GCD of 960, 814, 509, 349 Calculator

Given Input numbers are 960, 814, 509, 349

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

Divisors of 960 :

The positive integer divisors of 960 that completely divides 960 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

Divisors of 814 :

The positive integer divisors of 814 that completely divides 814 are.

1, 2, 11, 22, 37, 74, 407, 814

Divisors of 509 :

The positive integer divisors of 509 that completely divides 509 are.

1, 509

Divisors of 349 :

The positive integer divisors of 349 that completely divides 349 are.

1, 349

GCD of numbers is the greatest common divisor

So, the GCD (960, 814, 509, 349) = 1.

Given numbers are 960, 814, 509, 349

The list of prime factors of all numbers are

Prime factors of 960 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 814 are 2 x 11 x 37

Prime factors of 509 are 509

Prime factors of 349 are 349

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

Given numbers are 960, 814, 509, 349

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

Apply this formula for all numbers.

Step1:

LCM(960, 814) = 390720

GCD(960, 814) = ( 960 x 814 ) / 390720

= 960 / 814

= 960

Step2:

LCM(2, 509) = 1018

GCD(2, 509) = ( 2 x 509 ) / 1018

= 2 / 509

= 2

Step3:

LCM(1, 349) = 349

GCD(1, 349) = ( 1 x 349 ) / 349

= 1 / 349

= 1

So, Greatest Common Divisor of 960, 814, 509, 349 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 281, 861, 202, 788
• GCD of 517, 205, 801, 822
• GCD of 575, 864, 303, 622
• GCD of 957, 134, 873, 607
• GCD of 414, 241, 183, 589

Given numbers are 960, 814, 509, 349
The greatest common divisor of numbers 960, 814, 509, 349 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 960, 814, 509, 349 is 1.

1. What is the GCD of 960, 814, 509, 349?

GCD of given numbers 960, 814, 509, 349 is 1

2. How to calculate the greatest common divisor of 960, 814, 509, 349?

We can find the highest common divisor of 960, 814, 509, 349 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 960, 814, 509, 349 i.e 1.

3. How can I use the GCD of 960, 814, 509, 349Calculator?

Out the numbers 960, 814, 509, 349 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.