GCD of 825, 414, 631, 268 Calculator

Given Input numbers are 825, 414, 631, 268

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

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 414 :

The positive integer divisors of 414 that completely divides 414 are.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

Divisors of 631 :

The positive integer divisors of 631 that completely divides 631 are.

1, 631

Divisors of 268 :

The positive integer divisors of 268 that completely divides 268 are.

1, 2, 4, 67, 134, 268

GCD of numbers is the greatest common divisor

So, the GCD (825, 414, 631, 268) = 1.

Given numbers are 825, 414, 631, 268

The list of prime factors of all numbers are

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

Prime factors of 414 are 2 x 3 x 3 x 23

Prime factors of 631 are 631

Prime factors of 268 are 2 x 2 x 67

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

Given numbers are 825, 414, 631, 268

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

Apply this formula for all numbers.

Step1:

LCM(825, 414) = 113850

GCD(825, 414) = ( 825 x 414 ) / 113850

= 825 / 414

= 825

Step2:

LCM(3, 631) = 1893

GCD(3, 631) = ( 3 x 631 ) / 1893

= 3 / 631

= 3

Step3:

LCM(1, 268) = 268

GCD(1, 268) = ( 1 x 268 ) / 268

= 1 / 268

= 1

So, Greatest Common Divisor of 825, 414, 631, 268 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 896, 307, 945, 131
• GCD of 456, 581, 845, 595
• GCD of 616, 925, 145, 438
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Given numbers are 825, 414, 631, 268
The greatest common divisor of numbers 825, 414, 631, 268 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 825, 414, 631, 268 is 1.

1. What is the GCD of 825, 414, 631, 268?

GCD of given numbers 825, 414, 631, 268 is 1

2. How to calculate the greatest common divisor of 825, 414, 631, 268?

We can find the highest common divisor of 825, 414, 631, 268 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 825, 414, 631, 268 i.e 1.

3. How can I use the GCD of 825, 414, 631, 268Calculator?

Out the numbers 825, 414, 631, 268 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.