GCD of 428, 398, 238, 202 Calculator

Given Input numbers are 428, 398, 238, 202

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

Divisors of 428 :

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

1, 2, 4, 107, 214, 428

Divisors of 398 :

The positive integer divisors of 398 that completely divides 398 are.

1, 2, 199, 398

Divisors of 238 :

The positive integer divisors of 238 that completely divides 238 are.

1, 2, 7, 14, 17, 34, 119, 238

Divisors of 202 :

The positive integer divisors of 202 that completely divides 202 are.

1, 2, 101, 202

GCD of numbers is the greatest common divisor

So, the GCD (428, 398, 238, 202) = 2.

Given numbers are 428, 398, 238, 202

The list of prime factors of all numbers are

Prime factors of 428 are 2 x 2 x 107

Prime factors of 398 are 2 x 199

Prime factors of 238 are 2 x 7 x 17

Prime factors of 202 are 2 x 101

The highest common occurrence is 2¹

Therefore, GCD of 428, 398, 238, 202 is 2.

Given numbers are 428, 398, 238, 202

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

Apply this formula for all numbers.

Step1:

LCM(428, 398) = 85172

GCD(428, 398) = ( 428 x 398 ) / 85172

= 428 / 398

= 428

Step2:

LCM(2, 238) = 238

GCD(2, 238) = ( 2 x 238 ) / 238

= 2 / 238

= 2

Step3:

LCM(2, 202) = 202

GCD(2, 202) = ( 2 x 202 ) / 202

= 2 / 202

= 2

So, Greatest Common Divisor of 428, 398, 238, 202 is 2

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Given numbers are 428, 398, 238, 202
The greatest common divisor of numbers 428, 398, 238, 202 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 428, 398, 238, 202 is 2.

1. What is the GCD of 428, 398, 238, 202?

GCD of given numbers 428, 398, 238, 202 is 2

2. How to calculate the greatest common divisor of 428, 398, 238, 202?

We can find the highest common divisor of 428, 398, 238, 202 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 428, 398, 238, 202 i.e 2.

3. How can I use the GCD of 428, 398, 238, 202Calculator?

Out the numbers 428, 398, 238, 202 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.