GCD of 238, 109, 874 Calculator

Given Input numbers are 238, 109, 874

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 109 :

The positive integer divisors of 109 that completely divides 109 are.

1, 109

Divisors of 874 :

The positive integer divisors of 874 that completely divides 874 are.

1, 2, 19, 23, 38, 46, 437, 874

GCD of numbers is the greatest common divisor

So, the GCD (238, 109, 874) = 1.

Given numbers are 238, 109, 874

The list of prime factors of all numbers are

Prime factors of 238 are 2 x 7 x 17

Prime factors of 109 are 109

Prime factors of 874 are 2 x 19 x 23

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

Given numbers are 238, 109, 874

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

Apply this formula for all numbers.

Step1:

LCM(238, 109) = 25942

GCD(238, 109) = ( 238 x 109 ) / 25942

= 238 / 109

= 238

Step2:

LCM(1, 874) = 874

GCD(1, 874) = ( 1 x 874 ) / 874

= 1 / 874

= 1

So, Greatest Common Divisor of 238, 109, 874 is 1

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Given numbers are 238, 109, 874
The greatest common divisor of numbers 238, 109, 874 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 238, 109, 874 is 1.

1. What is the GCD of 238, 109, 874?

GCD of given numbers 238, 109, 874 is 1

2. How to calculate the greatest common divisor of 238, 109, 874?

We can find the highest common divisor of 238, 109, 874 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, 109, 874 i.e 1.

3. How can I use the GCD of 238, 109, 874Calculator?

Out the numbers 238, 109, 874 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.