Online GCD Calculator is useful to find the GCD of 107, 597, 973, 972 quickly. Get the easiest ways to solve the greatest common divisor of 107, 597, 973, 972 i.e 1 in different methods as follows.
Given Input numbers are 107, 597, 973, 972
In the factoring method, we have to find the divisors of all numbers
Divisors of 107 :
The positive integer divisors of 107 that completely divides 107 are.
1, 107
Divisors of 597 :
The positive integer divisors of 597 that completely divides 597 are.
1, 3, 199, 597
Divisors of 973 :
The positive integer divisors of 973 that completely divides 973 are.
1, 7, 139, 973
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 (107, 597, 973, 972) = 1.
Given numbers are 107, 597, 973, 972
The list of prime factors of all numbers are
Prime factors of 107 are 107
Prime factors of 597 are 3 x 199
Prime factors of 973 are 7 x 139
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 107, 597, 973, 972
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(107, 597) = 63879
GCD(107, 597) = ( 107 x 597 ) / 63879
= 107 / 597
= 107
Step2:
LCM(1, 973) = 973
GCD(1, 973) = ( 1 x 973 ) / 973
= 1 / 973
= 1
Step3:
LCM(1, 972) = 972
GCD(1, 972) = ( 1 x 972 ) / 972
= 1 / 972
= 1
So, Greatest Common Divisor of 107, 597, 973, 972 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 107, 597, 973, 972
The greatest common divisor of numbers 107, 597, 973, 972 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 107, 597, 973, 972 is 1.
1. What is the GCD of 107, 597, 973, 972?
GCD of given numbers 107, 597, 973, 972 is 1
2. How to calculate the greatest common divisor of 107, 597, 973, 972?
We can find the highest common divisor of 107, 597, 973, 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 107, 597, 973, 972 i.e 1.
3. How can I use the GCD of 107, 597, 973, 972Calculator?
Out the numbers 107, 597, 973, 972 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.