Online GCD Calculator is useful to find the GCD of 687, 169, 900, 721 quickly. Get the easiest ways to solve the greatest common divisor of 687, 169, 900, 721 i.e 1 in different methods as follows.
Given Input numbers are 687, 169, 900, 721
In the factoring method, we have to find the divisors of all numbers
Divisors of 687 :
The positive integer divisors of 687 that completely divides 687 are.
1, 3, 229, 687
Divisors of 169 :
The positive integer divisors of 169 that completely divides 169 are.
1, 13, 169
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 721 :
The positive integer divisors of 721 that completely divides 721 are.
1, 7, 103, 721
GCD of numbers is the greatest common divisor
So, the GCD (687, 169, 900, 721) = 1.
Given numbers are 687, 169, 900, 721
The list of prime factors of all numbers are
Prime factors of 687 are 3 x 229
Prime factors of 169 are 13 x 13
Prime factors of 900 are 2 x 2 x 3 x 3 x 5 x 5
Prime factors of 721 are 7 x 103
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 687, 169, 900, 721
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(687, 169) = 116103
GCD(687, 169) = ( 687 x 169 ) / 116103
= 687 / 169
= 687
Step2:
LCM(1, 900) = 900
GCD(1, 900) = ( 1 x 900 ) / 900
= 1 / 900
= 1
Step3:
LCM(1, 721) = 721
GCD(1, 721) = ( 1 x 721 ) / 721
= 1 / 721
= 1
So, Greatest Common Divisor of 687, 169, 900, 721 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 687, 169, 900, 721
The greatest common divisor of numbers 687, 169, 900, 721 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 687, 169, 900, 721 is 1.
1. What is the GCD of 687, 169, 900, 721?
GCD of given numbers 687, 169, 900, 721 is 1
2. How to calculate the greatest common divisor of 687, 169, 900, 721?
We can find the highest common divisor of 687, 169, 900, 721 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 687, 169, 900, 721 i.e 1.
3. How can I use the GCD of 687, 169, 900, 721Calculator?
Out the numbers 687, 169, 900, 721 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.