Online GCD Calculator is useful to find the GCD of 825, 187, 281, 676 quickly. Get the easiest ways to solve the greatest common divisor of 825, 187, 281, 676 i.e 1 in different methods as follows.
Given Input numbers are 825, 187, 281, 676
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 187 :
The positive integer divisors of 187 that completely divides 187 are.
1, 11, 17, 187
Divisors of 281 :
The positive integer divisors of 281 that completely divides 281 are.
1, 281
Divisors of 676 :
The positive integer divisors of 676 that completely divides 676 are.
1, 2, 4, 13, 26, 52, 169, 338, 676
GCD of numbers is the greatest common divisor
So, the GCD (825, 187, 281, 676) = 1.
Given numbers are 825, 187, 281, 676
The list of prime factors of all numbers are
Prime factors of 825 are 3 x 5 x 5 x 11
Prime factors of 187 are 11 x 17
Prime factors of 281 are 281
Prime factors of 676 are 2 x 2 x 13 x 13
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 825, 187, 281, 676
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(825, 187) = 14025
GCD(825, 187) = ( 825 x 187 ) / 14025
= 825 / 187
= 825
Step2:
LCM(11, 281) = 3091
GCD(11, 281) = ( 11 x 281 ) / 3091
= 11 / 281
= 11
Step3:
LCM(1, 676) = 676
GCD(1, 676) = ( 1 x 676 ) / 676
= 1 / 676
= 1
So, Greatest Common Divisor of 825, 187, 281, 676 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 825, 187, 281, 676
The greatest common divisor of numbers 825, 187, 281, 676 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 825, 187, 281, 676 is 1.
1. What is the GCD of 825, 187, 281, 676?
GCD of given numbers 825, 187, 281, 676 is 1
2. How to calculate the greatest common divisor of 825, 187, 281, 676?
We can find the highest common divisor of 825, 187, 281, 676 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, 187, 281, 676 i.e 1.
3. How can I use the GCD of 825, 187, 281, 676Calculator?
Out the numbers 825, 187, 281, 676 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.