GCD of 508, 242, 688, 662 Calculator

Given Input numbers are 508, 242, 688, 662

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 242 :

The positive integer divisors of 242 that completely divides 242 are.

1, 2, 11, 22, 121, 242

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 662 :

The positive integer divisors of 662 that completely divides 662 are.

1, 2, 331, 662

GCD of numbers is the greatest common divisor

So, the GCD (508, 242, 688, 662) = 2.

Given numbers are 508, 242, 688, 662

The list of prime factors of all numbers are

Prime factors of 508 are 2 x 2 x 127

Prime factors of 242 are 2 x 11 x 11

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

Prime factors of 662 are 2 x 331

The highest common occurrence is 2¹

Therefore, GCD of 508, 242, 688, 662 is 2.

Given numbers are 508, 242, 688, 662

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

Apply this formula for all numbers.

Step1:

LCM(508, 242) = 61468

GCD(508, 242) = ( 508 x 242 ) / 61468

= 508 / 242

= 508

Step2:

LCM(2, 688) = 688

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

= 2 / 688

= 2

Step3:

LCM(2, 662) = 662

GCD(2, 662) = ( 2 x 662 ) / 662

= 2 / 662

= 2

So, Greatest Common Divisor of 508, 242, 688, 662 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 100, 355, 638, 539
• GCD of 580, 806, 135, 493
• GCD of 411, 962, 590, 924
• GCD of 565, 737, 945, 481
• GCD of 649, 807, 386, 998

Given numbers are 508, 242, 688, 662
The greatest common divisor of numbers 508, 242, 688, 662 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 508, 242, 688, 662 is 2.

1. What is the GCD of 508, 242, 688, 662?

GCD of given numbers 508, 242, 688, 662 is 2

2. How to calculate the greatest common divisor of 508, 242, 688, 662?

We can find the highest common divisor of 508, 242, 688, 662 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, 242, 688, 662 i.e 2.

3. How can I use the GCD of 508, 242, 688, 662Calculator?

Out the numbers 508, 242, 688, 662 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.