GCD of 345, 132, 827, 178 Calculator

Given Input numbers are 345, 132, 827, 178

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

Divisors of 345 :

The positive integer divisors of 345 that completely divides 345 are.

1, 3, 5, 15, 23, 69, 115, 345

Divisors of 132 :

The positive integer divisors of 132 that completely divides 132 are.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

Divisors of 827 :

The positive integer divisors of 827 that completely divides 827 are.

1, 827

Divisors of 178 :

The positive integer divisors of 178 that completely divides 178 are.

1, 2, 89, 178

GCD of numbers is the greatest common divisor

So, the GCD (345, 132, 827, 178) = 1.

Given numbers are 345, 132, 827, 178

The list of prime factors of all numbers are

Prime factors of 345 are 3 x 5 x 23

Prime factors of 132 are 2 x 2 x 3 x 11

Prime factors of 827 are 827

Prime factors of 178 are 2 x 89

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

Given numbers are 345, 132, 827, 178

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

Apply this formula for all numbers.

Step1:

LCM(345, 132) = 15180

GCD(345, 132) = ( 345 x 132 ) / 15180

= 345 / 132

= 345

Step2:

LCM(3, 827) = 2481

GCD(3, 827) = ( 3 x 827 ) / 2481

= 3 / 827

= 3

Step3:

LCM(1, 178) = 178

GCD(1, 178) = ( 1 x 178 ) / 178

= 1 / 178

= 1

So, Greatest Common Divisor of 345, 132, 827, 178 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 553, 973, 327, 184
• GCD of 791, 611, 327, 396
• GCD of 679, 807, 839, 794
• GCD of 436, 223, 852, 901
• GCD of 587, 437, 286, 832

Given numbers are 345, 132, 827, 178
The greatest common divisor of numbers 345, 132, 827, 178 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 345, 132, 827, 178 is 1.

1. What is the GCD of 345, 132, 827, 178?

GCD of given numbers 345, 132, 827, 178 is 1

2. How to calculate the greatest common divisor of 345, 132, 827, 178?

We can find the highest common divisor of 345, 132, 827, 178 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 345, 132, 827, 178 i.e 1.

3. How can I use the GCD of 345, 132, 827, 178Calculator?

Out the numbers 345, 132, 827, 178 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.