GCD of 470, 130, 135, 420 Calculator

Given Input numbers are 470, 130, 135, 420

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

Divisors of 470 :

The positive integer divisors of 470 that completely divides 470 are.

1, 2, 5, 10, 47, 94, 235, 470

Divisors of 130 :

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

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

Divisors of 135 :

The positive integer divisors of 135 that completely divides 135 are.

1, 3, 5, 9, 15, 27, 45, 135

Divisors of 420 :

The positive integer divisors of 420 that completely divides 420 are.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

GCD of numbers is the greatest common divisor

So, the GCD (470, 130, 135, 420) = 5.

Given numbers are 470, 130, 135, 420

The list of prime factors of all numbers are

Prime factors of 470 are 2 x 5 x 47

Prime factors of 130 are 2 x 5 x 13

Prime factors of 135 are 3 x 3 x 3 x 5

Prime factors of 420 are 2 x 2 x 3 x 5 x 7

The highest common occurrence is 5¹

Therefore, GCD of 470, 130, 135, 420 is 5.

Given numbers are 470, 130, 135, 420

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

Apply this formula for all numbers.

Step1:

LCM(470, 130) = 6110

GCD(470, 130) = ( 470 x 130 ) / 6110

= 470 / 130

= 470

Step2:

LCM(10, 135) = 270

GCD(10, 135) = ( 10 x 135 ) / 270

= 10 / 135

= 10

Step3:

LCM(5, 420) = 420

GCD(5, 420) = ( 5 x 420 ) / 420

= 5 / 420

= 5

So, Greatest Common Divisor of 470, 130, 135, 420 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 411, 364, 766, 274
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Given numbers are 470, 130, 135, 420
The greatest common divisor of numbers 470, 130, 135, 420 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 470, 130, 135, 420 is 5.

1. What is the GCD of 470, 130, 135, 420?

GCD of given numbers 470, 130, 135, 420 is 5

2. How to calculate the greatest common divisor of 470, 130, 135, 420?

We can find the highest common divisor of 470, 130, 135, 420 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 470, 130, 135, 420 i.e 5.

3. How can I use the GCD of 470, 130, 135, 420Calculator?

Out the numbers 470, 130, 135, 420 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.