GCD of 146, 870, 130, 320 Calculator

Given Input numbers are 146, 870, 130, 320

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

Divisors of 146 :

The positive integer divisors of 146 that completely divides 146 are.

1, 2, 73, 146

Divisors of 870 :

The positive integer divisors of 870 that completely divides 870 are.

1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

Divisors of 130 :

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

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

Divisors of 320 :

The positive integer divisors of 320 that completely divides 320 are.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

GCD of numbers is the greatest common divisor

So, the GCD (146, 870, 130, 320) = 2.

Given numbers are 146, 870, 130, 320

The list of prime factors of all numbers are

Prime factors of 146 are 2 x 73

Prime factors of 870 are 2 x 3 x 5 x 29

Prime factors of 130 are 2 x 5 x 13

Prime factors of 320 are 2 x 2 x 2 x 2 x 2 x 2 x 5

The highest common occurrence is 2¹

Therefore, GCD of 146, 870, 130, 320 is 2.

Given numbers are 146, 870, 130, 320

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

Apply this formula for all numbers.

Step1:

LCM(146, 870) = 63510

GCD(146, 870) = ( 146 x 870 ) / 63510

= 146 / 870

= 146

Step2:

LCM(2, 130) = 130

GCD(2, 130) = ( 2 x 130 ) / 130

= 2 / 130

= 2

Step3:

LCM(2, 320) = 320

GCD(2, 320) = ( 2 x 320 ) / 320

= 2 / 320

= 2

So, Greatest Common Divisor of 146, 870, 130, 320 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 348, 514, 790, 621
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Given numbers are 146, 870, 130, 320
The greatest common divisor of numbers 146, 870, 130, 320 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 146, 870, 130, 320 is 2.

1. What is the GCD of 146, 870, 130, 320?

GCD of given numbers 146, 870, 130, 320 is 2

2. How to calculate the greatest common divisor of 146, 870, 130, 320?

We can find the highest common divisor of 146, 870, 130, 320 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 146, 870, 130, 320 i.e 2.

3. How can I use the GCD of 146, 870, 130, 320Calculator?

Out the numbers 146, 870, 130, 320 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.