GCD of 725, 770, 815, 925 Calculator

Given Input numbers are 725, 770, 815, 925

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

Divisors of 725 :

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

1, 5, 25, 29, 145, 725

Divisors of 770 :

The positive integer divisors of 770 that completely divides 770 are.

1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

Divisors of 815 :

The positive integer divisors of 815 that completely divides 815 are.

1, 5, 163, 815

Divisors of 925 :

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

1, 5, 25, 37, 185, 925

GCD of numbers is the greatest common divisor

So, the GCD (725, 770, 815, 925) = 5.

Given numbers are 725, 770, 815, 925

The list of prime factors of all numbers are

Prime factors of 725 are 5 x 5 x 29

Prime factors of 770 are 2 x 5 x 7 x 11

Prime factors of 815 are 5 x 163

Prime factors of 925 are 5 x 5 x 37

The highest common occurrence is 5¹

Therefore, GCD of 725, 770, 815, 925 is 5.

Given numbers are 725, 770, 815, 925

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

Apply this formula for all numbers.

Step1:

LCM(725, 770) = 111650

GCD(725, 770) = ( 725 x 770 ) / 111650

= 725 / 770

= 725

Step2:

LCM(5, 815) = 815

GCD(5, 815) = ( 5 x 815 ) / 815

= 5 / 815

= 5

Step3:

LCM(5, 925) = 925

GCD(5, 925) = ( 5 x 925 ) / 925

= 5 / 925

= 5

So, Greatest Common Divisor of 725, 770, 815, 925 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 248, 479, 536, 602
• GCD of 999, 808, 927, 877
• GCD of 729, 673, 265, 181
• GCD of 214, 178, 391, 179
• GCD of 429, 382, 209, 976

Given numbers are 725, 770, 815, 925
The greatest common divisor of numbers 725, 770, 815, 925 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 725, 770, 815, 925 is 5.

1. What is the GCD of 725, 770, 815, 925?

GCD of given numbers 725, 770, 815, 925 is 5

2. How to calculate the greatest common divisor of 725, 770, 815, 925?

We can find the highest common divisor of 725, 770, 815, 925 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 725, 770, 815, 925 i.e 5.

3. How can I use the GCD of 725, 770, 815, 925Calculator?

Out the numbers 725, 770, 815, 925 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.