GCD of 138, 452, 46, 120 Calculator

Given Input numbers are 138, 452, 46, 120

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 452 :

The positive integer divisors of 452 that completely divides 452 are.

1, 2, 4, 113, 226, 452

Divisors of 46 :

The positive integer divisors of 46 that completely divides 46 are.

1, 2, 23, 46

Divisors of 120 :

The positive integer divisors of 120 that completely divides 120 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

GCD of numbers is the greatest common divisor

So, the GCD (138, 452, 46, 120) = 2.

Given numbers are 138, 452, 46, 120

The list of prime factors of all numbers are

Prime factors of 138 are 2 x 3 x 23

Prime factors of 452 are 2 x 2 x 113

Prime factors of 46 are 2 x 23

Prime factors of 120 are 2 x 2 x 2 x 3 x 5

The highest common occurrence is 2¹

Therefore, GCD of 138, 452, 46, 120 is 2.

Given numbers are 138, 452, 46, 120

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

Apply this formula for all numbers.

Step1:

LCM(138, 452) = 31188

GCD(138, 452) = ( 138 x 452 ) / 31188

= 138 / 452

= 138

Step2:

LCM(2, 46) = 46

GCD(2, 46) = ( 2 x 46 ) / 46

= 2 / 46

= 2

Step3:

LCM(2, 120) = 120

GCD(2, 120) = ( 2 x 120 ) / 120

= 2 / 120

= 2

So, Greatest Common Divisor of 138, 452, 46, 120 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 960, 548, 27, 541
• GCD of 847, 216, 26, 877
• GCD of 200, 659, 74, 840
• GCD of 846, 669, 17, 395
• GCD of 433, 295, 87, 599

Given numbers are 138, 452, 46, 120
The greatest common divisor of numbers 138, 452, 46, 120 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 138, 452, 46, 120 is 2.

1. What is the GCD of 138, 452, 46, 120?

GCD of given numbers 138, 452, 46, 120 is 2

2. How to calculate the greatest common divisor of 138, 452, 46, 120?

We can find the highest common divisor of 138, 452, 46, 120 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, 452, 46, 120 i.e 2.

3. How can I use the GCD of 138, 452, 46, 120Calculator?

Out the numbers 138, 452, 46, 120 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.