GCD of 130, 850, 315, 425 Calculator

Given Input numbers are 130, 850, 315, 425

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

Divisors of 130 :

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

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

Divisors of 850 :

The positive integer divisors of 850 that completely divides 850 are.

1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850

Divisors of 315 :

The positive integer divisors of 315 that completely divides 315 are.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

Divisors of 425 :

The positive integer divisors of 425 that completely divides 425 are.

1, 5, 17, 25, 85, 425

GCD of numbers is the greatest common divisor

So, the GCD (130, 850, 315, 425) = 5.

Given numbers are 130, 850, 315, 425

The list of prime factors of all numbers are

Prime factors of 130 are 2 x 5 x 13

Prime factors of 850 are 2 x 5 x 5 x 17

Prime factors of 315 are 3 x 3 x 5 x 7

Prime factors of 425 are 5 x 5 x 17

The highest common occurrence is 5¹

Therefore, GCD of 130, 850, 315, 425 is 5.

Given numbers are 130, 850, 315, 425

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

Apply this formula for all numbers.

Step1:

LCM(130, 850) = 11050

GCD(130, 850) = ( 130 x 850 ) / 11050

= 130 / 850

= 130

Step2:

LCM(10, 315) = 630

GCD(10, 315) = ( 10 x 315 ) / 630

= 10 / 315

= 10

Step3:

LCM(5, 425) = 425

GCD(5, 425) = ( 5 x 425 ) / 425

= 5 / 425

= 5

So, Greatest Common Divisor of 130, 850, 315, 425 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 318, 728, 854, 262
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Given numbers are 130, 850, 315, 425
The greatest common divisor of numbers 130, 850, 315, 425 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 130, 850, 315, 425 is 5.

1. What is the GCD of 130, 850, 315, 425?

GCD of given numbers 130, 850, 315, 425 is 5

2. How to calculate the greatest common divisor of 130, 850, 315, 425?

We can find the highest common divisor of 130, 850, 315, 425 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 130, 850, 315, 425 i.e 5.

3. How can I use the GCD of 130, 850, 315, 425Calculator?

Out the numbers 130, 850, 315, 425 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.