GCD of 828, 870, 238, 946 Calculator

Given Input numbers are 828, 870, 238, 946

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

Divisors of 828 :

The positive integer divisors of 828 that completely divides 828 are.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

Divisors of 870 :

The positive integer divisors of 870 that completely divides 870 are.

1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

Divisors of 238 :

The positive integer divisors of 238 that completely divides 238 are.

1, 2, 7, 14, 17, 34, 119, 238

Divisors of 946 :

The positive integer divisors of 946 that completely divides 946 are.

1, 2, 11, 22, 43, 86, 473, 946

GCD of numbers is the greatest common divisor

So, the GCD (828, 870, 238, 946) = 2.

Given numbers are 828, 870, 238, 946

The list of prime factors of all numbers are

Prime factors of 828 are 2 x 2 x 3 x 3 x 23

Prime factors of 870 are 2 x 3 x 5 x 29

Prime factors of 238 are 2 x 7 x 17

Prime factors of 946 are 2 x 11 x 43

The highest common occurrence is 2¹

Therefore, GCD of 828, 870, 238, 946 is 2.

Given numbers are 828, 870, 238, 946

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

Apply this formula for all numbers.

Step1:

LCM(828, 870) = 120060

GCD(828, 870) = ( 828 x 870 ) / 120060

= 828 / 870

= 828

Step2:

LCM(6, 238) = 714

GCD(6, 238) = ( 6 x 238 ) / 714

= 6 / 238

= 6

Step3:

LCM(2, 946) = 946

GCD(2, 946) = ( 2 x 946 ) / 946

= 2 / 946

= 2

So, Greatest Common Divisor of 828, 870, 238, 946 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 706, 177, 792, 510
• GCD of 707, 618, 346, 629
• GCD of 259, 542, 547, 909
• GCD of 623, 551, 510, 495
• GCD of 999, 669, 282, 998

Given numbers are 828, 870, 238, 946
The greatest common divisor of numbers 828, 870, 238, 946 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 828, 870, 238, 946 is 2.

1. What is the GCD of 828, 870, 238, 946?

GCD of given numbers 828, 870, 238, 946 is 2

2. How to calculate the greatest common divisor of 828, 870, 238, 946?

We can find the highest common divisor of 828, 870, 238, 946 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 828, 870, 238, 946 i.e 2.

3. How can I use the GCD of 828, 870, 238, 946Calculator?

Out the numbers 828, 870, 238, 946 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.