GCD of 724, 378, 170, 852 Calculator

Given Input numbers are 724, 378, 170, 852

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

Divisors of 724 :

The positive integer divisors of 724 that completely divides 724 are.

1, 2, 4, 181, 362, 724

Divisors of 378 :

The positive integer divisors of 378 that completely divides 378 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

Divisors of 170 :

The positive integer divisors of 170 that completely divides 170 are.

1, 2, 5, 10, 17, 34, 85, 170

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

GCD of numbers is the greatest common divisor

So, the GCD (724, 378, 170, 852) = 2.

Given numbers are 724, 378, 170, 852

The list of prime factors of all numbers are

Prime factors of 724 are 2 x 2 x 181

Prime factors of 378 are 2 x 3 x 3 x 3 x 7

Prime factors of 170 are 2 x 5 x 17

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

The highest common occurrence is 2¹

Therefore, GCD of 724, 378, 170, 852 is 2.

Given numbers are 724, 378, 170, 852

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

Apply this formula for all numbers.

Step1:

LCM(724, 378) = 136836

GCD(724, 378) = ( 724 x 378 ) / 136836

= 724 / 378

= 724

Step2:

LCM(2, 170) = 170

GCD(2, 170) = ( 2 x 170 ) / 170

= 2 / 170

= 2

Step3:

LCM(2, 852) = 852

GCD(2, 852) = ( 2 x 852 ) / 852

= 2 / 852

= 2

So, Greatest Common Divisor of 724, 378, 170, 852 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 913, 964, 698, 387
• GCD of 343, 262, 645, 838
• GCD of 817, 420, 973, 516
• GCD of 422, 568, 209, 125
• GCD of 380, 351, 516, 816

Given numbers are 724, 378, 170, 852
The greatest common divisor of numbers 724, 378, 170, 852 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 724, 378, 170, 852 is 2.

1. What is the GCD of 724, 378, 170, 852?

GCD of given numbers 724, 378, 170, 852 is 2

2. How to calculate the greatest common divisor of 724, 378, 170, 852?

We can find the highest common divisor of 724, 378, 170, 852 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 724, 378, 170, 852 i.e 2.

3. How can I use the GCD of 724, 378, 170, 852Calculator?

Out the numbers 724, 378, 170, 852 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.