Online GCD Calculator is useful to find the GCD of 133, 343, 177, 400 quickly. Get the easiest ways to solve the greatest common divisor of 133, 343, 177, 400 i.e 1 in different methods as follows.
Given Input numbers are 133, 343, 177, 400
In the factoring method, we have to find the divisors of all numbers
Divisors of 133 :
The positive integer divisors of 133 that completely divides 133 are.
1, 7, 19, 133
Divisors of 343 :
The positive integer divisors of 343 that completely divides 343 are.
1, 7, 49, 343
Divisors of 177 :
The positive integer divisors of 177 that completely divides 177 are.
1, 3, 59, 177
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 (133, 343, 177, 400) = 1.
Given numbers are 133, 343, 177, 400
The list of prime factors of all numbers are
Prime factors of 133 are 7 x 19
Prime factors of 343 are 7 x 7 x 7
Prime factors of 177 are 3 x 59
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 133, 343, 177, 400
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(133, 343) = 6517
GCD(133, 343) = ( 133 x 343 ) / 6517
= 133 / 343
= 133
Step2:
LCM(7, 177) = 1239
GCD(7, 177) = ( 7 x 177 ) / 1239
= 7 / 177
= 7
Step3:
LCM(1, 400) = 400
GCD(1, 400) = ( 1 x 400 ) / 400
= 1 / 400
= 1
So, Greatest Common Divisor of 133, 343, 177, 400 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 133, 343, 177, 400
The greatest common divisor of numbers 133, 343, 177, 400 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 133, 343, 177, 400 is 1.
1. What is the GCD of 133, 343, 177, 400?
GCD of given numbers 133, 343, 177, 400 is 1
2. How to calculate the greatest common divisor of 133, 343, 177, 400?
We can find the highest common divisor of 133, 343, 177, 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 133, 343, 177, 400 i.e 1.
3. How can I use the GCD of 133, 343, 177, 400Calculator?
Out the numbers 133, 343, 177, 400 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.