GCD of 416, 420, 946, 216 Calculator

Given Input numbers are 416, 420, 946, 216

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

Divisors of 416 :

The positive integer divisors of 416 that completely divides 416 are.

1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

Divisors of 420 :

The positive integer divisors of 420 that completely divides 420 are.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Divisors of 946 :

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

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

Divisors of 216 :

The positive integer divisors of 216 that completely divides 216 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

GCD of numbers is the greatest common divisor

So, the GCD (416, 420, 946, 216) = 2.

Given numbers are 416, 420, 946, 216

The list of prime factors of all numbers are

Prime factors of 416 are 2 x 2 x 2 x 2 x 2 x 13

Prime factors of 420 are 2 x 2 x 3 x 5 x 7

Prime factors of 946 are 2 x 11 x 43

Prime factors of 216 are 2 x 2 x 2 x 3 x 3 x 3

The highest common occurrence is 2¹

Therefore, GCD of 416, 420, 946, 216 is 2.

Given numbers are 416, 420, 946, 216

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

Apply this formula for all numbers.

Step1:

LCM(416, 420) = 43680

GCD(416, 420) = ( 416 x 420 ) / 43680

= 416 / 420

= 416

Step2:

LCM(4, 946) = 1892

GCD(4, 946) = ( 4 x 946 ) / 1892

= 4 / 946

= 4

Step3:

LCM(2, 216) = 216

GCD(2, 216) = ( 2 x 216 ) / 216

= 2 / 216

= 2

So, Greatest Common Divisor of 416, 420, 946, 216 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 246, 411, 383, 370
• GCD of 447, 299, 957, 846
• GCD of 504, 399, 259, 725
• GCD of 722, 816, 821, 871
• GCD of 483, 694, 827, 246

Given numbers are 416, 420, 946, 216
The greatest common divisor of numbers 416, 420, 946, 216 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 416, 420, 946, 216 is 2.

1. What is the GCD of 416, 420, 946, 216?

GCD of given numbers 416, 420, 946, 216 is 2

2. How to calculate the greatest common divisor of 416, 420, 946, 216?

We can find the highest common divisor of 416, 420, 946, 216 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 416, 420, 946, 216 i.e 2.

3. How can I use the GCD of 416, 420, 946, 216Calculator?

Out the numbers 416, 420, 946, 216 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.