GCD of 677, 338, 380, 800 Calculator

Given Input numbers are 677, 338, 380, 800

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

Divisors of 677 :

The positive integer divisors of 677 that completely divides 677 are.

1, 677

Divisors of 338 :

The positive integer divisors of 338 that completely divides 338 are.

1, 2, 13, 26, 169, 338

Divisors of 380 :

The positive integer divisors of 380 that completely divides 380 are.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

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

GCD of numbers is the greatest common divisor

So, the GCD (677, 338, 380, 800) = 1.

Given numbers are 677, 338, 380, 800

The list of prime factors of all numbers are

Prime factors of 677 are 677

Prime factors of 338 are 2 x 13 x 13

Prime factors of 380 are 2 x 2 x 5 x 19

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

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

Given numbers are 677, 338, 380, 800

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

Apply this formula for all numbers.

Step1:

LCM(677, 338) = 228826

GCD(677, 338) = ( 677 x 338 ) / 228826

= 677 / 338

= 677

Step2:

LCM(1, 380) = 380

GCD(1, 380) = ( 1 x 380 ) / 380

= 1 / 380

= 1

Step3:

LCM(1, 800) = 800

GCD(1, 800) = ( 1 x 800 ) / 800

= 1 / 800

= 1

So, Greatest Common Divisor of 677, 338, 380, 800 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 898, 947, 751, 463
• GCD of 263, 216, 731, 955
• GCD of 172, 698, 257, 243
• GCD of 188, 159, 677, 529
• GCD of 301, 451, 428, 877

Given numbers are 677, 338, 380, 800
The greatest common divisor of numbers 677, 338, 380, 800 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 677, 338, 380, 800 is 1.

1. What is the GCD of 677, 338, 380, 800?

GCD of given numbers 677, 338, 380, 800 is 1

2. How to calculate the greatest common divisor of 677, 338, 380, 800?

We can find the highest common divisor of 677, 338, 380, 800 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 677, 338, 380, 800 i.e 1.

3. How can I use the GCD of 677, 338, 380, 800Calculator?

Out the numbers 677, 338, 380, 800 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.