GCD of 492, 187, 742, 916 Calculator

Given Input numbers are 492, 187, 742, 916

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 187 :

The positive integer divisors of 187 that completely divides 187 are.

1, 11, 17, 187

Divisors of 742 :

The positive integer divisors of 742 that completely divides 742 are.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 916 :

The positive integer divisors of 916 that completely divides 916 are.

1, 2, 4, 229, 458, 916

GCD of numbers is the greatest common divisor

So, the GCD (492, 187, 742, 916) = 1.

Given numbers are 492, 187, 742, 916

The list of prime factors of all numbers are

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

Prime factors of 187 are 11 x 17

Prime factors of 742 are 2 x 7 x 53

Prime factors of 916 are 2 x 2 x 229

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

Given numbers are 492, 187, 742, 916

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

Apply this formula for all numbers.

Step1:

LCM(492, 187) = 92004

GCD(492, 187) = ( 492 x 187 ) / 92004

= 492 / 187

= 492

Step2:

LCM(1, 742) = 742

GCD(1, 742) = ( 1 x 742 ) / 742

= 1 / 742

= 1

Step3:

LCM(1, 916) = 916

GCD(1, 916) = ( 1 x 916 ) / 916

= 1 / 916

= 1

So, Greatest Common Divisor of 492, 187, 742, 916 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 200, 186, 627, 491
• GCD of 518, 986, 441, 891
• GCD of 245, 199, 172, 772
• GCD of 857, 419, 461, 824
• GCD of 838, 812, 623, 356

Given numbers are 492, 187, 742, 916
The greatest common divisor of numbers 492, 187, 742, 916 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 492, 187, 742, 916 is 1.

1. What is the GCD of 492, 187, 742, 916?

GCD of given numbers 492, 187, 742, 916 is 1

2. How to calculate the greatest common divisor of 492, 187, 742, 916?

We can find the highest common divisor of 492, 187, 742, 916 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, 187, 742, 916 i.e 1.

3. How can I use the GCD of 492, 187, 742, 916Calculator?

Out the numbers 492, 187, 742, 916 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.