GCD of 734, 360, 105, 239 Calculator

Given Input numbers are 734, 360, 105, 239

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

Divisors of 734 :

The positive integer divisors of 734 that completely divides 734 are.

1, 2, 367, 734

Divisors of 360 :

The positive integer divisors of 360 that completely divides 360 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 105 :

The positive integer divisors of 105 that completely divides 105 are.

1, 3, 5, 7, 15, 21, 35, 105

Divisors of 239 :

The positive integer divisors of 239 that completely divides 239 are.

1, 239

GCD of numbers is the greatest common divisor

So, the GCD (734, 360, 105, 239) = 1.

Given numbers are 734, 360, 105, 239

The list of prime factors of all numbers are

Prime factors of 734 are 2 x 367

Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 105 are 3 x 5 x 7

Prime factors of 239 are 239

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

Given numbers are 734, 360, 105, 239

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

Apply this formula for all numbers.

Step1:

LCM(734, 360) = 132120

GCD(734, 360) = ( 734 x 360 ) / 132120

= 734 / 360

= 734

Step2:

LCM(2, 105) = 210

GCD(2, 105) = ( 2 x 105 ) / 210

= 2 / 105

= 2

Step3:

LCM(1, 239) = 239

GCD(1, 239) = ( 1 x 239 ) / 239

= 1 / 239

= 1

So, Greatest Common Divisor of 734, 360, 105, 239 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 520, 869, 420, 390
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Given numbers are 734, 360, 105, 239
The greatest common divisor of numbers 734, 360, 105, 239 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 734, 360, 105, 239 is 1.

1. What is the GCD of 734, 360, 105, 239?

GCD of given numbers 734, 360, 105, 239 is 1

2. How to calculate the greatest common divisor of 734, 360, 105, 239?

We can find the highest common divisor of 734, 360, 105, 239 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 734, 360, 105, 239 i.e 1.

3. How can I use the GCD of 734, 360, 105, 239Calculator?

Out the numbers 734, 360, 105, 239 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.