GCD of 252, 492, 372, 464 Calculator

Given Input numbers are 252, 492, 372, 464

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

Divisors of 252 :

The positive integer divisors of 252 that completely divides 252 are.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

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 372 :

The positive integer divisors of 372 that completely divides 372 are.

1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

Divisors of 464 :

The positive integer divisors of 464 that completely divides 464 are.

1, 2, 4, 8, 16, 29, 58, 116, 232, 464

GCD of numbers is the greatest common divisor

So, the GCD (252, 492, 372, 464) = 4.

Given numbers are 252, 492, 372, 464

The list of prime factors of all numbers are

Prime factors of 252 are 2 x 2 x 3 x 3 x 7

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

Prime factors of 372 are 2 x 2 x 3 x 31

Prime factors of 464 are 2 x 2 x 2 x 2 x 29

The highest common occurrence is 2²

Therefore, GCD of 252, 492, 372, 464 is 4.

Given numbers are 252, 492, 372, 464

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

Apply this formula for all numbers.

Step1:

LCM(252, 492) = 10332

GCD(252, 492) = ( 252 x 492 ) / 10332

= 252 / 492

= 252

Step2:

LCM(12, 372) = 372

GCD(12, 372) = ( 12 x 372 ) / 372

= 12 / 372

= 12

Step3:

LCM(12, 464) = 1392

GCD(12, 464) = ( 12 x 464 ) / 1392

= 12 / 464

= 12

So, Greatest Common Divisor of 252, 492, 372, 464 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 775, 545, 927, 170
• GCD of 903, 127, 564, 862
• GCD of 208, 931, 595, 199
• GCD of 290, 759, 198, 117
• GCD of 784, 358, 581, 137

Given numbers are 252, 492, 372, 464
The greatest common divisor of numbers 252, 492, 372, 464 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 252, 492, 372, 464 is 4.

1. What is the GCD of 252, 492, 372, 464?

GCD of given numbers 252, 492, 372, 464 is 4

2. How to calculate the greatest common divisor of 252, 492, 372, 464?

We can find the highest common divisor of 252, 492, 372, 464 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 252, 492, 372, 464 i.e 4.

3. How can I use the GCD of 252, 492, 372, 464Calculator?

Out the numbers 252, 492, 372, 464 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.