Online GCD Calculator is useful to find the GCD of 365, 342, 677, 900 quickly. Get the easiest ways to solve the greatest common divisor of 365, 342, 677, 900 i.e 1 in different methods as follows.
Given Input numbers are 365, 342, 677, 900
In the factoring method, we have to find the divisors of all numbers
Divisors of 365 :
The positive integer divisors of 365 that completely divides 365 are.
1, 5, 73, 365
Divisors of 342 :
The positive integer divisors of 342 that completely divides 342 are.
1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
Divisors of 677 :
The positive integer divisors of 677 that completely divides 677 are.
1, 677
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 (365, 342, 677, 900) = 1.
Given numbers are 365, 342, 677, 900
The list of prime factors of all numbers are
Prime factors of 365 are 5 x 73
Prime factors of 342 are 2 x 3 x 3 x 19
Prime factors of 677 are 677
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 365, 342, 677, 900
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(365, 342) = 124830
GCD(365, 342) = ( 365 x 342 ) / 124830
= 365 / 342
= 365
Step2:
LCM(1, 677) = 677
GCD(1, 677) = ( 1 x 677 ) / 677
= 1 / 677
= 1
Step3:
LCM(1, 900) = 900
GCD(1, 900) = ( 1 x 900 ) / 900
= 1 / 900
= 1
So, Greatest Common Divisor of 365, 342, 677, 900 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 365, 342, 677, 900
The greatest common divisor of numbers 365, 342, 677, 900 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 365, 342, 677, 900 is 1.
1. What is the GCD of 365, 342, 677, 900?
GCD of given numbers 365, 342, 677, 900 is 1
2. How to calculate the greatest common divisor of 365, 342, 677, 900?
We can find the highest common divisor of 365, 342, 677, 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 365, 342, 677, 900 i.e 1.
3. How can I use the GCD of 365, 342, 677, 900Calculator?
Out the numbers 365, 342, 677, 900 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.