GCD of 852, 874, 216, 726 Calculator

Given Input numbers are 852, 874, 216, 726

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

Divisors of 852 :

The positive integer divisors of 852 that completely divides 852 are.

1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

Divisors of 874 :

The positive integer divisors of 874 that completely divides 874 are.

1, 2, 19, 23, 38, 46, 437, 874

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 726 :

The positive integer divisors of 726 that completely divides 726 are.

1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

GCD of numbers is the greatest common divisor

So, the GCD (852, 874, 216, 726) = 2.

Given numbers are 852, 874, 216, 726

The list of prime factors of all numbers are

Prime factors of 852 are 2 x 2 x 3 x 71

Prime factors of 874 are 2 x 19 x 23

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

Prime factors of 726 are 2 x 3 x 11 x 11

The highest common occurrence is 2¹

Therefore, GCD of 852, 874, 216, 726 is 2.

Given numbers are 852, 874, 216, 726

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

Apply this formula for all numbers.

Step1:

LCM(852, 874) = 372324

GCD(852, 874) = ( 852 x 874 ) / 372324

= 852 / 874

= 852

Step2:

LCM(2, 216) = 216

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

= 2 / 216

= 2

Step3:

LCM(2, 726) = 726

GCD(2, 726) = ( 2 x 726 ) / 726

= 2 / 726

= 2

So, Greatest Common Divisor of 852, 874, 216, 726 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 159, 167, 402, 420
• GCD of 669, 585, 471, 887
• GCD of 352, 802, 179, 491
• GCD of 838, 974, 419, 735
• GCD of 603, 606, 653, 577

Given numbers are 852, 874, 216, 726
The greatest common divisor of numbers 852, 874, 216, 726 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 852, 874, 216, 726 is 2.

1. What is the GCD of 852, 874, 216, 726?

GCD of given numbers 852, 874, 216, 726 is 2

2. How to calculate the greatest common divisor of 852, 874, 216, 726?

We can find the highest common divisor of 852, 874, 216, 726 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 852, 874, 216, 726 i.e 2.

3. How can I use the GCD of 852, 874, 216, 726Calculator?

Out the numbers 852, 874, 216, 726 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.