GCD of 355, 375, 730, 830 Calculator

Given Input numbers are 355, 375, 730, 830

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

Divisors of 355 :

The positive integer divisors of 355 that completely divides 355 are.

1, 5, 71, 355

Divisors of 375 :

The positive integer divisors of 375 that completely divides 375 are.

1, 3, 5, 15, 25, 75, 125, 375

Divisors of 730 :

The positive integer divisors of 730 that completely divides 730 are.

1, 2, 5, 10, 73, 146, 365, 730

Divisors of 830 :

The positive integer divisors of 830 that completely divides 830 are.

1, 2, 5, 10, 83, 166, 415, 830

GCD of numbers is the greatest common divisor

So, the GCD (355, 375, 730, 830) = 5.

Given numbers are 355, 375, 730, 830

The list of prime factors of all numbers are

Prime factors of 355 are 5 x 71

Prime factors of 375 are 3 x 5 x 5 x 5

Prime factors of 730 are 2 x 5 x 73

Prime factors of 830 are 2 x 5 x 83

The highest common occurrence is 5¹

Therefore, GCD of 355, 375, 730, 830 is 5.

Given numbers are 355, 375, 730, 830

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

Apply this formula for all numbers.

Step1:

LCM(355, 375) = 26625

GCD(355, 375) = ( 355 x 375 ) / 26625

= 355 / 375

= 355

Step2:

LCM(5, 730) = 730

GCD(5, 730) = ( 5 x 730 ) / 730

= 5 / 730

= 5

Step3:

LCM(5, 830) = 830

GCD(5, 830) = ( 5 x 830 ) / 830

= 5 / 830

= 5

So, Greatest Common Divisor of 355, 375, 730, 830 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 837, 381, 511, 878
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Given numbers are 355, 375, 730, 830
The greatest common divisor of numbers 355, 375, 730, 830 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 355, 375, 730, 830 is 5.

1. What is the GCD of 355, 375, 730, 830?

GCD of given numbers 355, 375, 730, 830 is 5

2. How to calculate the greatest common divisor of 355, 375, 730, 830?

We can find the highest common divisor of 355, 375, 730, 830 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 355, 375, 730, 830 i.e 5.

3. How can I use the GCD of 355, 375, 730, 830Calculator?

Out the numbers 355, 375, 730, 830 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.