Online GCD Calculator is useful to find the GCD of 757, 180, 722, 492 quickly. Get the easiest ways to solve the greatest common divisor of 757, 180, 722, 492 i.e 1 in different methods as follows.
Given Input numbers are 757, 180, 722, 492
In the factoring method, we have to find the divisors of all numbers
Divisors of 757 :
The positive integer divisors of 757 that completely divides 757 are.
1, 757
Divisors of 180 :
The positive integer divisors of 180 that completely divides 180 are.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
Divisors of 722 :
The positive integer divisors of 722 that completely divides 722 are.
1, 2, 19, 38, 361, 722
Divisors of 492 :
The positive integer divisors of 492 that completely divides 492 are.
1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492
GCD of numbers is the greatest common divisor
So, the GCD (757, 180, 722, 492) = 1.
Given numbers are 757, 180, 722, 492
The list of prime factors of all numbers are
Prime factors of 757 are 757
Prime factors of 180 are 2 x 2 x 3 x 3 x 5
Prime factors of 722 are 2 x 19 x 19
Prime factors of 492 are 2 x 2 x 3 x 41
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 757, 180, 722, 492
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(757, 180) = 136260
GCD(757, 180) = ( 757 x 180 ) / 136260
= 757 / 180
= 757
Step2:
LCM(1, 722) = 722
GCD(1, 722) = ( 1 x 722 ) / 722
= 1 / 722
= 1
Step3:
LCM(1, 492) = 492
GCD(1, 492) = ( 1 x 492 ) / 492
= 1 / 492
= 1
So, Greatest Common Divisor of 757, 180, 722, 492 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 757, 180, 722, 492
The greatest common divisor of numbers 757, 180, 722, 492 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 757, 180, 722, 492 is 1.
1. What is the GCD of 757, 180, 722, 492?
GCD of given numbers 757, 180, 722, 492 is 1
2. How to calculate the greatest common divisor of 757, 180, 722, 492?
We can find the highest common divisor of 757, 180, 722, 492 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 757, 180, 722, 492 i.e 1.
3. How can I use the GCD of 757, 180, 722, 492Calculator?
Out the numbers 757, 180, 722, 492 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.