GCD of 200, 535, 715 Calculator

Given Input numbers are 200, 535, 715

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 535 :

The positive integer divisors of 535 that completely divides 535 are.

1, 5, 107, 535

Divisors of 715 :

The positive integer divisors of 715 that completely divides 715 are.

1, 5, 11, 13, 55, 65, 143, 715

GCD of numbers is the greatest common divisor

So, the GCD (200, 535, 715) = 5.

Given numbers are 200, 535, 715

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 535 are 5 x 107

Prime factors of 715 are 5 x 11 x 13

The highest common occurrence is 5¹

Therefore, GCD of 200, 535, 715 is 5.

Given numbers are 200, 535, 715

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

Apply this formula for all numbers.

Step1:

LCM(200, 535) = 21400

GCD(200, 535) = ( 200 x 535 ) / 21400

= 200 / 535

= 200

Step2:

LCM(5, 715) = 715

GCD(5, 715) = ( 5 x 715 ) / 715

= 5 / 715

= 5

So, Greatest Common Divisor of 200, 535, 715 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 152, 664, 823
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Given numbers are 200, 535, 715
The greatest common divisor of numbers 200, 535, 715 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 200, 535, 715 is 5.

1. What is the GCD of 200, 535, 715?

GCD of given numbers 200, 535, 715 is 5

2. How to calculate the greatest common divisor of 200, 535, 715?

We can find the highest common divisor of 200, 535, 715 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, 535, 715 i.e 5.

3. How can I use the GCD of 200, 535, 715Calculator?

Out the numbers 200, 535, 715 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.