Online GCD Calculator is useful to find the GCD of 153, 972, 403, 720 quickly. Get the easiest ways to solve the greatest common divisor of 153, 972, 403, 720 i.e 1 in different methods as follows.
Given Input numbers are 153, 972, 403, 720
In the factoring method, we have to find the divisors of all numbers
Divisors of 153 :
The positive integer divisors of 153 that completely divides 153 are.
1, 3, 9, 17, 51, 153
Divisors of 972 :
The positive integer divisors of 972 that completely divides 972 are.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
Divisors of 403 :
The positive integer divisors of 403 that completely divides 403 are.
1, 13, 31, 403
Divisors of 720 :
The positive integer divisors of 720 that completely divides 720 are.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720
GCD of numbers is the greatest common divisor
So, the GCD (153, 972, 403, 720) = 1.
Given numbers are 153, 972, 403, 720
The list of prime factors of all numbers are
Prime factors of 153 are 3 x 3 x 17
Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3
Prime factors of 403 are 13 x 31
Prime factors of 720 are 2 x 2 x 2 x 2 x 3 x 3 x 5
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 153, 972, 403, 720
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(153, 972) = 16524
GCD(153, 972) = ( 153 x 972 ) / 16524
= 153 / 972
= 153
Step2:
LCM(9, 403) = 3627
GCD(9, 403) = ( 9 x 403 ) / 3627
= 9 / 403
= 9
Step3:
LCM(1, 720) = 720
GCD(1, 720) = ( 1 x 720 ) / 720
= 1 / 720
= 1
So, Greatest Common Divisor of 153, 972, 403, 720 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 153, 972, 403, 720
The greatest common divisor of numbers 153, 972, 403, 720 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 153, 972, 403, 720 is 1.
1. What is the GCD of 153, 972, 403, 720?
GCD of given numbers 153, 972, 403, 720 is 1
2. How to calculate the greatest common divisor of 153, 972, 403, 720?
We can find the highest common divisor of 153, 972, 403, 720 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 153, 972, 403, 720 i.e 1.
3. How can I use the GCD of 153, 972, 403, 720Calculator?
Out the numbers 153, 972, 403, 720 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.