 6, 149, 298, 447, 894

Divisors of 688 :

The positive integer divisors of 688 that completely divides 688 are.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

Divisors of 653 :

The positive integer divisors of 653 that completely divides 653 are.

1, 653

GCD of numbers is the greatest common divisor

So, the GCD (508, 894, 688, 653) = 1.

Given numbers are 508, 894, 688, 653

The list of prime factors of all numbers are

Prime factors of 508 are 2 x 2 x 127

Prime factors of 894 are 2 x 3 x 149

Prime factors of 688 are 2 x 2 x 2 x 2 x 43

Prime factors of 653 are 653

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

Given numbers are 508, 894, 688, 653

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

Apply this formula for all numbers.

Step1:

LCM(508, 894) = 227076

GCD(508, 894) = ( 508 x 894 ) / 227076

= 508 / 894

= 508

Step2:

LCM(2, 688) = 688

GCD(2, 688) = ( 2 x 688 ) / 688

= 2 / 688

= 2

Step3:

LCM(2, 653) = 1306

GCD(2, 653) = ( 2 x 653 ) / 1306

= 2 / 653

= 2

So, Greatest Common Divisor of 508, 894, 688, 653 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 628, 745, 576, 517
• GCD of 129, 891, 311, 661
• GCD of 535, 378, 964, 920
• GCD of 900, 138, 362, 738
• GCD of 229, 192, 925, 567

Given numbers are 508, 894, 688, 653
The greatest common divisor of numbers 508, 894, 688, 653 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 508, 894, 688, 653 is 1.

1. What is the GCD of 508, 894, 688, 653?

GCD of given numbers 508, 894, 688, 653 is 1

2. How to calculate the greatest common divisor of 508, 894, 688, 653?

We can find the highest common divisor of 508, 894, 688, 653 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, 894, 688, 653 i.e 1.

3. How can I use the GCD of 508, 894, 688, 653Calculator?

Out the numbers 508, 894, 688, 653 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.