GCD of 916, 505, 725, 162 Calculator

Given Input numbers are 916, 505, 725, 162

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

Divisors of 916 :

The positive integer divisors of 916 that completely divides 916 are.

1, 2, 4, 229, 458, 916

Divisors of 505 :

The positive integer divisors of 505 that completely divides 505 are.

1, 5, 101, 505

Divisors of 725 :

The positive integer divisors of 725 that completely divides 725 are.

1, 5, 25, 29, 145, 725

Divisors of 162 :

The positive integer divisors of 162 that completely divides 162 are.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162

GCD of numbers is the greatest common divisor

So, the GCD (916, 505, 725, 162) = 1.

Given numbers are 916, 505, 725, 162

The list of prime factors of all numbers are

Prime factors of 916 are 2 x 2 x 229

Prime factors of 505 are 5 x 101

Prime factors of 725 are 5 x 5 x 29

Prime factors of 162 are 2 x 3 x 3 x 3 x 3

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

Given numbers are 916, 505, 725, 162

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

Apply this formula for all numbers.

Step1:

LCM(916, 505) = 462580

GCD(916, 505) = ( 916 x 505 ) / 462580

= 916 / 505

= 916

Step2:

LCM(1, 725) = 725

GCD(1, 725) = ( 1 x 725 ) / 725

= 1 / 725

= 1

Step3:

LCM(1, 162) = 162

GCD(1, 162) = ( 1 x 162 ) / 162

= 1 / 162

= 1

So, Greatest Common Divisor of 916, 505, 725, 162 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 755, 357, 104, 678
• GCD of 437, 435, 612, 277
• GCD of 615, 323, 336, 181
• GCD of 611, 145, 322, 240
• GCD of 274, 662, 618, 452

Given numbers are 916, 505, 725, 162
The greatest common divisor of numbers 916, 505, 725, 162 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 916, 505, 725, 162 is 1.

1. What is the GCD of 916, 505, 725, 162?

GCD of given numbers 916, 505, 725, 162 is 1

2. How to calculate the greatest common divisor of 916, 505, 725, 162?

We can find the highest common divisor of 916, 505, 725, 162 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 916, 505, 725, 162 i.e 1.

3. How can I use the GCD of 916, 505, 725, 162Calculator?

Out the numbers 916, 505, 725, 162 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.