GCD of 705, 584, 344, 159 Calculator

Given Input numbers are 705, 584, 344, 159

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

Divisors of 705 :

The positive integer divisors of 705 that completely divides 705 are.

1, 3, 5, 15, 47, 141, 235, 705

Divisors of 584 :

The positive integer divisors of 584 that completely divides 584 are.

1, 2, 4, 8, 73, 146, 292, 584

Divisors of 344 :

The positive integer divisors of 344 that completely divides 344 are.

1, 2, 4, 8, 43, 86, 172, 344

Divisors of 159 :

The positive integer divisors of 159 that completely divides 159 are.

1, 3, 53, 159

GCD of numbers is the greatest common divisor

So, the GCD (705, 584, 344, 159) = 1.

Given numbers are 705, 584, 344, 159

The list of prime factors of all numbers are

Prime factors of 705 are 3 x 5 x 47

Prime factors of 584 are 2 x 2 x 2 x 73

Prime factors of 344 are 2 x 2 x 2 x 43

Prime factors of 159 are 3 x 53

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

Given numbers are 705, 584, 344, 159

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

Apply this formula for all numbers.

Step1:

LCM(705, 584) = 411720

GCD(705, 584) = ( 705 x 584 ) / 411720

= 705 / 584

= 705

Step2:

LCM(1, 344) = 344

GCD(1, 344) = ( 1 x 344 ) / 344

= 1 / 344

= 1

Step3:

LCM(1, 159) = 159

GCD(1, 159) = ( 1 x 159 ) / 159

= 1 / 159

= 1

So, Greatest Common Divisor of 705, 584, 344, 159 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 443, 519, 180, 391
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Given numbers are 705, 584, 344, 159
The greatest common divisor of numbers 705, 584, 344, 159 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 705, 584, 344, 159 is 1.

1. What is the GCD of 705, 584, 344, 159?

GCD of given numbers 705, 584, 344, 159 is 1

2. How to calculate the greatest common divisor of 705, 584, 344, 159?

We can find the highest common divisor of 705, 584, 344, 159 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 705, 584, 344, 159 i.e 1.

3. How can I use the GCD of 705, 584, 344, 159Calculator?

Out the numbers 705, 584, 344, 159 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.