GCD of 492, 312, 464, 177 Calculator

Given Input numbers are 492, 312, 464, 177

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

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 312 :

The positive integer divisors of 312 that completely divides 312 are.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Divisors of 464 :

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

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

Divisors of 177 :

The positive integer divisors of 177 that completely divides 177 are.

1, 3, 59, 177

GCD of numbers is the greatest common divisor

So, the GCD (492, 312, 464, 177) = 1.

Given numbers are 492, 312, 464, 177

The list of prime factors of all numbers are

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

Prime factors of 312 are 2 x 2 x 2 x 3 x 13

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

Prime factors of 177 are 3 x 59

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 492, 312, 464, 177

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

Apply this formula for all numbers.

Step1:

LCM(492, 312) = 12792

GCD(492, 312) = ( 492 x 312 ) / 12792

= 492 / 312

= 492

Step2:

LCM(12, 464) = 1392

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

= 12 / 464

= 12

Step3:

LCM(4, 177) = 708

GCD(4, 177) = ( 4 x 177 ) / 708

= 4 / 177

= 4

So, Greatest Common Divisor of 492, 312, 464, 177 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 909, 136, 589, 138
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Given numbers are 492, 312, 464, 177
The greatest common divisor of numbers 492, 312, 464, 177 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 492, 312, 464, 177 is 1.

1. What is the GCD of 492, 312, 464, 177?

GCD of given numbers 492, 312, 464, 177 is 1

2. How to calculate the greatest common divisor of 492, 312, 464, 177?

We can find the highest common divisor of 492, 312, 464, 177 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 492, 312, 464, 177 i.e 1.

3. How can I use the GCD of 492, 312, 464, 177Calculator?

Out the numbers 492, 312, 464, 177 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.