Online GCD Calculator is useful to find the GCD of 796, 450, 161, 972 quickly. Get the easiest ways to solve the greatest common divisor of 796, 450, 161, 972 i.e 1 in different methods as follows.
Given Input numbers are 796, 450, 161, 972
In the factoring method, we have to find the divisors of all numbers
Divisors of 796 :
The positive integer divisors of 796 that completely divides 796 are.
1, 2, 4, 199, 398, 796
Divisors of 450 :
The positive integer divisors of 450 that completely divides 450 are.
1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450
Divisors of 161 :
The positive integer divisors of 161 that completely divides 161 are.
1, 7, 23, 161
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
GCD of numbers is the greatest common divisor
So, the GCD (796, 450, 161, 972) = 1.
Given numbers are 796, 450, 161, 972
The list of prime factors of all numbers are
Prime factors of 796 are 2 x 2 x 199
Prime factors of 450 are 2 x 3 x 3 x 5 x 5
Prime factors of 161 are 7 x 23
Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 796, 450, 161, 972
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(796, 450) = 179100
GCD(796, 450) = ( 796 x 450 ) / 179100
= 796 / 450
= 796
Step2:
LCM(2, 161) = 322
GCD(2, 161) = ( 2 x 161 ) / 322
= 2 / 161
= 2
Step3:
LCM(1, 972) = 972
GCD(1, 972) = ( 1 x 972 ) / 972
= 1 / 972
= 1
So, Greatest Common Divisor of 796, 450, 161, 972 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 796, 450, 161, 972
The greatest common divisor of numbers 796, 450, 161, 972 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 796, 450, 161, 972 is 1.
1. What is the GCD of 796, 450, 161, 972?
GCD of given numbers 796, 450, 161, 972 is 1
2. How to calculate the greatest common divisor of 796, 450, 161, 972?
We can find the highest common divisor of 796, 450, 161, 972 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 796, 450, 161, 972 i.e 1.
3. How can I use the GCD of 796, 450, 161, 972Calculator?
Out the numbers 796, 450, 161, 972 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.