Online GCD Calculator is useful to find the GCD of 936, 820, 746, 718 quickly. Get the easiest ways to solve the greatest common divisor of 936, 820, 746, 718 i.e 2 in different methods as follows.
Given Input numbers are 936, 820, 746, 718
In the factoring method, we have to find the divisors of all numbers
Divisors of 936 :
The positive integer divisors of 936 that completely divides 936 are.
1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936
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
Divisors of 746 :
The positive integer divisors of 746 that completely divides 746 are.
1, 2, 373, 746
Divisors of 718 :
The positive integer divisors of 718 that completely divides 718 are.
1, 2, 359, 718
GCD of numbers is the greatest common divisor
So, the GCD (936, 820, 746, 718) = 2.
Given numbers are 936, 820, 746, 718
The list of prime factors of all numbers are
Prime factors of 936 are 2 x 2 x 2 x 3 x 3 x 13
Prime factors of 820 are 2 x 2 x 5 x 41
Prime factors of 746 are 2 x 373
Prime factors of 718 are 2 x 359
The highest common occurrence is 21
Therefore, GCD of 936, 820, 746, 718 is 2.
Given numbers are 936, 820, 746, 718
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(936, 820) = 191880
GCD(936, 820) = ( 936 x 820 ) / 191880
= 936 / 820
= 936
Step2:
LCM(4, 746) = 1492
GCD(4, 746) = ( 4 x 746 ) / 1492
= 4 / 746
= 4
Step3:
LCM(2, 718) = 718
GCD(2, 718) = ( 2 x 718 ) / 718
= 2 / 718
= 2
So, Greatest Common Divisor of 936, 820, 746, 718 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 936, 820, 746, 718
The greatest common divisor of numbers 936, 820, 746, 718 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 936, 820, 746, 718 is 2.
1. What is the GCD of 936, 820, 746, 718?
GCD of given numbers 936, 820, 746, 718 is 2
2. How to calculate the greatest common divisor of 936, 820, 746, 718?
We can find the highest common divisor of 936, 820, 746, 718 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 936, 820, 746, 718 i.e 2.
3. How can I use the GCD of 936, 820, 746, 718Calculator?
Out the numbers 936, 820, 746, 718 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.