GCD of 814, 976, 64, 360 Calculator

Given Input numbers are 814, 976, 64, 360

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

Divisors of 814 :

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

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

Divisors of 976 :

The positive integer divisors of 976 that completely divides 976 are.

1, 2, 4, 8, 16, 61, 122, 244, 488, 976

Divisors of 64 :

The positive integer divisors of 64 that completely divides 64 are.

1, 2, 4, 8, 16, 32, 64

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

GCD of numbers is the greatest common divisor

So, the GCD (814, 976, 64, 360) = 2.

Given numbers are 814, 976, 64, 360

The list of prime factors of all numbers are

Prime factors of 814 are 2 x 11 x 37

Prime factors of 976 are 2 x 2 x 2 x 2 x 61

Prime factors of 64 are 2 x 2 x 2 x 2 x 2 x 2

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

The highest common occurrence is 2¹

Therefore, GCD of 814, 976, 64, 360 is 2.

Given numbers are 814, 976, 64, 360

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

Apply this formula for all numbers.

Step1:

LCM(814, 976) = 397232

GCD(814, 976) = ( 814 x 976 ) / 397232

= 814 / 976

= 814

Step2:

LCM(2, 64) = 64

GCD(2, 64) = ( 2 x 64 ) / 64

= 2 / 64

= 2

Step3:

LCM(2, 360) = 360

GCD(2, 360) = ( 2 x 360 ) / 360

= 2 / 360

= 2

So, Greatest Common Divisor of 814, 976, 64, 360 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 195, 927, 20, 392
• GCD of 195, 254, 35, 335
• GCD of 613, 385, 28, 850
• GCD of 669, 558, 50, 747
• GCD of 298, 970, 31, 536

Given numbers are 814, 976, 64, 360
The greatest common divisor of numbers 814, 976, 64, 360 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 814, 976, 64, 360 is 2.

1. What is the GCD of 814, 976, 64, 360?

GCD of given numbers 814, 976, 64, 360 is 2

2. How to calculate the greatest common divisor of 814, 976, 64, 360?

We can find the highest common divisor of 814, 976, 64, 360 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 814, 976, 64, 360 i.e 2.

3. How can I use the GCD of 814, 976, 64, 360Calculator?

Out the numbers 814, 976, 64, 360 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.