Online GCD Calculator is useful to find the GCD of 972, 669, 835, 722 quickly. Get the easiest ways to solve the greatest common divisor of 972, 669, 835, 722 i.e 1 in different methods as follows.
Given Input numbers are 972, 669, 835, 722
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 669 :
The positive integer divisors of 669 that completely divides 669 are.
1, 3, 223, 669
Divisors of 835 :
The positive integer divisors of 835 that completely divides 835 are.
1, 5, 167, 835
Divisors of 722 :
The positive integer divisors of 722 that completely divides 722 are.
1, 2, 19, 38, 361, 722
GCD of numbers is the greatest common divisor
So, the GCD (972, 669, 835, 722) = 1.
Given numbers are 972, 669, 835, 722
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 669 are 3 x 223
Prime factors of 835 are 5 x 167
Prime factors of 722 are 2 x 19 x 19
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 972, 669, 835, 722
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(972, 669) = 216756
GCD(972, 669) = ( 972 x 669 ) / 216756
= 972 / 669
= 972
Step2:
LCM(3, 835) = 2505
GCD(3, 835) = ( 3 x 835 ) / 2505
= 3 / 835
= 3
Step3:
LCM(1, 722) = 722
GCD(1, 722) = ( 1 x 722 ) / 722
= 1 / 722
= 1
So, Greatest Common Divisor of 972, 669, 835, 722 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 972, 669, 835, 722
The greatest common divisor of numbers 972, 669, 835, 722 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 972, 669, 835, 722 is 1.
1. What is the GCD of 972, 669, 835, 722?
GCD of given numbers 972, 669, 835, 722 is 1
2. How to calculate the greatest common divisor of 972, 669, 835, 722?
We can find the highest common divisor of 972, 669, 835, 722 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, 669, 835, 722 i.e 1.
3. How can I use the GCD of 972, 669, 835, 722Calculator?
Out the numbers 972, 669, 835, 722 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.