GCD of 360, 914, 565, 347 Calculator

Given Input numbers are 360, 914, 565, 347

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

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 914 :

The positive integer divisors of 914 that completely divides 914 are.

1, 2, 457, 914

Divisors of 565 :

The positive integer divisors of 565 that completely divides 565 are.

1, 5, 113, 565

Divisors of 347 :

The positive integer divisors of 347 that completely divides 347 are.

1, 347

GCD of numbers is the greatest common divisor

So, the GCD (360, 914, 565, 347) = 1.

Given numbers are 360, 914, 565, 347

The list of prime factors of all numbers are

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

Prime factors of 914 are 2 x 457

Prime factors of 565 are 5 x 113

Prime factors of 347 are 347

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

Given numbers are 360, 914, 565, 347

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

Apply this formula for all numbers.

Step1:

LCM(360, 914) = 164520

GCD(360, 914) = ( 360 x 914 ) / 164520

= 360 / 914

= 360

Step2:

LCM(2, 565) = 1130

GCD(2, 565) = ( 2 x 565 ) / 1130

= 2 / 565

= 2

Step3:

LCM(1, 347) = 347

GCD(1, 347) = ( 1 x 347 ) / 347

= 1 / 347

= 1

So, Greatest Common Divisor of 360, 914, 565, 347 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 586, 531, 717, 715
• GCD of 182, 216, 514, 207
• GCD of 144, 707, 105, 471
• GCD of 261, 859, 597, 975
• GCD of 766, 857, 752, 165

Given numbers are 360, 914, 565, 347
The greatest common divisor of numbers 360, 914, 565, 347 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 360, 914, 565, 347 is 1.

1. What is the GCD of 360, 914, 565, 347?

GCD of given numbers 360, 914, 565, 347 is 1

2. How to calculate the greatest common divisor of 360, 914, 565, 347?

We can find the highest common divisor of 360, 914, 565, 347 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 360, 914, 565, 347 i.e 1.

3. How can I use the GCD of 360, 914, 565, 347Calculator?

Out the numbers 360, 914, 565, 347 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.