Online GCD Calculator is useful to find the GCD of 138, 253, 251, 400 quickly. Get the easiest ways to solve the greatest common divisor of 138, 253, 251, 400 i.e 1 in different methods as follows.
Given Input numbers are 138, 253, 251, 400
In the factoring method, we have to find the divisors of all numbers
Divisors of 138 :
The positive integer divisors of 138 that completely divides 138 are.
1, 2, 3, 6, 23, 46, 69, 138
Divisors of 253 :
The positive integer divisors of 253 that completely divides 253 are.
1, 11, 23, 253
Divisors of 251 :
The positive integer divisors of 251 that completely divides 251 are.
1, 251
Divisors of 400 :
The positive integer divisors of 400 that completely divides 400 are.
1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
GCD of numbers is the greatest common divisor
So, the GCD (138, 253, 251, 400) = 1.
Given numbers are 138, 253, 251, 400
The list of prime factors of all numbers are
Prime factors of 138 are 2 x 3 x 23
Prime factors of 253 are 11 x 23
Prime factors of 251 are 251
Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 138, 253, 251, 400
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(138, 253) = 1518
GCD(138, 253) = ( 138 x 253 ) / 1518
= 138 / 253
= 138
Step2:
LCM(23, 251) = 5773
GCD(23, 251) = ( 23 x 251 ) / 5773
= 23 / 251
= 23
Step3:
LCM(1, 400) = 400
GCD(1, 400) = ( 1 x 400 ) / 400
= 1 / 400
= 1
So, Greatest Common Divisor of 138, 253, 251, 400 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 138, 253, 251, 400
The greatest common divisor of numbers 138, 253, 251, 400 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 138, 253, 251, 400 is 1.
1. What is the GCD of 138, 253, 251, 400?
GCD of given numbers 138, 253, 251, 400 is 1
2. How to calculate the greatest common divisor of 138, 253, 251, 400?
We can find the highest common divisor of 138, 253, 251, 400 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 138, 253, 251, 400 i.e 1.
3. How can I use the GCD of 138, 253, 251, 400Calculator?
Out the numbers 138, 253, 251, 400 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.