GCD of 852, 754, 600, 224 Calculator

Given Input numbers are 852, 754, 600, 224

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 754 :

The positive integer divisors of 754 that completely divides 754 are.

1, 2, 13, 26, 29, 58, 377, 754

Divisors of 600 :

The positive integer divisors of 600 that completely divides 600 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

Divisors of 224 :

The positive integer divisors of 224 that completely divides 224 are.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

GCD of numbers is the greatest common divisor

So, the GCD (852, 754, 600, 224) = 2.

Given numbers are 852, 754, 600, 224

The list of prime factors of all numbers are

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

Prime factors of 754 are 2 x 13 x 29

Prime factors of 600 are 2 x 2 x 2 x 3 x 5 x 5

Prime factors of 224 are 2 x 2 x 2 x 2 x 2 x 7

The highest common occurrence is 2¹

Therefore, GCD of 852, 754, 600, 224 is 2.

Given numbers are 852, 754, 600, 224

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

Apply this formula for all numbers.

Step1:

LCM(852, 754) = 321204

GCD(852, 754) = ( 852 x 754 ) / 321204

= 852 / 754

= 852

Step2:

LCM(2, 600) = 600

GCD(2, 600) = ( 2 x 600 ) / 600

= 2 / 600

= 2

Step3:

LCM(2, 224) = 224

GCD(2, 224) = ( 2 x 224 ) / 224

= 2 / 224

= 2

So, Greatest Common Divisor of 852, 754, 600, 224 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 620, 392, 677, 341
• GCD of 810, 590, 134, 717
• GCD of 420, 789, 727, 634
• GCD of 342, 195, 389, 291
• GCD of 832, 916, 151, 756

Given numbers are 852, 754, 600, 224
The greatest common divisor of numbers 852, 754, 600, 224 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 852, 754, 600, 224 is 2.

1. What is the GCD of 852, 754, 600, 224?

GCD of given numbers 852, 754, 600, 224 is 2

2. How to calculate the greatest common divisor of 852, 754, 600, 224?

We can find the highest common divisor of 852, 754, 600, 224 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, 754, 600, 224 i.e 2.

3. How can I use the GCD of 852, 754, 600, 224Calculator?

Out the numbers 852, 754, 600, 224 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.