GCD of 114, 981, 825 Calculator

Given Input numbers are 114, 981, 825

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

Divisors of 114 :

The positive integer divisors of 114 that completely divides 114 are.

1, 2, 3, 6, 19, 38, 57, 114

Divisors of 981 :

The positive integer divisors of 981 that completely divides 981 are.

1, 3, 9, 109, 327, 981

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 (114, 981, 825) = 3.

Given numbers are 114, 981, 825

The list of prime factors of all numbers are

Prime factors of 114 are 2 x 3 x 19

Prime factors of 981 are 3 x 3 x 109

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

The highest common occurrence is 3¹

Therefore, GCD of 114, 981, 825 is 3.

Given numbers are 114, 981, 825

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

Apply this formula for all numbers.

Step1:

LCM(114, 981) = 37278

GCD(114, 981) = ( 114 x 981 ) / 37278

= 114 / 981

= 114

Step2:

LCM(3, 825) = 825

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

= 3 / 825

= 3

So, Greatest Common Divisor of 114, 981, 825 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 262, 924, 835
• GCD of 924, 552, 602
• GCD of 934, 523, 929
• GCD of 648, 327, 382
• GCD of 846, 312, 977

Given numbers are 114, 981, 825
The greatest common divisor of numbers 114, 981, 825 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 114, 981, 825 is 3.

1. What is the GCD of 114, 981, 825?

GCD of given numbers 114, 981, 825 is 3

2. How to calculate the greatest common divisor of 114, 981, 825?

We can find the highest common divisor of 114, 981, 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 114, 981, 825 i.e 3.

3. How can I use the GCD of 114, 981, 825Calculator?

Out the numbers 114, 981, 825 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.