GCD of 143, 105, 174, 264 Calculator

Given Input numbers are 143, 105, 174, 264

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

Divisors of 143 :

The positive integer divisors of 143 that completely divides 143 are.

1, 11, 13, 143

Divisors of 105 :

The positive integer divisors of 105 that completely divides 105 are.

1, 3, 5, 7, 15, 21, 35, 105

Divisors of 174 :

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

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

Divisors of 264 :

The positive integer divisors of 264 that completely divides 264 are.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

GCD of numbers is the greatest common divisor

So, the GCD (143, 105, 174, 264) = 1.

Given numbers are 143, 105, 174, 264

The list of prime factors of all numbers are

Prime factors of 143 are 11 x 13

Prime factors of 105 are 3 x 5 x 7

Prime factors of 174 are 2 x 3 x 29

Prime factors of 264 are 2 x 2 x 2 x 3 x 11

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

Given numbers are 143, 105, 174, 264

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

Apply this formula for all numbers.

Step1:

LCM(143, 105) = 15015

GCD(143, 105) = ( 143 x 105 ) / 15015

= 143 / 105

= 143

Step2:

LCM(1, 174) = 174

GCD(1, 174) = ( 1 x 174 ) / 174

= 1 / 174

= 1

Step3:

LCM(1, 264) = 264

GCD(1, 264) = ( 1 x 264 ) / 264

= 1 / 264

= 1

So, Greatest Common Divisor of 143, 105, 174, 264 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 365, 580, 294, 478
• GCD of 354, 152, 983, 826
• GCD of 463, 346, 504, 716
• GCD of 935, 451, 627, 205
• GCD of 375, 420, 508, 163

Given numbers are 143, 105, 174, 264
The greatest common divisor of numbers 143, 105, 174, 264 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 143, 105, 174, 264 is 1.

1. What is the GCD of 143, 105, 174, 264?

GCD of given numbers 143, 105, 174, 264 is 1

2. How to calculate the greatest common divisor of 143, 105, 174, 264?

We can find the highest common divisor of 143, 105, 174, 264 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 143, 105, 174, 264 i.e 1.

3. How can I use the GCD of 143, 105, 174, 264Calculator?

Out the numbers 143, 105, 174, 264 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.