GCD of 340, 360, 130 Calculator

Given Input numbers are 340, 360, 130

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

Divisors of 340 :

The positive integer divisors of 340 that completely divides 340 are.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

Divisors of 360 :

The positive integer divisors of 360 that completely divides 360 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 130 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (340, 360, 130) = 10.

Given numbers are 340, 360, 130

The list of prime factors of all numbers are

Prime factors of 340 are 2 x 2 x 5 x 17

Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 130 are 2 x 5 x 13

The highest common occurrence is 2¹ x 5¹

Therefore, GCD of 340, 360, 130 is 10.

Given numbers are 340, 360, 130

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

Apply this formula for all numbers.

Step1:

LCM(340, 360) = 6120

GCD(340, 360) = ( 340 x 360 ) / 6120

= 340 / 360

= 340

Step2:

LCM(20, 130) = 260

GCD(20, 130) = ( 20 x 130 ) / 260

= 20 / 130

= 20

So, Greatest Common Divisor of 340, 360, 130 is 10

Here are some samples of GCD of Numbers calculations.

• GCD of 985, 309, 421
• GCD of 104, 768, 305
• GCD of 747, 312, 280
• GCD of 809, 884, 362
• GCD of 196, 423, 435

Given numbers are 340, 360, 130
The greatest common divisor of numbers 340, 360, 130 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 340, 360, 130 is 10.

1. What is the GCD of 340, 360, 130?

GCD of given numbers 340, 360, 130 is 10

2. How to calculate the greatest common divisor of 340, 360, 130?

We can find the highest common divisor of 340, 360, 130 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 340, 360, 130 i.e 10.

3. How can I use the GCD of 340, 360, 130Calculator?

Out the numbers 340, 360, 130 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.