GCD of 238, 658, 466, 270 Calculator

Given Input numbers are 238, 658, 466, 270

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

Divisors of 238 :

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

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

Divisors of 658 :

The positive integer divisors of 658 that completely divides 658 are.

1, 2, 7, 14, 47, 94, 329, 658

Divisors of 466 :

The positive integer divisors of 466 that completely divides 466 are.

1, 2, 233, 466

Divisors of 270 :

The positive integer divisors of 270 that completely divides 270 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

GCD of numbers is the greatest common divisor

So, the GCD (238, 658, 466, 270) = 2.

Given numbers are 238, 658, 466, 270

The list of prime factors of all numbers are

Prime factors of 238 are 2 x 7 x 17

Prime factors of 658 are 2 x 7 x 47

Prime factors of 466 are 2 x 233

Prime factors of 270 are 2 x 3 x 3 x 3 x 5

The highest common occurrence is 2¹

Therefore, GCD of 238, 658, 466, 270 is 2.

Given numbers are 238, 658, 466, 270

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

Apply this formula for all numbers.

Step1:

LCM(238, 658) = 11186

GCD(238, 658) = ( 238 x 658 ) / 11186

= 238 / 658

= 238

Step2:

LCM(14, 466) = 3262

GCD(14, 466) = ( 14 x 466 ) / 3262

= 14 / 466

= 14

Step3:

LCM(2, 270) = 270

GCD(2, 270) = ( 2 x 270 ) / 270

= 2 / 270

= 2

So, Greatest Common Divisor of 238, 658, 466, 270 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 189, 903, 860, 357
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• GCD of 681, 763, 826, 557
• GCD of 507, 961, 637, 108
• GCD of 367, 970, 259, 311

Given numbers are 238, 658, 466, 270
The greatest common divisor of numbers 238, 658, 466, 270 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 238, 658, 466, 270 is 2.

1. What is the GCD of 238, 658, 466, 270?

GCD of given numbers 238, 658, 466, 270 is 2

2. How to calculate the greatest common divisor of 238, 658, 466, 270?

We can find the highest common divisor of 238, 658, 466, 270 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 238, 658, 466, 270 i.e 2.

3. How can I use the GCD of 238, 658, 466, 270Calculator?

Out the numbers 238, 658, 466, 270 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.