Online GCD Calculator is useful to find the GCD of 602, 738, 342, 820 quickly. Get the easiest ways to solve the greatest common divisor of 602, 738, 342, 820 i.e 2 in different methods as follows.
Given Input numbers are 602, 738, 342, 820
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 738 :
The positive integer divisors of 738 that completely divides 738 are.
1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738
Divisors of 342 :
The positive integer divisors of 342 that completely divides 342 are.
1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
Divisors of 820 :
The positive integer divisors of 820 that completely divides 820 are.
1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
GCD of numbers is the greatest common divisor
So, the GCD (602, 738, 342, 820) = 2.
Given numbers are 602, 738, 342, 820
The list of prime factors of all numbers are
Prime factors of 602 are 2 x 7 x 43
Prime factors of 738 are 2 x 3 x 3 x 41
Prime factors of 342 are 2 x 3 x 3 x 19
Prime factors of 820 are 2 x 2 x 5 x 41
The highest common occurrence is 21
Therefore, GCD of 602, 738, 342, 820 is 2.
Given numbers are 602, 738, 342, 820
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(602, 738) = 222138
GCD(602, 738) = ( 602 x 738 ) / 222138
= 602 / 738
= 602
Step2:
LCM(2, 342) = 342
GCD(2, 342) = ( 2 x 342 ) / 342
= 2 / 342
= 2
Step3:
LCM(2, 820) = 820
GCD(2, 820) = ( 2 x 820 ) / 820
= 2 / 820
= 2
So, Greatest Common Divisor of 602, 738, 342, 820 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 602, 738, 342, 820
The greatest common divisor of numbers 602, 738, 342, 820 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 602, 738, 342, 820 is 2.
1. What is the GCD of 602, 738, 342, 820?
GCD of given numbers 602, 738, 342, 820 is 2
2. How to calculate the greatest common divisor of 602, 738, 342, 820?
We can find the highest common divisor of 602, 738, 342, 820 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, 738, 342, 820 i.e 2.
3. How can I use the GCD of 602, 738, 342, 820Calculator?
Out the numbers 602, 738, 342, 820 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.