Online GCD Calculator is useful to find the GCD of 746, 732, 940, 520 quickly. Get the easiest ways to solve the greatest common divisor of 746, 732, 940, 520 i.e 2 in different methods as follows.
Given Input numbers are 746, 732, 940, 520
In the factoring method, we have to find the divisors of all numbers
Divisors of 746 :
The positive integer divisors of 746 that completely divides 746 are.
1, 2, 373, 746
Divisors of 732 :
The positive integer divisors of 732 that completely divides 732 are.
1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732
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 520 :
The positive integer divisors of 520 that completely divides 520 are.
1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520
GCD of numbers is the greatest common divisor
So, the GCD (746, 732, 940, 520) = 2.
Given numbers are 746, 732, 940, 520
The list of prime factors of all numbers are
Prime factors of 746 are 2 x 373
Prime factors of 732 are 2 x 2 x 3 x 61
Prime factors of 940 are 2 x 2 x 5 x 47
Prime factors of 520 are 2 x 2 x 2 x 5 x 13
The highest common occurrence is 21
Therefore, GCD of 746, 732, 940, 520 is 2.
Given numbers are 746, 732, 940, 520
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(746, 732) = 273036
GCD(746, 732) = ( 746 x 732 ) / 273036
= 746 / 732
= 746
Step2:
LCM(2, 940) = 940
GCD(2, 940) = ( 2 x 940 ) / 940
= 2 / 940
= 2
Step3:
LCM(2, 520) = 520
GCD(2, 520) = ( 2 x 520 ) / 520
= 2 / 520
= 2
So, Greatest Common Divisor of 746, 732, 940, 520 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 746, 732, 940, 520
The greatest common divisor of numbers 746, 732, 940, 520 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 746, 732, 940, 520 is 2.
1. What is the GCD of 746, 732, 940, 520?
GCD of given numbers 746, 732, 940, 520 is 2
2. How to calculate the greatest common divisor of 746, 732, 940, 520?
We can find the highest common divisor of 746, 732, 940, 520 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 746, 732, 940, 520 i.e 2.
3. How can I use the GCD of 746, 732, 940, 520Calculator?
Out the numbers 746, 732, 940, 520 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.