GCD of 800, 253, 967, 314 Calculator

Given Input numbers are 800, 253, 967, 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 253 :

The positive integer divisors of 253 that completely divides 253 are.

1, 11, 23, 253

Divisors of 967 :

The positive integer divisors of 967 that completely divides 967 are.

1, 967

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, 253, 967, 314) = 1.

Given numbers are 800, 253, 967, 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 253 are 11 x 23

Prime factors of 967 are 967

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, 253, 967, 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, 253) = 202400

GCD(800, 253) = ( 800 x 253 ) / 202400

= 800 / 253

= 800

Step2:

LCM(1, 967) = 967

GCD(1, 967) = ( 1 x 967 ) / 967

= 1 / 967

= 1

Step3:

LCM(1, 314) = 314

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

= 1 / 314

= 1

So, Greatest Common Divisor of 800, 253, 967, 314 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 298, 446, 349, 782
• GCD of 120, 118, 385, 883
• GCD of 525, 483, 429, 227
• GCD of 719, 331, 624, 113
• GCD of 783, 174, 209, 422

Given numbers are 800, 253, 967, 314
The greatest common divisor of numbers 800, 253, 967, 314 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 800, 253, 967, 314 is 1.

1. What is the GCD of 800, 253, 967, 314?

GCD of given numbers 800, 253, 967, 314 is 1

2. How to calculate the greatest common divisor of 800, 253, 967, 314?

We can find the highest common divisor of 800, 253, 967, 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, 253, 967, 314 i.e 1.

3. How can I use the GCD of 800, 253, 967, 314Calculator?

Out the numbers 800, 253, 967, 314 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.