Online GCD Calculator is useful to find the GCD of 825, 426, 141, 412 quickly. Get the easiest ways to solve the greatest common divisor of 825, 426, 141, 412 i.e 1 in different methods as follows.
Given Input numbers are 825, 426, 141, 412
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 426 :
The positive integer divisors of 426 that completely divides 426 are.
1, 2, 3, 6, 71, 142, 213, 426
Divisors of 141 :
The positive integer divisors of 141 that completely divides 141 are.
1, 3, 47, 141
Divisors of 412 :
The positive integer divisors of 412 that completely divides 412 are.
1, 2, 4, 103, 206, 412
GCD of numbers is the greatest common divisor
So, the GCD (825, 426, 141, 412) = 1.
Given numbers are 825, 426, 141, 412
The list of prime factors of all numbers are
Prime factors of 825 are 3 x 5 x 5 x 11
Prime factors of 426 are 2 x 3 x 71
Prime factors of 141 are 3 x 47
Prime factors of 412 are 2 x 2 x 103
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 825, 426, 141, 412
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(825, 426) = 117150
GCD(825, 426) = ( 825 x 426 ) / 117150
= 825 / 426
= 825
Step2:
LCM(3, 141) = 141
GCD(3, 141) = ( 3 x 141 ) / 141
= 3 / 141
= 3
Step3:
LCM(3, 412) = 1236
GCD(3, 412) = ( 3 x 412 ) / 1236
= 3 / 412
= 3
So, Greatest Common Divisor of 825, 426, 141, 412 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 825, 426, 141, 412
The greatest common divisor of numbers 825, 426, 141, 412 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 825, 426, 141, 412 is 1.
1. What is the GCD of 825, 426, 141, 412?
GCD of given numbers 825, 426, 141, 412 is 1
2. How to calculate the greatest common divisor of 825, 426, 141, 412?
We can find the highest common divisor of 825, 426, 141, 412 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, 426, 141, 412 i.e 1.
3. How can I use the GCD of 825, 426, 141, 412Calculator?
Out the numbers 825, 426, 141, 412 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.