GCD of 715, 215, 595, 130 Calculator

Given Input numbers are 715, 215, 595, 130

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

Divisors of 715 :

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

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

Divisors of 215 :

The positive integer divisors of 215 that completely divides 215 are.

1, 5, 43, 215

Divisors of 595 :

The positive integer divisors of 595 that completely divides 595 are.

1, 5, 7, 17, 35, 85, 119, 595

Divisors of 130 :

The positive integer divisors of 130 that completely divides 130 are.

1, 2, 5, 10, 13, 26, 65, 130

GCD of numbers is the greatest common divisor

So, the GCD (715, 215, 595, 130) = 5.

Given numbers are 715, 215, 595, 130

The list of prime factors of all numbers are

Prime factors of 715 are 5 x 11 x 13

Prime factors of 215 are 5 x 43

Prime factors of 595 are 5 x 7 x 17

Prime factors of 130 are 2 x 5 x 13

The highest common occurrence is 5¹

Therefore, GCD of 715, 215, 595, 130 is 5.

Given numbers are 715, 215, 595, 130

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

Apply this formula for all numbers.

Step1:

LCM(715, 215) = 30745

GCD(715, 215) = ( 715 x 215 ) / 30745

= 715 / 215

= 715

Step2:

LCM(5, 595) = 595

GCD(5, 595) = ( 5 x 595 ) / 595

= 5 / 595

= 5

Step3:

LCM(5, 130) = 130

GCD(5, 130) = ( 5 x 130 ) / 130

= 5 / 130

= 5

So, Greatest Common Divisor of 715, 215, 595, 130 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 463, 348, 678, 972
• GCD of 309, 497, 792, 916
• GCD of 902, 530, 201, 994
• GCD of 625, 734, 928, 895
• GCD of 459, 788, 445, 250

Given numbers are 715, 215, 595, 130
The greatest common divisor of numbers 715, 215, 595, 130 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 715, 215, 595, 130 is 5.

1. What is the GCD of 715, 215, 595, 130?

GCD of given numbers 715, 215, 595, 130 is 5

2. How to calculate the greatest common divisor of 715, 215, 595, 130?

We can find the highest common divisor of 715, 215, 595, 130 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 715, 215, 595, 130 i.e 5.

3. How can I use the GCD of 715, 215, 595, 130Calculator?

Out the numbers 715, 215, 595, 130 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.