GCD of 802, 200, 916 Calculator

Given Input numbers are 802, 200, 916

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

Divisors of 802 :

The positive integer divisors of 802 that completely divides 802 are.

1, 2, 401, 802

Divisors of 200 :

The positive integer divisors of 200 that completely divides 200 are.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

Divisors of 916 :

The positive integer divisors of 916 that completely divides 916 are.

1, 2, 4, 229, 458, 916

GCD of numbers is the greatest common divisor

So, the GCD (802, 200, 916) = 2.

Given numbers are 802, 200, 916

The list of prime factors of all numbers are

Prime factors of 802 are 2 x 401

Prime factors of 200 are 2 x 2 x 2 x 5 x 5

Prime factors of 916 are 2 x 2 x 229

The highest common occurrence is 2¹

Therefore, GCD of 802, 200, 916 is 2.

Given numbers are 802, 200, 916

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

Apply this formula for all numbers.

Step1:

LCM(802, 200) = 80200

GCD(802, 200) = ( 802 x 200 ) / 80200

= 802 / 200

= 802

Step2:

LCM(2, 916) = 916

GCD(2, 916) = ( 2 x 916 ) / 916

= 2 / 916

= 2

So, Greatest Common Divisor of 802, 200, 916 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 154, 940, 684
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Given numbers are 802, 200, 916
The greatest common divisor of numbers 802, 200, 916 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 802, 200, 916 is 2.

1. What is the GCD of 802, 200, 916?

GCD of given numbers 802, 200, 916 is 2

2. How to calculate the greatest common divisor of 802, 200, 916?

We can find the highest common divisor of 802, 200, 916 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 802, 200, 916 i.e 2.

3. How can I use the GCD of 802, 200, 916Calculator?

Out the numbers 802, 200, 916 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.