GCD of 138, 606, 360, 376 Calculator

Given Input numbers are 138, 606, 360, 376

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 606 :

The positive integer divisors of 606 that completely divides 606 are.

1, 2, 3, 6, 101, 202, 303, 606

Divisors of 360 :

The positive integer divisors of 360 that completely divides 360 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 376 :

The positive integer divisors of 376 that completely divides 376 are.

1, 2, 4, 8, 47, 94, 188, 376

GCD of numbers is the greatest common divisor

So, the GCD (138, 606, 360, 376) = 2.

Given numbers are 138, 606, 360, 376

The list of prime factors of all numbers are

Prime factors of 138 are 2 x 3 x 23

Prime factors of 606 are 2 x 3 x 101

Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 376 are 2 x 2 x 2 x 47

The highest common occurrence is 2¹

Therefore, GCD of 138, 606, 360, 376 is 2.

Given numbers are 138, 606, 360, 376

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

Apply this formula for all numbers.

Step1:

LCM(138, 606) = 13938

GCD(138, 606) = ( 138 x 606 ) / 13938

= 138 / 606

= 138

Step2:

LCM(6, 360) = 360

GCD(6, 360) = ( 6 x 360 ) / 360

= 6 / 360

= 6

Step3:

LCM(6, 376) = 1128

GCD(6, 376) = ( 6 x 376 ) / 1128

= 6 / 376

= 6

So, Greatest Common Divisor of 138, 606, 360, 376 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 293, 627, 576, 394
• GCD of 250, 610, 495, 271
• GCD of 632, 198, 862, 750
• GCD of 844, 113, 828, 646
• GCD of 330, 210, 212, 790

Given numbers are 138, 606, 360, 376
The greatest common divisor of numbers 138, 606, 360, 376 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 138, 606, 360, 376 is 2.

1. What is the GCD of 138, 606, 360, 376?

GCD of given numbers 138, 606, 360, 376 is 2

2. How to calculate the greatest common divisor of 138, 606, 360, 376?

We can find the highest common divisor of 138, 606, 360, 376 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, 606, 360, 376 i.e 2.

3. How can I use the GCD of 138, 606, 360, 376Calculator?

Out the numbers 138, 606, 360, 376 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.