GCD of 174, 506, 225, 118 Calculator

Given Input numbers are 174, 506, 225, 118

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 506 :

The positive integer divisors of 506 that completely divides 506 are.

1, 2, 11, 22, 23, 46, 253, 506

Divisors of 225 :

The positive integer divisors of 225 that completely divides 225 are.

1, 3, 5, 9, 15, 25, 45, 75, 225

Divisors of 118 :

The positive integer divisors of 118 that completely divides 118 are.

1, 2, 59, 118

GCD of numbers is the greatest common divisor

So, the GCD (174, 506, 225, 118) = 1.

Given numbers are 174, 506, 225, 118

The list of prime factors of all numbers are

Prime factors of 174 are 2 x 3 x 29

Prime factors of 506 are 2 x 11 x 23

Prime factors of 225 are 3 x 3 x 5 x 5

Prime factors of 118 are 2 x 59

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

Given numbers are 174, 506, 225, 118

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

Apply this formula for all numbers.

Step1:

LCM(174, 506) = 44022

GCD(174, 506) = ( 174 x 506 ) / 44022

= 174 / 506

= 174

Step2:

LCM(2, 225) = 450

GCD(2, 225) = ( 2 x 225 ) / 450

= 2 / 225

= 2

Step3:

LCM(1, 118) = 118

GCD(1, 118) = ( 1 x 118 ) / 118

= 1 / 118

= 1

So, Greatest Common Divisor of 174, 506, 225, 118 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 327, 501, 123, 323
• GCD of 947, 865, 323, 216
• GCD of 352, 568, 929, 917
• GCD of 989, 933, 427, 211
• GCD of 871, 477, 658, 428

Given numbers are 174, 506, 225, 118
The greatest common divisor of numbers 174, 506, 225, 118 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 174, 506, 225, 118 is 1.

1. What is the GCD of 174, 506, 225, 118?

GCD of given numbers 174, 506, 225, 118 is 1

2. How to calculate the greatest common divisor of 174, 506, 225, 118?

We can find the highest common divisor of 174, 506, 225, 118 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, 506, 225, 118 i.e 1.

3. How can I use the GCD of 174, 506, 225, 118Calculator?

Out the numbers 174, 506, 225, 118 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.