GCD of 816, 850, 414, 676 Calculator

Given Input numbers are 816, 850, 414, 676

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

Divisors of 816 :

The positive integer divisors of 816 that completely divides 816 are.

1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

Divisors of 850 :

The positive integer divisors of 850 that completely divides 850 are.

1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850

Divisors of 414 :

The positive integer divisors of 414 that completely divides 414 are.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

Divisors of 676 :

The positive integer divisors of 676 that completely divides 676 are.

1, 2, 4, 13, 26, 52, 169, 338, 676

GCD of numbers is the greatest common divisor

So, the GCD (816, 850, 414, 676) = 2.

Given numbers are 816, 850, 414, 676

The list of prime factors of all numbers are

Prime factors of 816 are 2 x 2 x 2 x 2 x 3 x 17

Prime factors of 850 are 2 x 5 x 5 x 17

Prime factors of 414 are 2 x 3 x 3 x 23

Prime factors of 676 are 2 x 2 x 13 x 13

The highest common occurrence is 2¹

Therefore, GCD of 816, 850, 414, 676 is 2.

Given numbers are 816, 850, 414, 676

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

Apply this formula for all numbers.

Step1:

LCM(816, 850) = 20400

GCD(816, 850) = ( 816 x 850 ) / 20400

= 816 / 850

= 816

Step2:

LCM(34, 414) = 7038

GCD(34, 414) = ( 34 x 414 ) / 7038

= 34 / 414

= 34

Step3:

LCM(2, 676) = 676

GCD(2, 676) = ( 2 x 676 ) / 676

= 2 / 676

= 2

So, Greatest Common Divisor of 816, 850, 414, 676 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 770, 454, 688, 292
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Given numbers are 816, 850, 414, 676
The greatest common divisor of numbers 816, 850, 414, 676 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 816, 850, 414, 676 is 2.

1. What is the GCD of 816, 850, 414, 676?

GCD of given numbers 816, 850, 414, 676 is 2

2. How to calculate the greatest common divisor of 816, 850, 414, 676?

We can find the highest common divisor of 816, 850, 414, 676 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 816, 850, 414, 676 i.e 2.

3. How can I use the GCD of 816, 850, 414, 676Calculator?

Out the numbers 816, 850, 414, 676 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.