Online GCD Calculator is useful to find the GCD of 602, 370, 298, 500 quickly. Get the easiest ways to solve the greatest common divisor of 602, 370, 298, 500 i.e 2 in different methods as follows.
Given Input numbers are 602, 370, 298, 500
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 370 :
The positive integer divisors of 370 that completely divides 370 are.
1, 2, 5, 10, 37, 74, 185, 370
Divisors of 298 :
The positive integer divisors of 298 that completely divides 298 are.
1, 2, 149, 298
Divisors of 500 :
The positive integer divisors of 500 that completely divides 500 are.
1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500
GCD of numbers is the greatest common divisor
So, the GCD (602, 370, 298, 500) = 2.
Given numbers are 602, 370, 298, 500
The list of prime factors of all numbers are
Prime factors of 602 are 2 x 7 x 43
Prime factors of 370 are 2 x 5 x 37
Prime factors of 298 are 2 x 149
Prime factors of 500 are 2 x 2 x 5 x 5 x 5
The highest common occurrence is 21
Therefore, GCD of 602, 370, 298, 500 is 2.
Given numbers are 602, 370, 298, 500
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(602, 370) = 111370
GCD(602, 370) = ( 602 x 370 ) / 111370
= 602 / 370
= 602
Step2:
LCM(2, 298) = 298
GCD(2, 298) = ( 2 x 298 ) / 298
= 2 / 298
= 2
Step3:
LCM(2, 500) = 500
GCD(2, 500) = ( 2 x 500 ) / 500
= 2 / 500
= 2
So, Greatest Common Divisor of 602, 370, 298, 500 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 602, 370, 298, 500
The greatest common divisor of numbers 602, 370, 298, 500 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 602, 370, 298, 500 is 2.
1. What is the GCD of 602, 370, 298, 500?
GCD of given numbers 602, 370, 298, 500 is 2
2. How to calculate the greatest common divisor of 602, 370, 298, 500?
We can find the highest common divisor of 602, 370, 298, 500 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, 370, 298, 500 i.e 2.
3. How can I use the GCD of 602, 370, 298, 500Calculator?
Out the numbers 602, 370, 298, 500 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.