Online GCD Calculator is useful to find the GCD of 722, 894, 667, 132 quickly. Get the easiest ways to solve the greatest common divisor of 722, 894, 667, 132 i.e 1 in different methods as follows.
Given Input numbers are 722, 894, 667, 132
In the factoring method, we have to find the divisors of all numbers
Divisors of 722 :
The positive integer divisors of 722 that completely divides 722 are.
1, 2, 19, 38, 361, 722
Divisors of 894 :
The positive integer divisors of 894 that completely divides 894 are.
1, 2, 3, 6, 149, 298, 447, 894
Divisors of 667 :
The positive integer divisors of 667 that completely divides 667 are.
1, 23, 29, 667
Divisors of 132 :
The positive integer divisors of 132 that completely divides 132 are.
1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132
GCD of numbers is the greatest common divisor
So, the GCD (722, 894, 667, 132) = 1.
Given numbers are 722, 894, 667, 132
The list of prime factors of all numbers are
Prime factors of 722 are 2 x 19 x 19
Prime factors of 894 are 2 x 3 x 149
Prime factors of 667 are 23 x 29
Prime factors of 132 are 2 x 2 x 3 x 11
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 722, 894, 667, 132
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(722, 894) = 322734
GCD(722, 894) = ( 722 x 894 ) / 322734
= 722 / 894
= 722
Step2:
LCM(2, 667) = 1334
GCD(2, 667) = ( 2 x 667 ) / 1334
= 2 / 667
= 2
Step3:
LCM(1, 132) = 132
GCD(1, 132) = ( 1 x 132 ) / 132
= 1 / 132
= 1
So, Greatest Common Divisor of 722, 894, 667, 132 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 722, 894, 667, 132
The greatest common divisor of numbers 722, 894, 667, 132 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 722, 894, 667, 132 is 1.
1. What is the GCD of 722, 894, 667, 132?
GCD of given numbers 722, 894, 667, 132 is 1
2. How to calculate the greatest common divisor of 722, 894, 667, 132?
We can find the highest common divisor of 722, 894, 667, 132 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 722, 894, 667, 132 i.e 1.
3. How can I use the GCD of 722, 894, 667, 132Calculator?
Out the numbers 722, 894, 667, 132 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.