Online GCD Calculator is useful to find the GCD of 959, 966, 743, 972 quickly. Get the easiest ways to solve the greatest common divisor of 959, 966, 743, 972 i.e 1 in different methods as follows.
Given Input numbers are 959, 966, 743, 972
In the factoring method, we have to find the divisors of all numbers
Divisors of 959 :
The positive integer divisors of 959 that completely divides 959 are.
1, 7, 137, 959
Divisors of 966 :
The positive integer divisors of 966 that completely divides 966 are.
1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966
Divisors of 743 :
The positive integer divisors of 743 that completely divides 743 are.
1, 743
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 (959, 966, 743, 972) = 1.
Given numbers are 959, 966, 743, 972
The list of prime factors of all numbers are
Prime factors of 959 are 7 x 137
Prime factors of 966 are 2 x 3 x 7 x 23
Prime factors of 743 are 743
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 959, 966, 743, 972
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(959, 966) = 132342
GCD(959, 966) = ( 959 x 966 ) / 132342
= 959 / 966
= 959
Step2:
LCM(7, 743) = 5201
GCD(7, 743) = ( 7 x 743 ) / 5201
= 7 / 743
= 7
Step3:
LCM(1, 972) = 972
GCD(1, 972) = ( 1 x 972 ) / 972
= 1 / 972
= 1
So, Greatest Common Divisor of 959, 966, 743, 972 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 959, 966, 743, 972
The greatest common divisor of numbers 959, 966, 743, 972 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 959, 966, 743, 972 is 1.
1. What is the GCD of 959, 966, 743, 972?
GCD of given numbers 959, 966, 743, 972 is 1
2. How to calculate the greatest common divisor of 959, 966, 743, 972?
We can find the highest common divisor of 959, 966, 743, 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 959, 966, 743, 972 i.e 1.
3. How can I use the GCD of 959, 966, 743, 972Calculator?
Out the numbers 959, 966, 743, 972 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.