GCD of 705, 799, 810, 428 Calculator

Given Input numbers are 705, 799, 810, 428

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

Divisors of 705 :

The positive integer divisors of 705 that completely divides 705 are.

1, 3, 5, 15, 47, 141, 235, 705

Divisors of 799 :

The positive integer divisors of 799 that completely divides 799 are.

1, 17, 47, 799

Divisors of 810 :

The positive integer divisors of 810 that completely divides 810 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810

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 (705, 799, 810, 428) = 1.

Given numbers are 705, 799, 810, 428

The list of prime factors of all numbers are

Prime factors of 705 are 3 x 5 x 47

Prime factors of 799 are 17 x 47

Prime factors of 810 are 2 x 3 x 3 x 3 x 3 x 5

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 705, 799, 810, 428

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

Apply this formula for all numbers.

Step1:

LCM(705, 799) = 11985

GCD(705, 799) = ( 705 x 799 ) / 11985

= 705 / 799

= 705

Step2:

LCM(47, 810) = 38070

GCD(47, 810) = ( 47 x 810 ) / 38070

= 47 / 810

= 47

Step3:

LCM(1, 428) = 428

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

= 1 / 428

= 1

So, Greatest Common Divisor of 705, 799, 810, 428 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 976, 653, 201, 296
• GCD of 830, 951, 687, 866
• GCD of 372, 812, 295, 182
• GCD of 988, 133, 666, 881
• GCD of 198, 711, 968, 520

Given numbers are 705, 799, 810, 428
The greatest common divisor of numbers 705, 799, 810, 428 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 705, 799, 810, 428 is 1.

1. What is the GCD of 705, 799, 810, 428?

GCD of given numbers 705, 799, 810, 428 is 1

2. How to calculate the greatest common divisor of 705, 799, 810, 428?

We can find the highest common divisor of 705, 799, 810, 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 705, 799, 810, 428 i.e 1.

3. How can I use the GCD of 705, 799, 810, 428Calculator?

Out the numbers 705, 799, 810, 428 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.