GCD of 238, 466, 342, 758 Calculator

Given Input numbers are 238, 466, 342, 758

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 466 :

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

1, 2, 233, 466

Divisors of 342 :

The positive integer divisors of 342 that completely divides 342 are.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Divisors of 758 :

The positive integer divisors of 758 that completely divides 758 are.

1, 2, 379, 758

GCD of numbers is the greatest common divisor

So, the GCD (238, 466, 342, 758) = 2.

Given numbers are 238, 466, 342, 758

The list of prime factors of all numbers are

Prime factors of 238 are 2 x 7 x 17

Prime factors of 466 are 2 x 233

Prime factors of 342 are 2 x 3 x 3 x 19

Prime factors of 758 are 2 x 379

The highest common occurrence is 2¹

Therefore, GCD of 238, 466, 342, 758 is 2.

Given numbers are 238, 466, 342, 758

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

Apply this formula for all numbers.

Step1:

LCM(238, 466) = 55454

GCD(238, 466) = ( 238 x 466 ) / 55454

= 238 / 466

= 238

Step2:

LCM(2, 342) = 342

GCD(2, 342) = ( 2 x 342 ) / 342

= 2 / 342

= 2

Step3:

LCM(2, 758) = 758

GCD(2, 758) = ( 2 x 758 ) / 758

= 2 / 758

= 2

So, Greatest Common Divisor of 238, 466, 342, 758 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 889, 286, 781, 325
• GCD of 868, 505, 994, 218
• GCD of 498, 837, 937, 893
• GCD of 276, 576, 633, 720
• GCD of 529, 504, 466, 151

Given numbers are 238, 466, 342, 758
The greatest common divisor of numbers 238, 466, 342, 758 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 238, 466, 342, 758 is 2.

1. What is the GCD of 238, 466, 342, 758?

GCD of given numbers 238, 466, 342, 758 is 2

2. How to calculate the greatest common divisor of 238, 466, 342, 758?

We can find the highest common divisor of 238, 466, 342, 758 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, 466, 342, 758 i.e 2.

3. How can I use the GCD of 238, 466, 342, 758Calculator?

Out the numbers 238, 466, 342, 758 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.