GCD of 138, 508, 662 Calculator

Given Input numbers are 138, 508, 662

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

Divisors of 138 :

The positive integer divisors of 138 that completely divides 138 are.

1, 2, 3, 6, 23, 46, 69, 138

Divisors of 508 :

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

1, 2, 4, 127, 254, 508

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 (138, 508, 662) = 2.

Given numbers are 138, 508, 662

The list of prime factors of all numbers are

Prime factors of 138 are 2 x 3 x 23

Prime factors of 508 are 2 x 2 x 127

Prime factors of 662 are 2 x 331

The highest common occurrence is 2¹

Therefore, GCD of 138, 508, 662 is 2.

Given numbers are 138, 508, 662

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

Apply this formula for all numbers.

Step1:

LCM(138, 508) = 35052

GCD(138, 508) = ( 138 x 508 ) / 35052

= 138 / 508

= 138

Step2:

LCM(2, 662) = 662

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

= 2 / 662

= 2

So, Greatest Common Divisor of 138, 508, 662 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 452, 436, 200
• GCD of 933, 465, 191
• GCD of 199, 627, 314
• GCD of 120, 998, 959
• GCD of 478, 838, 128

Given numbers are 138, 508, 662
The greatest common divisor of numbers 138, 508, 662 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 138, 508, 662 is 2.

1. What is the GCD of 138, 508, 662?

GCD of given numbers 138, 508, 662 is 2

2. How to calculate the greatest common divisor of 138, 508, 662?

We can find the highest common divisor of 138, 508, 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 138, 508, 662 i.e 2.

3. How can I use the GCD of 138, 508, 662Calculator?

Out the numbers 138, 508, 662 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.