GCD of 138, 490, 600, 604 Calculator

Given Input numbers are 138, 490, 600, 604

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 490 :

The positive integer divisors of 490 that completely divides 490 are.

1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

Divisors of 600 :

The positive integer divisors of 600 that completely divides 600 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

Divisors of 604 :

The positive integer divisors of 604 that completely divides 604 are.

1, 2, 4, 151, 302, 604

GCD of numbers is the greatest common divisor

So, the GCD (138, 490, 600, 604) = 2.

Given numbers are 138, 490, 600, 604

The list of prime factors of all numbers are

Prime factors of 138 are 2 x 3 x 23

Prime factors of 490 are 2 x 5 x 7 x 7

Prime factors of 600 are 2 x 2 x 2 x 3 x 5 x 5

Prime factors of 604 are 2 x 2 x 151

The highest common occurrence is 2¹

Therefore, GCD of 138, 490, 600, 604 is 2.

Given numbers are 138, 490, 600, 604

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

Apply this formula for all numbers.

Step1:

LCM(138, 490) = 33810

GCD(138, 490) = ( 138 x 490 ) / 33810

= 138 / 490

= 138

Step2:

LCM(2, 600) = 600

GCD(2, 600) = ( 2 x 600 ) / 600

= 2 / 600

= 2

Step3:

LCM(2, 604) = 604

GCD(2, 604) = ( 2 x 604 ) / 604

= 2 / 604

= 2

So, Greatest Common Divisor of 138, 490, 600, 604 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 395, 469, 735, 244
• GCD of 136, 149, 959, 845
• GCD of 292, 184, 351, 846
• GCD of 646, 369, 491, 179
• GCD of 122, 915, 174, 415

Given numbers are 138, 490, 600, 604
The greatest common divisor of numbers 138, 490, 600, 604 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 138, 490, 600, 604 is 2.

1. What is the GCD of 138, 490, 600, 604?

GCD of given numbers 138, 490, 600, 604 is 2

2. How to calculate the greatest common divisor of 138, 490, 600, 604?

We can find the highest common divisor of 138, 490, 600, 604 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, 490, 600, 604 i.e 2.

3. How can I use the GCD of 138, 490, 600, 604Calculator?

Out the numbers 138, 490, 600, 604 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.