GCD of 800, 758, 477, 314 Calculator

Given Input numbers are 800, 758, 477, 314

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

Divisors of 800 :

The positive integer divisors of 800 that completely divides 800 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

Divisors of 758 :

The positive integer divisors of 758 that completely divides 758 are.

1, 2, 379, 758

Divisors of 477 :

The positive integer divisors of 477 that completely divides 477 are.

1, 3, 9, 53, 159, 477

Divisors of 314 :

The positive integer divisors of 314 that completely divides 314 are.

1, 2, 157, 314

GCD of numbers is the greatest common divisor

So, the GCD (800, 758, 477, 314) = 1.

Given numbers are 800, 758, 477, 314

The list of prime factors of all numbers are

Prime factors of 800 are 2 x 2 x 2 x 2 x 2 x 5 x 5

Prime factors of 758 are 2 x 379

Prime factors of 477 are 3 x 3 x 53

Prime factors of 314 are 2 x 157

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

Given numbers are 800, 758, 477, 314

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

Apply this formula for all numbers.

Step1:

LCM(800, 758) = 303200

GCD(800, 758) = ( 800 x 758 ) / 303200

= 800 / 758

= 800

Step2:

LCM(2, 477) = 954

GCD(2, 477) = ( 2 x 477 ) / 954

= 2 / 477

= 2

Step3:

LCM(1, 314) = 314

GCD(1, 314) = ( 1 x 314 ) / 314

= 1 / 314

= 1

So, Greatest Common Divisor of 800, 758, 477, 314 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 987, 229, 824, 378
• GCD of 658, 856, 157, 508
• GCD of 274, 653, 306, 627
• GCD of 935, 805, 789, 214
• GCD of 200, 636, 882, 649

Given numbers are 800, 758, 477, 314
The greatest common divisor of numbers 800, 758, 477, 314 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 800, 758, 477, 314 is 1.

1. What is the GCD of 800, 758, 477, 314?

GCD of given numbers 800, 758, 477, 314 is 1

2. How to calculate the greatest common divisor of 800, 758, 477, 314?

We can find the highest common divisor of 800, 758, 477, 314 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 800, 758, 477, 314 i.e 1.

3. How can I use the GCD of 800, 758, 477, 314Calculator?

Out the numbers 800, 758, 477, 314 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.