Online GCD Calculator is useful to find the GCD of 900, 351, 557, 138 quickly. Get the easiest ways to solve the greatest common divisor of 900, 351, 557, 138 i.e 1 in different methods as follows.
Given Input numbers are 900, 351, 557, 138
In the factoring method, we have to find the divisors of all numbers
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
Divisors of 351 :
The positive integer divisors of 351 that completely divides 351 are.
1, 3, 9, 13, 27, 39, 117, 351
Divisors of 557 :
The positive integer divisors of 557 that completely divides 557 are.
1, 557
Divisors of 138 :
The positive integer divisors of 138 that completely divides 138 are.
1, 2, 3, 6, 23, 46, 69, 138
GCD of numbers is the greatest common divisor
So, the GCD (900, 351, 557, 138) = 1.
Given numbers are 900, 351, 557, 138
The list of prime factors of all numbers are
Prime factors of 900 are 2 x 2 x 3 x 3 x 5 x 5
Prime factors of 351 are 3 x 3 x 3 x 13
Prime factors of 557 are 557
Prime factors of 138 are 2 x 3 x 23
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 900, 351, 557, 138
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(900, 351) = 35100
GCD(900, 351) = ( 900 x 351 ) / 35100
= 900 / 351
= 900
Step2:
LCM(9, 557) = 5013
GCD(9, 557) = ( 9 x 557 ) / 5013
= 9 / 557
= 9
Step3:
LCM(1, 138) = 138
GCD(1, 138) = ( 1 x 138 ) / 138
= 1 / 138
= 1
So, Greatest Common Divisor of 900, 351, 557, 138 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 900, 351, 557, 138
The greatest common divisor of numbers 900, 351, 557, 138 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 900, 351, 557, 138 is 1.
1. What is the GCD of 900, 351, 557, 138?
GCD of given numbers 900, 351, 557, 138 is 1
2. How to calculate the greatest common divisor of 900, 351, 557, 138?
We can find the highest common divisor of 900, 351, 557, 138 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 900, 351, 557, 138 i.e 1.
3. How can I use the GCD of 900, 351, 557, 138Calculator?
Out the numbers 900, 351, 557, 138 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.