GCD of 132, 494, 174, 713 Calculator

Given Input numbers are 132, 494, 174, 713

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

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 494 :

The positive integer divisors of 494 that completely divides 494 are.

1, 2, 13, 19, 26, 38, 247, 494

Divisors of 174 :

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

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

Divisors of 713 :

The positive integer divisors of 713 that completely divides 713 are.

1, 23, 31, 713

GCD of numbers is the greatest common divisor

So, the GCD (132, 494, 174, 713) = 1.

Given numbers are 132, 494, 174, 713

The list of prime factors of all numbers are

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

Prime factors of 494 are 2 x 13 x 19

Prime factors of 174 are 2 x 3 x 29

Prime factors of 713 are 23 x 31

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

Given numbers are 132, 494, 174, 713

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

Apply this formula for all numbers.

Step1:

LCM(132, 494) = 32604

GCD(132, 494) = ( 132 x 494 ) / 32604

= 132 / 494

= 132

Step2:

LCM(2, 174) = 174

GCD(2, 174) = ( 2 x 174 ) / 174

= 2 / 174

= 2

Step3:

LCM(2, 713) = 1426

GCD(2, 713) = ( 2 x 713 ) / 1426

= 2 / 713

= 2

So, Greatest Common Divisor of 132, 494, 174, 713 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 706, 545, 149, 289
• GCD of 643, 371, 229, 786
• GCD of 127, 208, 256, 674
• GCD of 231, 693, 419, 974
• GCD of 485, 326, 495, 544

Given numbers are 132, 494, 174, 713
The greatest common divisor of numbers 132, 494, 174, 713 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 132, 494, 174, 713 is 1.

1. What is the GCD of 132, 494, 174, 713?

GCD of given numbers 132, 494, 174, 713 is 1

2. How to calculate the greatest common divisor of 132, 494, 174, 713?

We can find the highest common divisor of 132, 494, 174, 713 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 132, 494, 174, 713 i.e 1.

3. How can I use the GCD of 132, 494, 174, 713Calculator?

Out the numbers 132, 494, 174, 713 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.