GCD of 925, 345, 678, 728 Calculator

Given Input numbers are 925, 345, 678, 728

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

Divisors of 925 :

The positive integer divisors of 925 that completely divides 925 are.

1, 5, 25, 37, 185, 925

Divisors of 345 :

The positive integer divisors of 345 that completely divides 345 are.

1, 3, 5, 15, 23, 69, 115, 345

Divisors of 678 :

The positive integer divisors of 678 that completely divides 678 are.

1, 2, 3, 6, 113, 226, 339, 678

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

GCD of numbers is the greatest common divisor

So, the GCD (925, 345, 678, 728) = 1.

Given numbers are 925, 345, 678, 728

The list of prime factors of all numbers are

Prime factors of 925 are 5 x 5 x 37

Prime factors of 345 are 3 x 5 x 23

Prime factors of 678 are 2 x 3 x 113

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

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

Given numbers are 925, 345, 678, 728

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

Apply this formula for all numbers.

Step1:

LCM(925, 345) = 63825

GCD(925, 345) = ( 925 x 345 ) / 63825

= 925 / 345

= 925

Step2:

LCM(5, 678) = 3390

GCD(5, 678) = ( 5 x 678 ) / 3390

= 5 / 678

= 5

Step3:

LCM(1, 728) = 728

GCD(1, 728) = ( 1 x 728 ) / 728

= 1 / 728

= 1

So, Greatest Common Divisor of 925, 345, 678, 728 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 429, 553, 595, 439
• GCD of 895, 839, 433, 695
• GCD of 635, 766, 434, 914
• GCD of 686, 887, 531, 571
• GCD of 822, 480, 711, 498

Given numbers are 925, 345, 678, 728
The greatest common divisor of numbers 925, 345, 678, 728 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 925, 345, 678, 728 is 1.

1. What is the GCD of 925, 345, 678, 728?

GCD of given numbers 925, 345, 678, 728 is 1

2. How to calculate the greatest common divisor of 925, 345, 678, 728?

We can find the highest common divisor of 925, 345, 678, 728 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 925, 345, 678, 728 i.e 1.

3. How can I use the GCD of 925, 345, 678, 728Calculator?

Out the numbers 925, 345, 678, 728 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.