Online GCD Calculator is useful to find the GCD of 762, 772, 261, 180 quickly. Get the easiest ways to solve the greatest common divisor of 762, 772, 261, 180 i.e 1 in different methods as follows.
Given Input numbers are 762, 772, 261, 180
In the factoring method, we have to find the divisors of all numbers
Divisors of 762 :
The positive integer divisors of 762 that completely divides 762 are.
1, 2, 3, 6, 127, 254, 381, 762
Divisors of 772 :
The positive integer divisors of 772 that completely divides 772 are.
1, 2, 4, 193, 386, 772
Divisors of 261 :
The positive integer divisors of 261 that completely divides 261 are.
1, 3, 9, 29, 87, 261
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
GCD of numbers is the greatest common divisor
So, the GCD (762, 772, 261, 180) = 1.
Given numbers are 762, 772, 261, 180
The list of prime factors of all numbers are
Prime factors of 762 are 2 x 3 x 127
Prime factors of 772 are 2 x 2 x 193
Prime factors of 261 are 3 x 3 x 29
Prime factors of 180 are 2 x 2 x 3 x 3 x 5
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 762, 772, 261, 180
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(762, 772) = 294132
GCD(762, 772) = ( 762 x 772 ) / 294132
= 762 / 772
= 762
Step2:
LCM(2, 261) = 522
GCD(2, 261) = ( 2 x 261 ) / 522
= 2 / 261
= 2
Step3:
LCM(1, 180) = 180
GCD(1, 180) = ( 1 x 180 ) / 180
= 1 / 180
= 1
So, Greatest Common Divisor of 762, 772, 261, 180 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 762, 772, 261, 180
The greatest common divisor of numbers 762, 772, 261, 180 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 762, 772, 261, 180 is 1.
1. What is the GCD of 762, 772, 261, 180?
GCD of given numbers 762, 772, 261, 180 is 1
2. How to calculate the greatest common divisor of 762, 772, 261, 180?
We can find the highest common divisor of 762, 772, 261, 180 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 762, 772, 261, 180 i.e 1.
3. How can I use the GCD of 762, 772, 261, 180Calculator?
Out the numbers 762, 772, 261, 180 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.