GCD of 164, 334, 380, 420 Calculator

Given Input numbers are 164, 334, 380, 420

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

Divisors of 164 :

The positive integer divisors of 164 that completely divides 164 are.

1, 2, 4, 41, 82, 164

Divisors of 334 :

The positive integer divisors of 334 that completely divides 334 are.

1, 2, 167, 334

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 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 (164, 334, 380, 420) = 2.

Given numbers are 164, 334, 380, 420

The list of prime factors of all numbers are

Prime factors of 164 are 2 x 2 x 41

Prime factors of 334 are 2 x 167

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

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

The highest common occurrence is 2¹

Therefore, GCD of 164, 334, 380, 420 is 2.

Given numbers are 164, 334, 380, 420

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

Apply this formula for all numbers.

Step1:

LCM(164, 334) = 27388

GCD(164, 334) = ( 164 x 334 ) / 27388

= 164 / 334

= 164

Step2:

LCM(2, 380) = 380

GCD(2, 380) = ( 2 x 380 ) / 380

= 2 / 380

= 2

Step3:

LCM(2, 420) = 420

GCD(2, 420) = ( 2 x 420 ) / 420

= 2 / 420

= 2

So, Greatest Common Divisor of 164, 334, 380, 420 is 2

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• GCD of 942, 653, 968, 909
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Given numbers are 164, 334, 380, 420
The greatest common divisor of numbers 164, 334, 380, 420 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 164, 334, 380, 420 is 2.

1. What is the GCD of 164, 334, 380, 420?

GCD of given numbers 164, 334, 380, 420 is 2

2. How to calculate the greatest common divisor of 164, 334, 380, 420?

We can find the highest common divisor of 164, 334, 380, 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 164, 334, 380, 420 i.e 2.

3. How can I use the GCD of 164, 334, 380, 420Calculator?

Out the numbers 164, 334, 380, 420 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.