GCD of 200, 395, 725, 695 Calculator

Given Input numbers are 200, 395, 725, 695

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

Divisors of 200 :

The positive integer divisors of 200 that completely divides 200 are.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

Divisors of 395 :

The positive integer divisors of 395 that completely divides 395 are.

1, 5, 79, 395

Divisors of 725 :

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

1, 5, 25, 29, 145, 725

Divisors of 695 :

The positive integer divisors of 695 that completely divides 695 are.

1, 5, 139, 695

GCD of numbers is the greatest common divisor

So, the GCD (200, 395, 725, 695) = 5.

Given numbers are 200, 395, 725, 695

The list of prime factors of all numbers are

Prime factors of 200 are 2 x 2 x 2 x 5 x 5

Prime factors of 395 are 5 x 79

Prime factors of 725 are 5 x 5 x 29

Prime factors of 695 are 5 x 139

The highest common occurrence is 5¹

Therefore, GCD of 200, 395, 725, 695 is 5.

Given numbers are 200, 395, 725, 695

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

Apply this formula for all numbers.

Step1:

LCM(200, 395) = 15800

GCD(200, 395) = ( 200 x 395 ) / 15800

= 200 / 395

= 200

Step2:

LCM(5, 725) = 725

GCD(5, 725) = ( 5 x 725 ) / 725

= 5 / 725

= 5

Step3:

LCM(5, 695) = 695

GCD(5, 695) = ( 5 x 695 ) / 695

= 5 / 695

= 5

So, Greatest Common Divisor of 200, 395, 725, 695 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 509, 513, 760, 400
• GCD of 956, 176, 862, 204
• GCD of 135, 750, 143, 124
• GCD of 718, 256, 261, 268
• GCD of 671, 251, 228, 567

Given numbers are 200, 395, 725, 695
The greatest common divisor of numbers 200, 395, 725, 695 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 200, 395, 725, 695 is 5.

1. What is the GCD of 200, 395, 725, 695?

GCD of given numbers 200, 395, 725, 695 is 5

2. How to calculate the greatest common divisor of 200, 395, 725, 695?

We can find the highest common divisor of 200, 395, 725, 695 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 200, 395, 725, 695 i.e 5.

3. How can I use the GCD of 200, 395, 725, 695Calculator?

Out the numbers 200, 395, 725, 695 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.