GCD of 442, 617, 825, 114 Calculator

Given Input numbers are 442, 617, 825, 114

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

Divisors of 442 :

The positive integer divisors of 442 that completely divides 442 are.

1, 2, 13, 17, 26, 34, 221, 442

Divisors of 617 :

The positive integer divisors of 617 that completely divides 617 are.

1, 617

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

Divisors of 114 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (442, 617, 825, 114) = 1.

Given numbers are 442, 617, 825, 114

The list of prime factors of all numbers are

Prime factors of 442 are 2 x 13 x 17

Prime factors of 617 are 617

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

Prime factors of 114 are 2 x 3 x 19

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

Given numbers are 442, 617, 825, 114

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

Apply this formula for all numbers.

Step1:

LCM(442, 617) = 272714

GCD(442, 617) = ( 442 x 617 ) / 272714

= 442 / 617

= 442

Step2:

LCM(1, 825) = 825

GCD(1, 825) = ( 1 x 825 ) / 825

= 1 / 825

= 1

Step3:

LCM(1, 114) = 114

GCD(1, 114) = ( 1 x 114 ) / 114

= 1 / 114

= 1

So, Greatest Common Divisor of 442, 617, 825, 114 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 703, 902, 514, 265
• GCD of 126, 241, 812, 710
• GCD of 387, 967, 365, 431
• GCD of 293, 666, 547, 792
• GCD of 996, 528, 866, 865

Given numbers are 442, 617, 825, 114
The greatest common divisor of numbers 442, 617, 825, 114 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 442, 617, 825, 114 is 1.

1. What is the GCD of 442, 617, 825, 114?

GCD of given numbers 442, 617, 825, 114 is 1

2. How to calculate the greatest common divisor of 442, 617, 825, 114?

We can find the highest common divisor of 442, 617, 825, 114 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 442, 617, 825, 114 i.e 1.

3. How can I use the GCD of 442, 617, 825, 114Calculator?

Out the numbers 442, 617, 825, 114 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.