GCD of 272, 826, 825, 989 Calculator

Given Input numbers are 272, 826, 825, 989

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

Divisors of 272 :

The positive integer divisors of 272 that completely divides 272 are.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272

Divisors of 826 :

The positive integer divisors of 826 that completely divides 826 are.

1, 2, 7, 14, 59, 118, 413, 826

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 989 :

The positive integer divisors of 989 that completely divides 989 are.

1, 23, 43, 989

GCD of numbers is the greatest common divisor

So, the GCD (272, 826, 825, 989) = 1.

Given numbers are 272, 826, 825, 989

The list of prime factors of all numbers are

Prime factors of 272 are 2 x 2 x 2 x 2 x 17

Prime factors of 826 are 2 x 7 x 59

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

Prime factors of 989 are 23 x 43

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

Given numbers are 272, 826, 825, 989

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

Apply this formula for all numbers.

Step1:

LCM(272, 826) = 112336

GCD(272, 826) = ( 272 x 826 ) / 112336

= 272 / 826

= 272

Step2:

LCM(2, 825) = 1650

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

= 2 / 825

= 2

Step3:

LCM(1, 989) = 989

GCD(1, 989) = ( 1 x 989 ) / 989

= 1 / 989

= 1

So, Greatest Common Divisor of 272, 826, 825, 989 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 516, 768, 951, 787
• GCD of 510, 467, 338, 356
• GCD of 396, 317, 473, 624
• GCD of 134, 730, 583, 302
• GCD of 433, 172, 922, 807

Given numbers are 272, 826, 825, 989
The greatest common divisor of numbers 272, 826, 825, 989 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 272, 826, 825, 989 is 1.

1. What is the GCD of 272, 826, 825, 989?

GCD of given numbers 272, 826, 825, 989 is 1

2. How to calculate the greatest common divisor of 272, 826, 825, 989?

We can find the highest common divisor of 272, 826, 825, 989 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 272, 826, 825, 989 i.e 1.

3. How can I use the GCD of 272, 826, 825, 989Calculator?

Out the numbers 272, 826, 825, 989 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.