GCD of 172, 116, 452, 745 Calculator

Given Input numbers are 172, 116, 452, 745

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

Divisors of 172 :

The positive integer divisors of 172 that completely divides 172 are.

1, 2, 4, 43, 86, 172

Divisors of 116 :

The positive integer divisors of 116 that completely divides 116 are.

1, 2, 4, 29, 58, 116

Divisors of 452 :

The positive integer divisors of 452 that completely divides 452 are.

1, 2, 4, 113, 226, 452

Divisors of 745 :

The positive integer divisors of 745 that completely divides 745 are.

1, 5, 149, 745

GCD of numbers is the greatest common divisor

So, the GCD (172, 116, 452, 745) = 1.

Given numbers are 172, 116, 452, 745

The list of prime factors of all numbers are

Prime factors of 172 are 2 x 2 x 43

Prime factors of 116 are 2 x 2 x 29

Prime factors of 452 are 2 x 2 x 113

Prime factors of 745 are 5 x 149

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

Given numbers are 172, 116, 452, 745

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

Apply this formula for all numbers.

Step1:

LCM(172, 116) = 4988

GCD(172, 116) = ( 172 x 116 ) / 4988

= 172 / 116

= 172

Step2:

LCM(4, 452) = 452

GCD(4, 452) = ( 4 x 452 ) / 452

= 4 / 452

= 4

Step3:

LCM(4, 745) = 2980

GCD(4, 745) = ( 4 x 745 ) / 2980

= 4 / 745

= 4

So, Greatest Common Divisor of 172, 116, 452, 745 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 993, 718, 683, 513
• GCD of 809, 973, 309, 964
• GCD of 703, 482, 223, 992
• GCD of 766, 674, 163, 177
• GCD of 754, 560, 415, 179

Given numbers are 172, 116, 452, 745
The greatest common divisor of numbers 172, 116, 452, 745 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 172, 116, 452, 745 is 1.

1. What is the GCD of 172, 116, 452, 745?

GCD of given numbers 172, 116, 452, 745 is 1

2. How to calculate the greatest common divisor of 172, 116, 452, 745?

We can find the highest common divisor of 172, 116, 452, 745 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 172, 116, 452, 745 i.e 1.

3. How can I use the GCD of 172, 116, 452, 745Calculator?

Out the numbers 172, 116, 452, 745 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.