Online GCD Calculator is useful to find the GCD of 940, 506, 602, 738 quickly. Get the easiest ways to solve the greatest common divisor of 940, 506, 602, 738 i.e 2 in different methods as follows.
Given Input numbers are 940, 506, 602, 738
In the factoring method, we have to find the divisors of all numbers
Divisors of 940 :
The positive integer divisors of 940 that completely divides 940 are.
1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940
Divisors of 506 :
The positive integer divisors of 506 that completely divides 506 are.
1, 2, 11, 22, 23, 46, 253, 506
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
GCD of numbers is the greatest common divisor
So, the GCD (940, 506, 602, 738) = 2.
Given numbers are 940, 506, 602, 738
The list of prime factors of all numbers are
Prime factors of 940 are 2 x 2 x 5 x 47
Prime factors of 506 are 2 x 11 x 23
Prime factors of 602 are 2 x 7 x 43
Prime factors of 738 are 2 x 3 x 3 x 41
The highest common occurrence is 21
Therefore, GCD of 940, 506, 602, 738 is 2.
Given numbers are 940, 506, 602, 738
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(940, 506) = 237820
GCD(940, 506) = ( 940 x 506 ) / 237820
= 940 / 506
= 940
Step2:
LCM(2, 602) = 602
GCD(2, 602) = ( 2 x 602 ) / 602
= 2 / 602
= 2
Step3:
LCM(2, 738) = 738
GCD(2, 738) = ( 2 x 738 ) / 738
= 2 / 738
= 2
So, Greatest Common Divisor of 940, 506, 602, 738 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 940, 506, 602, 738
The greatest common divisor of numbers 940, 506, 602, 738 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 940, 506, 602, 738 is 2.
1. What is the GCD of 940, 506, 602, 738?
GCD of given numbers 940, 506, 602, 738 is 2
2. How to calculate the greatest common divisor of 940, 506, 602, 738?
We can find the highest common divisor of 940, 506, 602, 738 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 940, 506, 602, 738 i.e 2.
3. How can I use the GCD of 940, 506, 602, 738Calculator?
Out the numbers 940, 506, 602, 738 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.