GCD of 892, 652, 216, 682 Calculator

Given Input numbers are 892, 652, 216, 682

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

Divisors of 892 :

The positive integer divisors of 892 that completely divides 892 are.

1, 2, 4, 223, 446, 892

Divisors of 652 :

The positive integer divisors of 652 that completely divides 652 are.

1, 2, 4, 163, 326, 652

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

Divisors of 682 :

The positive integer divisors of 682 that completely divides 682 are.

1, 2, 11, 22, 31, 62, 341, 682

GCD of numbers is the greatest common divisor

So, the GCD (892, 652, 216, 682) = 2.

Given numbers are 892, 652, 216, 682

The list of prime factors of all numbers are

Prime factors of 892 are 2 x 2 x 223

Prime factors of 652 are 2 x 2 x 163

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

Prime factors of 682 are 2 x 11 x 31

The highest common occurrence is 2¹

Therefore, GCD of 892, 652, 216, 682 is 2.

Given numbers are 892, 652, 216, 682

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

Apply this formula for all numbers.

Step1:

LCM(892, 652) = 145396

GCD(892, 652) = ( 892 x 652 ) / 145396

= 892 / 652

= 892

Step2:

LCM(4, 216) = 216

GCD(4, 216) = ( 4 x 216 ) / 216

= 4 / 216

= 4

Step3:

LCM(4, 682) = 1364

GCD(4, 682) = ( 4 x 682 ) / 1364

= 4 / 682

= 4

So, Greatest Common Divisor of 892, 652, 216, 682 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 645, 356, 648, 264
• GCD of 189, 409, 812, 984
• GCD of 110, 196, 842, 161
• GCD of 245, 157, 869, 249
• GCD of 648, 450, 377, 574

Given numbers are 892, 652, 216, 682
The greatest common divisor of numbers 892, 652, 216, 682 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 892, 652, 216, 682 is 2.

1. What is the GCD of 892, 652, 216, 682?

GCD of given numbers 892, 652, 216, 682 is 2

2. How to calculate the greatest common divisor of 892, 652, 216, 682?

We can find the highest common divisor of 892, 652, 216, 682 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 892, 652, 216, 682 i.e 2.

3. How can I use the GCD of 892, 652, 216, 682Calculator?

Out the numbers 892, 652, 216, 682 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.