GCD of 852, 472, 146, 900 Calculator

Given Input numbers are 852, 472, 146, 900

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 472 :

The positive integer divisors of 472 that completely divides 472 are.

1, 2, 4, 8, 59, 118, 236, 472

Divisors of 146 :

The positive integer divisors of 146 that completely divides 146 are.

1, 2, 73, 146

Divisors of 900 :

The positive integer divisors of 900 that completely divides 900 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

GCD of numbers is the greatest common divisor

So, the GCD (852, 472, 146, 900) = 2.

Given numbers are 852, 472, 146, 900

The list of prime factors of all numbers are

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

Prime factors of 472 are 2 x 2 x 2 x 59

Prime factors of 146 are 2 x 73

Prime factors of 900 are 2 x 2 x 3 x 3 x 5 x 5

The highest common occurrence is 2¹

Therefore, GCD of 852, 472, 146, 900 is 2.

Given numbers are 852, 472, 146, 900

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

Apply this formula for all numbers.

Step1:

LCM(852, 472) = 100536

GCD(852, 472) = ( 852 x 472 ) / 100536

= 852 / 472

= 852

Step2:

LCM(4, 146) = 292

GCD(4, 146) = ( 4 x 146 ) / 292

= 4 / 146

= 4

Step3:

LCM(2, 900) = 900

GCD(2, 900) = ( 2 x 900 ) / 900

= 2 / 900

= 2

So, Greatest Common Divisor of 852, 472, 146, 900 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 514, 239, 737, 638
• GCD of 634, 564, 464, 108
• GCD of 463, 462, 606, 461
• GCD of 608, 579, 828, 165
• GCD of 633, 602, 763, 222

Given numbers are 852, 472, 146, 900
The greatest common divisor of numbers 852, 472, 146, 900 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 852, 472, 146, 900 is 2.

1. What is the GCD of 852, 472, 146, 900?

GCD of given numbers 852, 472, 146, 900 is 2

2. How to calculate the greatest common divisor of 852, 472, 146, 900?

We can find the highest common divisor of 852, 472, 146, 900 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, 472, 146, 900 i.e 2.

3. How can I use the GCD of 852, 472, 146, 900Calculator?

Out the numbers 852, 472, 146, 900 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.