GCD of 852, 564, 254, 825 Calculator

Given Input numbers are 852, 564, 254, 825

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 564 :

The positive integer divisors of 564 that completely divides 564 are.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

Divisors of 254 :

The positive integer divisors of 254 that completely divides 254 are.

1, 2, 127, 254

Divisors of 825 :

The positive integer divisors of 825 that completely divides 825 are.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

GCD of numbers is the greatest common divisor

So, the GCD (852, 564, 254, 825) = 1.

Given numbers are 852, 564, 254, 825

The list of prime factors of all numbers are

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

Prime factors of 564 are 2 x 2 x 3 x 47

Prime factors of 254 are 2 x 127

Prime factors of 825 are 3 x 5 x 5 x 11

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 852, 564, 254, 825

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

Apply this formula for all numbers.

Step1:

LCM(852, 564) = 40044

GCD(852, 564) = ( 852 x 564 ) / 40044

= 852 / 564

= 852

Step2:

LCM(12, 254) = 1524

GCD(12, 254) = ( 12 x 254 ) / 1524

= 12 / 254

= 12

Step3:

LCM(2, 825) = 1650

GCD(2, 825) = ( 2 x 825 ) / 1650

= 2 / 825

= 2

So, Greatest Common Divisor of 852, 564, 254, 825 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 383, 632, 689, 312
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• GCD of 638, 306, 647, 664

Given numbers are 852, 564, 254, 825
The greatest common divisor of numbers 852, 564, 254, 825 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 852, 564, 254, 825 is 1.

1. What is the GCD of 852, 564, 254, 825?

GCD of given numbers 852, 564, 254, 825 is 1

2. How to calculate the greatest common divisor of 852, 564, 254, 825?

We can find the highest common divisor of 852, 564, 254, 825 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, 564, 254, 825 i.e 1.

3. How can I use the GCD of 852, 564, 254, 825Calculator?

Out the numbers 852, 564, 254, 825 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.