GCD of 957, 171, 51, 825 Calculator

Given Input numbers are 957, 171, 51, 825

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

Divisors of 957 :

The positive integer divisors of 957 that completely divides 957 are.

1, 3, 11, 29, 33, 87, 319, 957

Divisors of 171 :

The positive integer divisors of 171 that completely divides 171 are.

1, 3, 9, 19, 57, 171

Divisors of 51 :

The positive integer divisors of 51 that completely divides 51 are.

1, 3, 17, 51

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 (957, 171, 51, 825) = 3.

Given numbers are 957, 171, 51, 825

The list of prime factors of all numbers are

Prime factors of 957 are 3 x 11 x 29

Prime factors of 171 are 3 x 3 x 19

Prime factors of 51 are 3 x 17

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

The highest common occurrence is 3¹

Therefore, GCD of 957, 171, 51, 825 is 3.

Given numbers are 957, 171, 51, 825

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

Apply this formula for all numbers.

Step1:

LCM(957, 171) = 54549

GCD(957, 171) = ( 957 x 171 ) / 54549

= 957 / 171

= 957

Step2:

LCM(3, 51) = 51

GCD(3, 51) = ( 3 x 51 ) / 51

= 3 / 51

= 3

Step3:

LCM(3, 825) = 825

GCD(3, 825) = ( 3 x 825 ) / 825

= 3 / 825

= 3

So, Greatest Common Divisor of 957, 171, 51, 825 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 632, 989, 73, 767
• GCD of 547, 889, 47, 453
• GCD of 678, 250, 20, 806
• GCD of 589, 577, 26, 780
• GCD of 823, 239, 99, 280

Given numbers are 957, 171, 51, 825
The greatest common divisor of numbers 957, 171, 51, 825 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 957, 171, 51, 825 is 3.

1. What is the GCD of 957, 171, 51, 825?

GCD of given numbers 957, 171, 51, 825 is 3

2. How to calculate the greatest common divisor of 957, 171, 51, 825?

We can find the highest common divisor of 957, 171, 51, 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 957, 171, 51, 825 i.e 3.

3. How can I use the GCD of 957, 171, 51, 825Calculator?

Out the numbers 957, 171, 51, 825 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.