GCD of 350, 114, 872, 822 Calculator

Given Input numbers are 350, 114, 872, 822

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

Divisors of 350 :

The positive integer divisors of 350 that completely divides 350 are.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

Divisors of 114 :

The positive integer divisors of 114 that completely divides 114 are.

1, 2, 3, 6, 19, 38, 57, 114

Divisors of 872 :

The positive integer divisors of 872 that completely divides 872 are.

1, 2, 4, 8, 109, 218, 436, 872

Divisors of 822 :

The positive integer divisors of 822 that completely divides 822 are.

1, 2, 3, 6, 137, 274, 411, 822

GCD of numbers is the greatest common divisor

So, the GCD (350, 114, 872, 822) = 2.

Given numbers are 350, 114, 872, 822

The list of prime factors of all numbers are

Prime factors of 350 are 2 x 5 x 5 x 7

Prime factors of 114 are 2 x 3 x 19

Prime factors of 872 are 2 x 2 x 2 x 109

Prime factors of 822 are 2 x 3 x 137

The highest common occurrence is 2¹

Therefore, GCD of 350, 114, 872, 822 is 2.

Given numbers are 350, 114, 872, 822

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

Apply this formula for all numbers.

Step1:

LCM(350, 114) = 19950

GCD(350, 114) = ( 350 x 114 ) / 19950

= 350 / 114

= 350

Step2:

LCM(2, 872) = 872

GCD(2, 872) = ( 2 x 872 ) / 872

= 2 / 872

= 2

Step3:

LCM(2, 822) = 822

GCD(2, 822) = ( 2 x 822 ) / 822

= 2 / 822

= 2

So, Greatest Common Divisor of 350, 114, 872, 822 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 188, 402, 227, 270
• GCD of 627, 375, 767, 522
• GCD of 714, 318, 208, 152
• GCD of 199, 944, 623, 816
• GCD of 811, 725, 344, 790

Given numbers are 350, 114, 872, 822
The greatest common divisor of numbers 350, 114, 872, 822 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 350, 114, 872, 822 is 2.

1. What is the GCD of 350, 114, 872, 822?

GCD of given numbers 350, 114, 872, 822 is 2

2. How to calculate the greatest common divisor of 350, 114, 872, 822?

We can find the highest common divisor of 350, 114, 872, 822 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 350, 114, 872, 822 i.e 2.

3. How can I use the GCD of 350, 114, 872, 822Calculator?

Out the numbers 350, 114, 872, 822 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.