Online GCD Calculator is useful to find the GCD of 273, 213, 825, 782 quickly. Get the easiest ways to solve the greatest common divisor of 273, 213, 825, 782 i.e 1 in different methods as follows.
Given Input numbers are 273, 213, 825, 782
In the factoring method, we have to find the divisors of all numbers
Divisors of 273 :
The positive integer divisors of 273 that completely divides 273 are.
1, 3, 7, 13, 21, 39, 91, 273
Divisors of 213 :
The positive integer divisors of 213 that completely divides 213 are.
1, 3, 71, 213
Divisors of 825 :
The positive integer divisors of 825 that completely divides 825 are.
1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825
Divisors of 782 :
The positive integer divisors of 782 that completely divides 782 are.
1, 2, 17, 23, 34, 46, 391, 782
GCD of numbers is the greatest common divisor
So, the GCD (273, 213, 825, 782) = 1.
Given numbers are 273, 213, 825, 782
The list of prime factors of all numbers are
Prime factors of 273 are 3 x 7 x 13
Prime factors of 213 are 3 x 71
Prime factors of 825 are 3 x 5 x 5 x 11
Prime factors of 782 are 2 x 17 x 23
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 273, 213, 825, 782
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(273, 213) = 19383
GCD(273, 213) = ( 273 x 213 ) / 19383
= 273 / 213
= 273
Step2:
LCM(3, 825) = 825
GCD(3, 825) = ( 3 x 825 ) / 825
= 3 / 825
= 3
Step3:
LCM(3, 782) = 2346
GCD(3, 782) = ( 3 x 782 ) / 2346
= 3 / 782
= 3
So, Greatest Common Divisor of 273, 213, 825, 782 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 273, 213, 825, 782
The greatest common divisor of numbers 273, 213, 825, 782 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 273, 213, 825, 782 is 1.
1. What is the GCD of 273, 213, 825, 782?
GCD of given numbers 273, 213, 825, 782 is 1
2. How to calculate the greatest common divisor of 273, 213, 825, 782?
We can find the highest common divisor of 273, 213, 825, 782 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 273, 213, 825, 782 i.e 1.
3. How can I use the GCD of 273, 213, 825, 782Calculator?
Out the numbers 273, 213, 825, 782 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.