Online GCD Calculator is useful to find the GCD of 426, 169, 444, 900 quickly. Get the easiest ways to solve the greatest common divisor of 426, 169, 444, 900 i.e 1 in different methods as follows.
Given Input numbers are 426, 169, 444, 900
In the factoring method, we have to find the divisors of all numbers
Divisors of 426 :
The positive integer divisors of 426 that completely divides 426 are.
1, 2, 3, 6, 71, 142, 213, 426
Divisors of 169 :
The positive integer divisors of 169 that completely divides 169 are.
1, 13, 169
Divisors of 444 :
The positive integer divisors of 444 that completely divides 444 are.
1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444
Divisors of 900 :
The positive integer divisors of 900 that completely divides 900 are.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900
GCD of numbers is the greatest common divisor
So, the GCD (426, 169, 444, 900) = 1.
Given numbers are 426, 169, 444, 900
The list of prime factors of all numbers are
Prime factors of 426 are 2 x 3 x 71
Prime factors of 169 are 13 x 13
Prime factors of 444 are 2 x 2 x 3 x 37
Prime factors of 900 are 2 x 2 x 3 x 3 x 5 x 5
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 426, 169, 444, 900
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(426, 169) = 71994
GCD(426, 169) = ( 426 x 169 ) / 71994
= 426 / 169
= 426
Step2:
LCM(1, 444) = 444
GCD(1, 444) = ( 1 x 444 ) / 444
= 1 / 444
= 1
Step3:
LCM(1, 900) = 900
GCD(1, 900) = ( 1 x 900 ) / 900
= 1 / 900
= 1
So, Greatest Common Divisor of 426, 169, 444, 900 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 426, 169, 444, 900
The greatest common divisor of numbers 426, 169, 444, 900 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 426, 169, 444, 900 is 1.
1. What is the GCD of 426, 169, 444, 900?
GCD of given numbers 426, 169, 444, 900 is 1
2. How to calculate the greatest common divisor of 426, 169, 444, 900?
We can find the highest common divisor of 426, 169, 444, 900 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 426, 169, 444, 900 i.e 1.
3. How can I use the GCD of 426, 169, 444, 900Calculator?
Out the numbers 426, 169, 444, 900 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.