GCD of 238, 343, 103, 107 Calculator

Given Input numbers are 238, 343, 103, 107

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 343 :

The positive integer divisors of 343 that completely divides 343 are.

1, 7, 49, 343

Divisors of 103 :

The positive integer divisors of 103 that completely divides 103 are.

1, 103

Divisors of 107 :

The positive integer divisors of 107 that completely divides 107 are.

1, 107

GCD of numbers is the greatest common divisor

So, the GCD (238, 343, 103, 107) = 1.

Given numbers are 238, 343, 103, 107

The list of prime factors of all numbers are

Prime factors of 238 are 2 x 7 x 17

Prime factors of 343 are 7 x 7 x 7

Prime factors of 103 are 103

Prime factors of 107 are 107

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 238, 343, 103, 107

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

Apply this formula for all numbers.

Step1:

LCM(238, 343) = 11662

GCD(238, 343) = ( 238 x 343 ) / 11662

= 238 / 343

= 238

Step2:

LCM(7, 103) = 721

GCD(7, 103) = ( 7 x 103 ) / 721

= 7 / 103

= 7

Step3:

LCM(1, 107) = 107

GCD(1, 107) = ( 1 x 107 ) / 107

= 1 / 107

= 1

So, Greatest Common Divisor of 238, 343, 103, 107 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 493, 533, 265, 285
• GCD of 680, 733, 456, 716
• GCD of 765, 924, 768, 266
• GCD of 470, 850, 375, 859
• GCD of 522, 124, 582, 425

Given numbers are 238, 343, 103, 107
The greatest common divisor of numbers 238, 343, 103, 107 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 238, 343, 103, 107 is 1.

1. What is the GCD of 238, 343, 103, 107?

GCD of given numbers 238, 343, 103, 107 is 1

2. How to calculate the greatest common divisor of 238, 343, 103, 107?

We can find the highest common divisor of 238, 343, 103, 107 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, 343, 103, 107 i.e 1.

3. How can I use the GCD of 238, 343, 103, 107Calculator?

Out the numbers 238, 343, 103, 107 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.