GCD of 213, 492, 225, 120 Calculator

Given Input numbers are 213, 492, 225, 120

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

Divisors of 213 :

The positive integer divisors of 213 that completely divides 213 are.

1, 3, 71, 213

Divisors of 492 :

The positive integer divisors of 492 that completely divides 492 are.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

Divisors of 225 :

The positive integer divisors of 225 that completely divides 225 are.

1, 3, 5, 9, 15, 25, 45, 75, 225

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 (213, 492, 225, 120) = 3.

Given numbers are 213, 492, 225, 120

The list of prime factors of all numbers are

Prime factors of 213 are 3 x 71

Prime factors of 492 are 2 x 2 x 3 x 41

Prime factors of 225 are 3 x 3 x 5 x 5

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

The highest common occurrence is 3¹

Therefore, GCD of 213, 492, 225, 120 is 3.

Given numbers are 213, 492, 225, 120

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

Apply this formula for all numbers.

Step1:

LCM(213, 492) = 34932

GCD(213, 492) = ( 213 x 492 ) / 34932

= 213 / 492

= 213

Step2:

LCM(3, 225) = 225

GCD(3, 225) = ( 3 x 225 ) / 225

= 3 / 225

= 3

Step3:

LCM(3, 120) = 120

GCD(3, 120) = ( 3 x 120 ) / 120

= 3 / 120

= 3

So, Greatest Common Divisor of 213, 492, 225, 120 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 693, 564, 552, 753
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Given numbers are 213, 492, 225, 120
The greatest common divisor of numbers 213, 492, 225, 120 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 213, 492, 225, 120 is 3.

1. What is the GCD of 213, 492, 225, 120?

GCD of given numbers 213, 492, 225, 120 is 3

2. How to calculate the greatest common divisor of 213, 492, 225, 120?

We can find the highest common divisor of 213, 492, 225, 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 213, 492, 225, 120 i.e 3.

3. How can I use the GCD of 213, 492, 225, 120Calculator?

Out the numbers 213, 492, 225, 120 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.