GCD of 380, 548, 730, 460 Calculator

Given Input numbers are 380, 548, 730, 460

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

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

Divisors of 548 :

The positive integer divisors of 548 that completely divides 548 are.

1, 2, 4, 137, 274, 548

Divisors of 730 :

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

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

Divisors of 460 :

The positive integer divisors of 460 that completely divides 460 are.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

GCD of numbers is the greatest common divisor

So, the GCD (380, 548, 730, 460) = 2.

Given numbers are 380, 548, 730, 460

The list of prime factors of all numbers are

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

Prime factors of 548 are 2 x 2 x 137

Prime factors of 730 are 2 x 5 x 73

Prime factors of 460 are 2 x 2 x 5 x 23

The highest common occurrence is 2¹

Therefore, GCD of 380, 548, 730, 460 is 2.

Given numbers are 380, 548, 730, 460

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

Apply this formula for all numbers.

Step1:

LCM(380, 548) = 52060

GCD(380, 548) = ( 380 x 548 ) / 52060

= 380 / 548

= 380

Step2:

LCM(4, 730) = 1460

GCD(4, 730) = ( 4 x 730 ) / 1460

= 4 / 730

= 4

Step3:

LCM(2, 460) = 460

GCD(2, 460) = ( 2 x 460 ) / 460

= 2 / 460

= 2

So, Greatest Common Divisor of 380, 548, 730, 460 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 235, 901, 813, 808
• GCD of 795, 932, 257, 402
• GCD of 466, 827, 644, 865
• GCD of 896, 580, 721, 936
• GCD of 223, 668, 126, 172

Given numbers are 380, 548, 730, 460
The greatest common divisor of numbers 380, 548, 730, 460 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 380, 548, 730, 460 is 2.

1. What is the GCD of 380, 548, 730, 460?

GCD of given numbers 380, 548, 730, 460 is 2

2. How to calculate the greatest common divisor of 380, 548, 730, 460?

We can find the highest common divisor of 380, 548, 730, 460 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 380, 548, 730, 460 i.e 2.

3. How can I use the GCD of 380, 548, 730, 460Calculator?

Out the numbers 380, 548, 730, 460 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.