GCD of 800, 753, 637, 214 Calculator

Given Input numbers are 800, 753, 637, 214

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 753 :

The positive integer divisors of 753 that completely divides 753 are.

1, 3, 251, 753

Divisors of 637 :

The positive integer divisors of 637 that completely divides 637 are.

1, 7, 13, 49, 91, 637

Divisors of 214 :

The positive integer divisors of 214 that completely divides 214 are.

1, 2, 107, 214

GCD of numbers is the greatest common divisor

So, the GCD (800, 753, 637, 214) = 1.

Given numbers are 800, 753, 637, 214

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 753 are 3 x 251

Prime factors of 637 are 7 x 7 x 13

Prime factors of 214 are 2 x 107

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

Given numbers are 800, 753, 637, 214

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

Apply this formula for all numbers.

Step1:

LCM(800, 753) = 602400

GCD(800, 753) = ( 800 x 753 ) / 602400

= 800 / 753

= 800

Step2:

LCM(1, 637) = 637

GCD(1, 637) = ( 1 x 637 ) / 637

= 1 / 637

= 1

Step3:

LCM(1, 214) = 214

GCD(1, 214) = ( 1 x 214 ) / 214

= 1 / 214

= 1

So, Greatest Common Divisor of 800, 753, 637, 214 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 350, 334, 354, 162
• GCD of 190, 883, 947, 244
• GCD of 368, 166, 563, 225
• GCD of 241, 813, 172, 141
• GCD of 796, 828, 744, 481

Given numbers are 800, 753, 637, 214
The greatest common divisor of numbers 800, 753, 637, 214 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 800, 753, 637, 214 is 1.

1. What is the GCD of 800, 753, 637, 214?

GCD of given numbers 800, 753, 637, 214 is 1

2. How to calculate the greatest common divisor of 800, 753, 637, 214?

We can find the highest common divisor of 800, 753, 637, 214 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, 753, 637, 214 i.e 1.

3. How can I use the GCD of 800, 753, 637, 214Calculator?

Out the numbers 800, 753, 637, 214 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.