GCD of 319, 800, 343, 428 Calculator

Given Input numbers are 319, 800, 343, 428

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

Divisors of 319 :

The positive integer divisors of 319 that completely divides 319 are.

1, 11, 29, 319

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 343 :

The positive integer divisors of 343 that completely divides 343 are.

1, 7, 49, 343

Divisors of 428 :

The positive integer divisors of 428 that completely divides 428 are.

1, 2, 4, 107, 214, 428

GCD of numbers is the greatest common divisor

So, the GCD (319, 800, 343, 428) = 1.

Given numbers are 319, 800, 343, 428

The list of prime factors of all numbers are

Prime factors of 319 are 11 x 29

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

Prime factors of 343 are 7 x 7 x 7

Prime factors of 428 are 2 x 2 x 107

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

Given numbers are 319, 800, 343, 428

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

Apply this formula for all numbers.

Step1:

LCM(319, 800) = 255200

GCD(319, 800) = ( 319 x 800 ) / 255200

= 319 / 800

= 319

Step2:

LCM(1, 343) = 343

GCD(1, 343) = ( 1 x 343 ) / 343

= 1 / 343

= 1

Step3:

LCM(1, 428) = 428

GCD(1, 428) = ( 1 x 428 ) / 428

= 1 / 428

= 1

So, Greatest Common Divisor of 319, 800, 343, 428 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 305, 112, 222, 456
• GCD of 362, 966, 462, 170
• GCD of 225, 340, 509, 659
• GCD of 969, 714, 803, 848
• GCD of 954, 322, 167, 944

Given numbers are 319, 800, 343, 428
The greatest common divisor of numbers 319, 800, 343, 428 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 319, 800, 343, 428 is 1.

1. What is the GCD of 319, 800, 343, 428?

GCD of given numbers 319, 800, 343, 428 is 1

2. How to calculate the greatest common divisor of 319, 800, 343, 428?

We can find the highest common divisor of 319, 800, 343, 428 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 319, 800, 343, 428 i.e 1.

3. How can I use the GCD of 319, 800, 343, 428Calculator?

Out the numbers 319, 800, 343, 428 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.