Online GCD Calculator is useful to find the GCD of 273, 721, 364, 532 quickly. Get the easiest ways to solve the greatest common divisor of 273, 721, 364, 532 i.e 7 in different methods as follows.
Given Input numbers are 273, 721, 364, 532
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 721 :
The positive integer divisors of 721 that completely divides 721 are.
1, 7, 103, 721
Divisors of 364 :
The positive integer divisors of 364 that completely divides 364 are.
1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
Divisors of 532 :
The positive integer divisors of 532 that completely divides 532 are.
1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532
GCD of numbers is the greatest common divisor
So, the GCD (273, 721, 364, 532) = 7.
Given numbers are 273, 721, 364, 532
The list of prime factors of all numbers are
Prime factors of 273 are 3 x 7 x 13
Prime factors of 721 are 7 x 103
Prime factors of 364 are 2 x 2 x 7 x 13
Prime factors of 532 are 2 x 2 x 7 x 19
The highest common occurrence is 71
Therefore, GCD of 273, 721, 364, 532 is 7.
Given numbers are 273, 721, 364, 532
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(273, 721) = 28119
GCD(273, 721) = ( 273 x 721 ) / 28119
= 273 / 721
= 273
Step2:
LCM(7, 364) = 364
GCD(7, 364) = ( 7 x 364 ) / 364
= 7 / 364
= 7
Step3:
LCM(7, 532) = 532
GCD(7, 532) = ( 7 x 532 ) / 532
= 7 / 532
= 7
So, Greatest Common Divisor of 273, 721, 364, 532 is 7
Here are some samples of GCD of Numbers calculations.
Given numbers are 273, 721, 364, 532
The greatest common divisor of numbers 273, 721, 364, 532 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 273, 721, 364, 532 is 7.
1. What is the GCD of 273, 721, 364, 532?
GCD of given numbers 273, 721, 364, 532 is 7
2. How to calculate the greatest common divisor of 273, 721, 364, 532?
We can find the highest common divisor of 273, 721, 364, 532 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, 721, 364, 532 i.e 7.
3. How can I use the GCD of 273, 721, 364, 532Calculator?
Out the numbers 273, 721, 364, 532 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.