GCD of 725, 905, 120, 385 Calculator

Given Input numbers are 725, 905, 120, 385

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 905 :

The positive integer divisors of 905 that completely divides 905 are.

1, 5, 181, 905

Divisors of 120 :

The positive integer divisors of 120 that completely divides 120 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Divisors of 385 :

The positive integer divisors of 385 that completely divides 385 are.

1, 5, 7, 11, 35, 55, 77, 385

GCD of numbers is the greatest common divisor

So, the GCD (725, 905, 120, 385) = 5.

Given numbers are 725, 905, 120, 385

The list of prime factors of all numbers are

Prime factors of 725 are 5 x 5 x 29

Prime factors of 905 are 5 x 181

Prime factors of 120 are 2 x 2 x 2 x 3 x 5

Prime factors of 385 are 5 x 7 x 11

The highest common occurrence is 5¹

Therefore, GCD of 725, 905, 120, 385 is 5.

Given numbers are 725, 905, 120, 385

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

Apply this formula for all numbers.

Step1:

LCM(725, 905) = 131225

GCD(725, 905) = ( 725 x 905 ) / 131225

= 725 / 905

= 725

Step2:

LCM(5, 120) = 120

GCD(5, 120) = ( 5 x 120 ) / 120

= 5 / 120

= 5

Step3:

LCM(5, 385) = 385

GCD(5, 385) = ( 5 x 385 ) / 385

= 5 / 385

= 5

So, Greatest Common Divisor of 725, 905, 120, 385 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 628, 232, 840, 419
• GCD of 219, 904, 913, 310
• GCD of 924, 474, 414, 342
• GCD of 171, 514, 259, 591
• GCD of 717, 258, 705, 991

Given numbers are 725, 905, 120, 385
The greatest common divisor of numbers 725, 905, 120, 385 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 725, 905, 120, 385 is 5.

1. What is the GCD of 725, 905, 120, 385?

GCD of given numbers 725, 905, 120, 385 is 5

2. How to calculate the greatest common divisor of 725, 905, 120, 385?

We can find the highest common divisor of 725, 905, 120, 385 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, 905, 120, 385 i.e 5.

3. How can I use the GCD of 725, 905, 120, 385Calculator?

Out the numbers 725, 905, 120, 385 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.