GCD of 357, 492, 171, 916 Calculator

Given Input numbers are 357, 492, 171, 916

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

Divisors of 357 :

The positive integer divisors of 357 that completely divides 357 are.

1, 3, 7, 17, 21, 51, 119, 357

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 171 :

The positive integer divisors of 171 that completely divides 171 are.

1, 3, 9, 19, 57, 171

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 (357, 492, 171, 916) = 1.

Given numbers are 357, 492, 171, 916

The list of prime factors of all numbers are

Prime factors of 357 are 3 x 7 x 17

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

Prime factors of 171 are 3 x 3 x 19

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 357, 492, 171, 916

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

Apply this formula for all numbers.

Step1:

LCM(357, 492) = 58548

GCD(357, 492) = ( 357 x 492 ) / 58548

= 357 / 492

= 357

Step2:

LCM(3, 171) = 171

GCD(3, 171) = ( 3 x 171 ) / 171

= 3 / 171

= 3

Step3:

LCM(3, 916) = 2748

GCD(3, 916) = ( 3 x 916 ) / 2748

= 3 / 916

= 3

So, Greatest Common Divisor of 357, 492, 171, 916 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 422, 445, 203, 812
• GCD of 575, 561, 430, 944
• GCD of 463, 107, 423, 682
• GCD of 163, 985, 365, 939
• GCD of 762, 226, 133, 184

Given numbers are 357, 492, 171, 916
The greatest common divisor of numbers 357, 492, 171, 916 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 357, 492, 171, 916 is 1.

1. What is the GCD of 357, 492, 171, 916?

GCD of given numbers 357, 492, 171, 916 is 1

2. How to calculate the greatest common divisor of 357, 492, 171, 916?

We can find the highest common divisor of 357, 492, 171, 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 357, 492, 171, 916 i.e 1.

3. How can I use the GCD of 357, 492, 171, 916Calculator?

Out the numbers 357, 492, 171, 916 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.