GCD of 351, 174, 374, 132 Calculator

Given Input numbers are 351, 174, 374, 132

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

Divisors of 351 :

The positive integer divisors of 351 that completely divides 351 are.

1, 3, 9, 13, 27, 39, 117, 351

Divisors of 174 :

The positive integer divisors of 174 that completely divides 174 are.

1, 2, 3, 6, 29, 58, 87, 174

Divisors of 374 :

The positive integer divisors of 374 that completely divides 374 are.

1, 2, 11, 17, 22, 34, 187, 374

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

GCD of numbers is the greatest common divisor

So, the GCD (351, 174, 374, 132) = 1.

Given numbers are 351, 174, 374, 132

The list of prime factors of all numbers are

Prime factors of 351 are 3 x 3 x 3 x 13

Prime factors of 174 are 2 x 3 x 29

Prime factors of 374 are 2 x 11 x 17

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

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

Given numbers are 351, 174, 374, 132

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

Apply this formula for all numbers.

Step1:

LCM(351, 174) = 20358

GCD(351, 174) = ( 351 x 174 ) / 20358

= 351 / 174

= 351

Step2:

LCM(3, 374) = 1122

GCD(3, 374) = ( 3 x 374 ) / 1122

= 3 / 374

= 3

Step3:

LCM(1, 132) = 132

GCD(1, 132) = ( 1 x 132 ) / 132

= 1 / 132

= 1

So, Greatest Common Divisor of 351, 174, 374, 132 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 394, 165, 830, 682
• GCD of 152, 241, 545, 750
• GCD of 943, 791, 908, 153
• GCD of 906, 752, 358, 582
• GCD of 436, 551, 707, 230

Given numbers are 351, 174, 374, 132
The greatest common divisor of numbers 351, 174, 374, 132 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 351, 174, 374, 132 is 1.

1. What is the GCD of 351, 174, 374, 132?

GCD of given numbers 351, 174, 374, 132 is 1

2. How to calculate the greatest common divisor of 351, 174, 374, 132?

We can find the highest common divisor of 351, 174, 374, 132 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 351, 174, 374, 132 i.e 1.

3. How can I use the GCD of 351, 174, 374, 132Calculator?

Out the numbers 351, 174, 374, 132 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.