Online GCD Calculator is useful to find the GCD of 867, 949, 764, 972 quickly. Get the easiest ways to solve the greatest common divisor of 867, 949, 764, 972 i.e 1 in different methods as follows.
Given Input numbers are 867, 949, 764, 972
In the factoring method, we have to find the divisors of all numbers
Divisors of 867 :
The positive integer divisors of 867 that completely divides 867 are.
1, 3, 17, 51, 289, 867
Divisors of 949 :
The positive integer divisors of 949 that completely divides 949 are.
1, 13, 73, 949
Divisors of 764 :
The positive integer divisors of 764 that completely divides 764 are.
1, 2, 4, 191, 382, 764
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 (867, 949, 764, 972) = 1.
Given numbers are 867, 949, 764, 972
The list of prime factors of all numbers are
Prime factors of 867 are 3 x 17 x 17
Prime factors of 949 are 13 x 73
Prime factors of 764 are 2 x 2 x 191
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 867, 949, 764, 972
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(867, 949) = 822783
GCD(867, 949) = ( 867 x 949 ) / 822783
= 867 / 949
= 867
Step2:
LCM(1, 764) = 764
GCD(1, 764) = ( 1 x 764 ) / 764
= 1 / 764
= 1
Step3:
LCM(1, 972) = 972
GCD(1, 972) = ( 1 x 972 ) / 972
= 1 / 972
= 1
So, Greatest Common Divisor of 867, 949, 764, 972 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 867, 949, 764, 972
The greatest common divisor of numbers 867, 949, 764, 972 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 867, 949, 764, 972 is 1.
1. What is the GCD of 867, 949, 764, 972?
GCD of given numbers 867, 949, 764, 972 is 1
2. How to calculate the greatest common divisor of 867, 949, 764, 972?
We can find the highest common divisor of 867, 949, 764, 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 867, 949, 764, 972 i.e 1.
3. How can I use the GCD of 867, 949, 764, 972Calculator?
Out the numbers 867, 949, 764, 972 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.