GCD of 730, 915, 785, 380 Calculator

Given Input numbers are 730, 915, 785, 380

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

Divisors of 730 :

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

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

Divisors of 915 :

The positive integer divisors of 915 that completely divides 915 are.

1, 3, 5, 15, 61, 183, 305, 915

Divisors of 785 :

The positive integer divisors of 785 that completely divides 785 are.

1, 5, 157, 785

Divisors of 380 :

The positive integer divisors of 380 that completely divides 380 are.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

GCD of numbers is the greatest common divisor

So, the GCD (730, 915, 785, 380) = 5.

Given numbers are 730, 915, 785, 380

The list of prime factors of all numbers are

Prime factors of 730 are 2 x 5 x 73

Prime factors of 915 are 3 x 5 x 61

Prime factors of 785 are 5 x 157

Prime factors of 380 are 2 x 2 x 5 x 19

The highest common occurrence is 5¹

Therefore, GCD of 730, 915, 785, 380 is 5.

Given numbers are 730, 915, 785, 380

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

Apply this formula for all numbers.

Step1:

LCM(730, 915) = 133590

GCD(730, 915) = ( 730 x 915 ) / 133590

= 730 / 915

= 730

Step2:

LCM(5, 785) = 785

GCD(5, 785) = ( 5 x 785 ) / 785

= 5 / 785

= 5

Step3:

LCM(5, 380) = 380

GCD(5, 380) = ( 5 x 380 ) / 380

= 5 / 380

= 5

So, Greatest Common Divisor of 730, 915, 785, 380 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 184, 170, 323, 507
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• GCD of 852, 810, 136, 532
• GCD of 166, 567, 487, 519

Given numbers are 730, 915, 785, 380
The greatest common divisor of numbers 730, 915, 785, 380 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 730, 915, 785, 380 is 5.

1. What is the GCD of 730, 915, 785, 380?

GCD of given numbers 730, 915, 785, 380 is 5

2. How to calculate the greatest common divisor of 730, 915, 785, 380?

We can find the highest common divisor of 730, 915, 785, 380 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 730, 915, 785, 380 i.e 5.

3. How can I use the GCD of 730, 915, 785, 380Calculator?

Out the numbers 730, 915, 785, 380 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.