Online GCD Calculator is useful to find the GCD of 724, 382, 318, 602 quickly. Get the easiest ways to solve the greatest common divisor of 724, 382, 318, 602 i.e 2 in different methods as follows.
Given Input numbers are 724, 382, 318, 602
In the factoring method, we have to find the divisors of all numbers
Divisors of 724 :
The positive integer divisors of 724 that completely divides 724 are.
1, 2, 4, 181, 362, 724
Divisors of 382 :
The positive integer divisors of 382 that completely divides 382 are.
1, 2, 191, 382
Divisors of 318 :
The positive integer divisors of 318 that completely divides 318 are.
1, 2, 3, 6, 53, 106, 159, 318
Divisors of 602 :
The positive integer divisors of 602 that completely divides 602 are.
1, 2, 7, 14, 43, 86, 301, 602
GCD of numbers is the greatest common divisor
So, the GCD (724, 382, 318, 602) = 2.
Given numbers are 724, 382, 318, 602
The list of prime factors of all numbers are
Prime factors of 724 are 2 x 2 x 181
Prime factors of 382 are 2 x 191
Prime factors of 318 are 2 x 3 x 53
Prime factors of 602 are 2 x 7 x 43
The highest common occurrence is 21
Therefore, GCD of 724, 382, 318, 602 is 2.
Given numbers are 724, 382, 318, 602
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(724, 382) = 138284
GCD(724, 382) = ( 724 x 382 ) / 138284
= 724 / 382
= 724
Step2:
LCM(2, 318) = 318
GCD(2, 318) = ( 2 x 318 ) / 318
= 2 / 318
= 2
Step3:
LCM(2, 602) = 602
GCD(2, 602) = ( 2 x 602 ) / 602
= 2 / 602
= 2
So, Greatest Common Divisor of 724, 382, 318, 602 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 724, 382, 318, 602
The greatest common divisor of numbers 724, 382, 318, 602 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 724, 382, 318, 602 is 2.
1. What is the GCD of 724, 382, 318, 602?
GCD of given numbers 724, 382, 318, 602 is 2
2. How to calculate the greatest common divisor of 724, 382, 318, 602?
We can find the highest common divisor of 724, 382, 318, 602 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 724, 382, 318, 602 i.e 2.
3. How can I use the GCD of 724, 382, 318, 602Calculator?
Out the numbers 724, 382, 318, 602 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.