Online GCD Calculator is useful to find the GCD of 602, 728, 301, 952 quickly. Get the easiest ways to solve the greatest common divisor of 602, 728, 301, 952 i.e 7 in different methods as follows.
Given Input numbers are 602, 728, 301, 952
In the factoring method, we have to find the divisors of all numbers
Divisors of 602 :
The positive integer divisors of 602 that completely divides 602 are.
1, 2, 7, 14, 43, 86, 301, 602
Divisors of 728 :
The positive integer divisors of 728 that completely divides 728 are.
1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
Divisors of 301 :
The positive integer divisors of 301 that completely divides 301 are.
1, 7, 43, 301
Divisors of 952 :
The positive integer divisors of 952 that completely divides 952 are.
1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952
GCD of numbers is the greatest common divisor
So, the GCD (602, 728, 301, 952) = 7.
Given numbers are 602, 728, 301, 952
The list of prime factors of all numbers are
Prime factors of 602 are 2 x 7 x 43
Prime factors of 728 are 2 x 2 x 2 x 7 x 13
Prime factors of 301 are 7 x 43
Prime factors of 952 are 2 x 2 x 2 x 7 x 17
The highest common occurrence is 71
Therefore, GCD of 602, 728, 301, 952 is 7.
Given numbers are 602, 728, 301, 952
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(602, 728) = 31304
GCD(602, 728) = ( 602 x 728 ) / 31304
= 602 / 728
= 602
Step2:
LCM(14, 301) = 602
GCD(14, 301) = ( 14 x 301 ) / 602
= 14 / 301
= 14
Step3:
LCM(7, 952) = 952
GCD(7, 952) = ( 7 x 952 ) / 952
= 7 / 952
= 7
So, Greatest Common Divisor of 602, 728, 301, 952 is 7
Here are some samples of GCD of Numbers calculations.
Given numbers are 602, 728, 301, 952
The greatest common divisor of numbers 602, 728, 301, 952 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 602, 728, 301, 952 is 7.
1. What is the GCD of 602, 728, 301, 952?
GCD of given numbers 602, 728, 301, 952 is 7
2. How to calculate the greatest common divisor of 602, 728, 301, 952?
We can find the highest common divisor of 602, 728, 301, 952 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 602, 728, 301, 952 i.e 7.
3. How can I use the GCD of 602, 728, 301, 952Calculator?
Out the numbers 602, 728, 301, 952 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.