GCD of 852, 634, 472, 914 Calculator

Given Input numbers are 852, 634, 472, 914

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 634 :

The positive integer divisors of 634 that completely divides 634 are.

1, 2, 317, 634

Divisors of 472 :

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

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

Divisors of 914 :

The positive integer divisors of 914 that completely divides 914 are.

1, 2, 457, 914

GCD of numbers is the greatest common divisor

So, the GCD (852, 634, 472, 914) = 2.

Given numbers are 852, 634, 472, 914

The list of prime factors of all numbers are

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

Prime factors of 634 are 2 x 317

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

Prime factors of 914 are 2 x 457

The highest common occurrence is 2¹

Therefore, GCD of 852, 634, 472, 914 is 2.

Given numbers are 852, 634, 472, 914

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

Apply this formula for all numbers.

Step1:

LCM(852, 634) = 270084

GCD(852, 634) = ( 852 x 634 ) / 270084

= 852 / 634

= 852

Step2:

LCM(2, 472) = 472

GCD(2, 472) = ( 2 x 472 ) / 472

= 2 / 472

= 2

Step3:

LCM(2, 914) = 914

GCD(2, 914) = ( 2 x 914 ) / 914

= 2 / 914

= 2

So, Greatest Common Divisor of 852, 634, 472, 914 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 174, 425, 177, 306
• GCD of 432, 505, 503, 186
• GCD of 345, 395, 628, 145
• GCD of 209, 739, 339, 889
• GCD of 357, 807, 660, 599

Given numbers are 852, 634, 472, 914
The greatest common divisor of numbers 852, 634, 472, 914 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 852, 634, 472, 914 is 2.

1. What is the GCD of 852, 634, 472, 914?

GCD of given numbers 852, 634, 472, 914 is 2

2. How to calculate the greatest common divisor of 852, 634, 472, 914?

We can find the highest common divisor of 852, 634, 472, 914 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, 634, 472, 914 i.e 2.

3. How can I use the GCD of 852, 634, 472, 914Calculator?

Out the numbers 852, 634, 472, 914 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.