GCD of 174, 739, 966, 135 Calculator

Given Input numbers are 174, 739, 966, 135

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

Divisors of 174 :

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

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

Divisors of 739 :

The positive integer divisors of 739 that completely divides 739 are.

1, 739

Divisors of 966 :

The positive integer divisors of 966 that completely divides 966 are.

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

Divisors of 135 :

The positive integer divisors of 135 that completely divides 135 are.

1, 3, 5, 9, 15, 27, 45, 135

GCD of numbers is the greatest common divisor

So, the GCD (174, 739, 966, 135) = 1.

Given numbers are 174, 739, 966, 135

The list of prime factors of all numbers are

Prime factors of 174 are 2 x 3 x 29

Prime factors of 739 are 739

Prime factors of 966 are 2 x 3 x 7 x 23

Prime factors of 135 are 3 x 3 x 3 x 5

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

Given numbers are 174, 739, 966, 135

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

Apply this formula for all numbers.

Step1:

LCM(174, 739) = 128586

GCD(174, 739) = ( 174 x 739 ) / 128586

= 174 / 739

= 174

Step2:

LCM(1, 966) = 966

GCD(1, 966) = ( 1 x 966 ) / 966

= 1 / 966

= 1

Step3:

LCM(1, 135) = 135

GCD(1, 135) = ( 1 x 135 ) / 135

= 1 / 135

= 1

So, Greatest Common Divisor of 174, 739, 966, 135 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 127, 231, 442, 491
• GCD of 304, 558, 844, 785
• GCD of 742, 782, 516, 772
• GCD of 929, 967, 148, 792
• GCD of 272, 785, 456, 643

Given numbers are 174, 739, 966, 135
The greatest common divisor of numbers 174, 739, 966, 135 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 174, 739, 966, 135 is 1.

1. What is the GCD of 174, 739, 966, 135?

GCD of given numbers 174, 739, 966, 135 is 1

2. How to calculate the greatest common divisor of 174, 739, 966, 135?

We can find the highest common divisor of 174, 739, 966, 135 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 174, 739, 966, 135 i.e 1.

3. How can I use the GCD of 174, 739, 966, 135Calculator?

Out the numbers 174, 739, 966, 135 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.