Online GCD Calculator is useful to find the GCD of 261, 700, 772, 729 quickly. Get the easiest ways to solve the greatest common divisor of 261, 700, 772, 729 i.e 1 in different methods as follows.
Given Input numbers are 261, 700, 772, 729
In the factoring method, we have to find the divisors of all numbers
Divisors of 261 :
The positive integer divisors of 261 that completely divides 261 are.
1, 3, 9, 29, 87, 261
Divisors of 700 :
The positive integer divisors of 700 that completely divides 700 are.
1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700
Divisors of 772 :
The positive integer divisors of 772 that completely divides 772 are.
1, 2, 4, 193, 386, 772
Divisors of 729 :
The positive integer divisors of 729 that completely divides 729 are.
1, 3, 9, 27, 81, 243, 729
GCD of numbers is the greatest common divisor
So, the GCD (261, 700, 772, 729) = 1.
Given numbers are 261, 700, 772, 729
The list of prime factors of all numbers are
Prime factors of 261 are 3 x 3 x 29
Prime factors of 700 are 2 x 2 x 5 x 5 x 7
Prime factors of 772 are 2 x 2 x 193
Prime factors of 729 are 3 x 3 x 3 x 3 x 3 x 3
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 261, 700, 772, 729
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(261, 700) = 182700
GCD(261, 700) = ( 261 x 700 ) / 182700
= 261 / 700
= 261
Step2:
LCM(1, 772) = 772
GCD(1, 772) = ( 1 x 772 ) / 772
= 1 / 772
= 1
Step3:
LCM(1, 729) = 729
GCD(1, 729) = ( 1 x 729 ) / 729
= 1 / 729
= 1
So, Greatest Common Divisor of 261, 700, 772, 729 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 261, 700, 772, 729
The greatest common divisor of numbers 261, 700, 772, 729 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 261, 700, 772, 729 is 1.
1. What is the GCD of 261, 700, 772, 729?
GCD of given numbers 261, 700, 772, 729 is 1
2. How to calculate the greatest common divisor of 261, 700, 772, 729?
We can find the highest common divisor of 261, 700, 772, 729 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 261, 700, 772, 729 i.e 1.
3. How can I use the GCD of 261, 700, 772, 729Calculator?
Out the numbers 261, 700, 772, 729 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.