Online GCD Calculator is useful to find the GCD of 972, 367, 722, 874 quickly. Get the easiest ways to solve the greatest common divisor of 972, 367, 722, 874 i.e 1 in different methods as follows.
Given Input numbers are 972, 367, 722, 874
In the factoring method, we have to find the divisors of all numbers
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
Divisors of 367 :
The positive integer divisors of 367 that completely divides 367 are.
1, 367
Divisors of 722 :
The positive integer divisors of 722 that completely divides 722 are.
1, 2, 19, 38, 361, 722
Divisors of 874 :
The positive integer divisors of 874 that completely divides 874 are.
1, 2, 19, 23, 38, 46, 437, 874
GCD of numbers is the greatest common divisor
So, the GCD (972, 367, 722, 874) = 1.
Given numbers are 972, 367, 722, 874
The list of prime factors of all numbers are
Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3
Prime factors of 367 are 367
Prime factors of 722 are 2 x 19 x 19
Prime factors of 874 are 2 x 19 x 23
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 972, 367, 722, 874
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(972, 367) = 356724
GCD(972, 367) = ( 972 x 367 ) / 356724
= 972 / 367
= 972
Step2:
LCM(1, 722) = 722
GCD(1, 722) = ( 1 x 722 ) / 722
= 1 / 722
= 1
Step3:
LCM(1, 874) = 874
GCD(1, 874) = ( 1 x 874 ) / 874
= 1 / 874
= 1
So, Greatest Common Divisor of 972, 367, 722, 874 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 972, 367, 722, 874
The greatest common divisor of numbers 972, 367, 722, 874 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 972, 367, 722, 874 is 1.
1. What is the GCD of 972, 367, 722, 874?
GCD of given numbers 972, 367, 722, 874 is 1
2. How to calculate the greatest common divisor of 972, 367, 722, 874?
We can find the highest common divisor of 972, 367, 722, 874 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 972, 367, 722, 874 i.e 1.
3. How can I use the GCD of 972, 367, 722, 874Calculator?
Out the numbers 972, 367, 722, 874 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.