GCD of 380, 480, 270, 260 Calculator

Given Input numbers are 380, 480, 270, 260

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 480 :

The positive integer divisors of 480 that completely divides 480 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

Divisors of 270 :

The positive integer divisors of 270 that completely divides 270 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

Divisors of 260 :

The positive integer divisors of 260 that completely divides 260 are.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

GCD of numbers is the greatest common divisor

So, the GCD (380, 480, 270, 260) = 10.

Given numbers are 380, 480, 270, 260

The list of prime factors of all numbers are

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

Prime factors of 480 are 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 270 are 2 x 3 x 3 x 3 x 5

Prime factors of 260 are 2 x 2 x 5 x 13

The highest common occurrence is 2¹ x 5¹

Therefore, GCD of 380, 480, 270, 260 is 10.

Given numbers are 380, 480, 270, 260

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

Apply this formula for all numbers.

Step1:

LCM(380, 480) = 9120

GCD(380, 480) = ( 380 x 480 ) / 9120

= 380 / 480

= 380

Step2:

LCM(20, 270) = 540

GCD(20, 270) = ( 20 x 270 ) / 540

= 20 / 270

= 20

Step3:

LCM(10, 260) = 260

GCD(10, 260) = ( 10 x 260 ) / 260

= 10 / 260

= 10

So, Greatest Common Divisor of 380, 480, 270, 260 is 10

Here are some samples of GCD of Numbers calculations.

• GCD of 224, 912, 553, 278
• GCD of 912, 147, 305, 591
• GCD of 959, 486, 218, 239
• GCD of 868, 988, 154, 497
• GCD of 779, 881, 586, 359

Given numbers are 380, 480, 270, 260
The greatest common divisor of numbers 380, 480, 270, 260 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 380, 480, 270, 260 is 10.

1. What is the GCD of 380, 480, 270, 260?

GCD of given numbers 380, 480, 270, 260 is 10

2. How to calculate the greatest common divisor of 380, 480, 270, 260?

We can find the highest common divisor of 380, 480, 270, 260 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, 480, 270, 260 i.e 10.

3. How can I use the GCD of 380, 480, 270, 260Calculator?

Out the numbers 380, 480, 270, 260 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.