Online GCD Calculator is useful to find the GCD of 789, 625, 737, 972 quickly. Get the easiest ways to solve the greatest common divisor of 789, 625, 737, 972 i.e 1 in different methods as follows.
Given Input numbers are 789, 625, 737, 972
In the factoring method, we have to find the divisors of all numbers
Divisors of 789 :
The positive integer divisors of 789 that completely divides 789 are.
1, 3, 263, 789
Divisors of 625 :
The positive integer divisors of 625 that completely divides 625 are.
1, 5, 25, 125, 625
Divisors of 737 :
The positive integer divisors of 737 that completely divides 737 are.
1, 11, 67, 737
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 (789, 625, 737, 972) = 1.
Given numbers are 789, 625, 737, 972
The list of prime factors of all numbers are
Prime factors of 789 are 3 x 263
Prime factors of 625 are 5 x 5 x 5 x 5
Prime factors of 737 are 11 x 67
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 789, 625, 737, 972
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(789, 625) = 493125
GCD(789, 625) = ( 789 x 625 ) / 493125
= 789 / 625
= 789
Step2:
LCM(1, 737) = 737
GCD(1, 737) = ( 1 x 737 ) / 737
= 1 / 737
= 1
Step3:
LCM(1, 972) = 972
GCD(1, 972) = ( 1 x 972 ) / 972
= 1 / 972
= 1
So, Greatest Common Divisor of 789, 625, 737, 972 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 789, 625, 737, 972
The greatest common divisor of numbers 789, 625, 737, 972 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 789, 625, 737, 972 is 1.
1. What is the GCD of 789, 625, 737, 972?
GCD of given numbers 789, 625, 737, 972 is 1
2. How to calculate the greatest common divisor of 789, 625, 737, 972?
We can find the highest common divisor of 789, 625, 737, 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 789, 625, 737, 972 i.e 1.
3. How can I use the GCD of 789, 625, 737, 972Calculator?
Out the numbers 789, 625, 737, 972 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.