GCD of 302, 428, 362, 214 Calculator

Given Input numbers are 302, 428, 362, 214

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

Divisors of 302 :

The positive integer divisors of 302 that completely divides 302 are.

1, 2, 151, 302

Divisors of 428 :

The positive integer divisors of 428 that completely divides 428 are.

1, 2, 4, 107, 214, 428

Divisors of 362 :

The positive integer divisors of 362 that completely divides 362 are.

1, 2, 181, 362

Divisors of 214 :

The positive integer divisors of 214 that completely divides 214 are.

1, 2, 107, 214

GCD of numbers is the greatest common divisor

So, the GCD (302, 428, 362, 214) = 2.

Given numbers are 302, 428, 362, 214

The list of prime factors of all numbers are

Prime factors of 302 are 2 x 151

Prime factors of 428 are 2 x 2 x 107

Prime factors of 362 are 2 x 181

Prime factors of 214 are 2 x 107

The highest common occurrence is 2¹

Therefore, GCD of 302, 428, 362, 214 is 2.

Given numbers are 302, 428, 362, 214

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

Apply this formula for all numbers.

Step1:

LCM(302, 428) = 64628

GCD(302, 428) = ( 302 x 428 ) / 64628

= 302 / 428

= 302

Step2:

LCM(2, 362) = 362

GCD(2, 362) = ( 2 x 362 ) / 362

= 2 / 362

= 2

Step3:

LCM(2, 214) = 214

GCD(2, 214) = ( 2 x 214 ) / 214

= 2 / 214

= 2

So, Greatest Common Divisor of 302, 428, 362, 214 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 721, 144, 599, 500
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• GCD of 862, 818, 436, 379
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• GCD of 628, 529, 361, 166

Given numbers are 302, 428, 362, 214
The greatest common divisor of numbers 302, 428, 362, 214 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 302, 428, 362, 214 is 2.

1. What is the GCD of 302, 428, 362, 214?

GCD of given numbers 302, 428, 362, 214 is 2

2. How to calculate the greatest common divisor of 302, 428, 362, 214?

We can find the highest common divisor of 302, 428, 362, 214 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 302, 428, 362, 214 i.e 2.

3. How can I use the GCD of 302, 428, 362, 214Calculator?

Out the numbers 302, 428, 362, 214 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.