GCD of 195, 450, 235, 420 Calculator

Given Input numbers are 195, 450, 235, 420

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

Divisors of 195 :

The positive integer divisors of 195 that completely divides 195 are.

1, 3, 5, 13, 15, 39, 65, 195

Divisors of 450 :

The positive integer divisors of 450 that completely divides 450 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

Divisors of 235 :

The positive integer divisors of 235 that completely divides 235 are.

1, 5, 47, 235

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 (195, 450, 235, 420) = 5.

Given numbers are 195, 450, 235, 420

The list of prime factors of all numbers are

Prime factors of 195 are 3 x 5 x 13

Prime factors of 450 are 2 x 3 x 3 x 5 x 5

Prime factors of 235 are 5 x 47

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

The highest common occurrence is 5¹

Therefore, GCD of 195, 450, 235, 420 is 5.

Given numbers are 195, 450, 235, 420

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

Apply this formula for all numbers.

Step1:

LCM(195, 450) = 5850

GCD(195, 450) = ( 195 x 450 ) / 5850

= 195 / 450

= 195

Step2:

LCM(15, 235) = 705

GCD(15, 235) = ( 15 x 235 ) / 705

= 15 / 235

= 15

Step3:

LCM(5, 420) = 420

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

= 5 / 420

= 5

So, Greatest Common Divisor of 195, 450, 235, 420 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 783, 385, 926, 914
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• GCD of 803, 302, 578, 248

Given numbers are 195, 450, 235, 420
The greatest common divisor of numbers 195, 450, 235, 420 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 195, 450, 235, 420 is 5.

1. What is the GCD of 195, 450, 235, 420?

GCD of given numbers 195, 450, 235, 420 is 5

2. How to calculate the greatest common divisor of 195, 450, 235, 420?

We can find the highest common divisor of 195, 450, 235, 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 195, 450, 235, 420 i.e 5.

3. How can I use the GCD of 195, 450, 235, 420Calculator?

Out the numbers 195, 450, 235, 420 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.