GCD of 118, 728, 686, 225 Calculator

Given Input numbers are 118, 728, 686, 225

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

Divisors of 118 :

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

1, 2, 59, 118

Divisors of 728 :

The positive integer divisors of 728 that completely divides 728 are.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

Divisors of 686 :

The positive integer divisors of 686 that completely divides 686 are.

1, 2, 7, 14, 49, 98, 343, 686

Divisors of 225 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (118, 728, 686, 225) = 1.

Given numbers are 118, 728, 686, 225

The list of prime factors of all numbers are

Prime factors of 118 are 2 x 59

Prime factors of 728 are 2 x 2 x 2 x 7 x 13

Prime factors of 686 are 2 x 7 x 7 x 7

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

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

Given numbers are 118, 728, 686, 225

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

Apply this formula for all numbers.

Step1:

LCM(118, 728) = 42952

GCD(118, 728) = ( 118 x 728 ) / 42952

= 118 / 728

= 118

Step2:

LCM(2, 686) = 686

GCD(2, 686) = ( 2 x 686 ) / 686

= 2 / 686

= 2

Step3:

LCM(2, 225) = 450

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

= 2 / 225

= 2

So, Greatest Common Divisor of 118, 728, 686, 225 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 528, 133, 642, 501
• GCD of 791, 849, 652, 768
• GCD of 277, 786, 451, 501
• GCD of 696, 757, 309, 595
• GCD of 476, 835, 231, 424

Given numbers are 118, 728, 686, 225
The greatest common divisor of numbers 118, 728, 686, 225 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 118, 728, 686, 225 is 1.

1. What is the GCD of 118, 728, 686, 225?

GCD of given numbers 118, 728, 686, 225 is 1

2. How to calculate the greatest common divisor of 118, 728, 686, 225?

We can find the highest common divisor of 118, 728, 686, 225 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 118, 728, 686, 225 i.e 1.

3. How can I use the GCD of 118, 728, 686, 225Calculator?

Out the numbers 118, 728, 686, 225 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.