GCD of 354, 171, 60, 812 Calculator

Given Input numbers are 354, 171, 60, 812

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

Divisors of 354 :

The positive integer divisors of 354 that completely divides 354 are.

1, 2, 3, 6, 59, 118, 177, 354

Divisors of 171 :

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

1, 3, 9, 19, 57, 171

Divisors of 60 :

The positive integer divisors of 60 that completely divides 60 are.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

Divisors of 812 :

The positive integer divisors of 812 that completely divides 812 are.

1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812

GCD of numbers is the greatest common divisor

So, the GCD (354, 171, 60, 812) = 1.

Given numbers are 354, 171, 60, 812

The list of prime factors of all numbers are

Prime factors of 354 are 2 x 3 x 59

Prime factors of 171 are 3 x 3 x 19

Prime factors of 60 are 2 x 2 x 3 x 5

Prime factors of 812 are 2 x 2 x 7 x 29

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

Given numbers are 354, 171, 60, 812

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

Apply this formula for all numbers.

Step1:

LCM(354, 171) = 20178

GCD(354, 171) = ( 354 x 171 ) / 20178

= 354 / 171

= 354

Step2:

LCM(3, 60) = 60

GCD(3, 60) = ( 3 x 60 ) / 60

= 3 / 60

= 3

Step3:

LCM(3, 812) = 2436

GCD(3, 812) = ( 3 x 812 ) / 2436

= 3 / 812

= 3

So, Greatest Common Divisor of 354, 171, 60, 812 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 157, 382, 57, 735
• GCD of 828, 194, 40, 963
• GCD of 607, 702, 52, 192
• GCD of 486, 218, 27, 323
• GCD of 720, 557, 91, 950

Given numbers are 354, 171, 60, 812
The greatest common divisor of numbers 354, 171, 60, 812 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 354, 171, 60, 812 is 1.

1. What is the GCD of 354, 171, 60, 812?

GCD of given numbers 354, 171, 60, 812 is 1

2. How to calculate the greatest common divisor of 354, 171, 60, 812?

We can find the highest common divisor of 354, 171, 60, 812 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 354, 171, 60, 812 i.e 1.

3. How can I use the GCD of 354, 171, 60, 812Calculator?

Out the numbers 354, 171, 60, 812 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.