Online GCD Calculator is useful to find the GCD of 742, 984, 502, 756 quickly. Get the easiest ways to solve the greatest common divisor of 742, 984, 502, 756 i.e 2 in different methods as follows.
Given Input numbers are 742, 984, 502, 756
In the factoring method, we have to find the divisors of all numbers
Divisors of 742 :
The positive integer divisors of 742 that completely divides 742 are.
1, 2, 7, 14, 53, 106, 371, 742
Divisors of 984 :
The positive integer divisors of 984 that completely divides 984 are.
1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984
Divisors of 502 :
The positive integer divisors of 502 that completely divides 502 are.
1, 2, 251, 502
Divisors of 756 :
The positive integer divisors of 756 that completely divides 756 are.
1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
GCD of numbers is the greatest common divisor
So, the GCD (742, 984, 502, 756) = 2.
Given numbers are 742, 984, 502, 756
The list of prime factors of all numbers are
Prime factors of 742 are 2 x 7 x 53
Prime factors of 984 are 2 x 2 x 2 x 3 x 41
Prime factors of 502 are 2 x 251
Prime factors of 756 are 2 x 2 x 3 x 3 x 3 x 7
The highest common occurrence is 21
Therefore, GCD of 742, 984, 502, 756 is 2.
Given numbers are 742, 984, 502, 756
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(742, 984) = 365064
GCD(742, 984) = ( 742 x 984 ) / 365064
= 742 / 984
= 742
Step2:
LCM(2, 502) = 502
GCD(2, 502) = ( 2 x 502 ) / 502
= 2 / 502
= 2
Step3:
LCM(2, 756) = 756
GCD(2, 756) = ( 2 x 756 ) / 756
= 2 / 756
= 2
So, Greatest Common Divisor of 742, 984, 502, 756 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 742, 984, 502, 756
The greatest common divisor of numbers 742, 984, 502, 756 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 742, 984, 502, 756 is 2.
1. What is the GCD of 742, 984, 502, 756?
GCD of given numbers 742, 984, 502, 756 is 2
2. How to calculate the greatest common divisor of 742, 984, 502, 756?
We can find the highest common divisor of 742, 984, 502, 756 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 742, 984, 502, 756 i.e 2.
3. How can I use the GCD of 742, 984, 502, 756Calculator?
Out the numbers 742, 984, 502, 756 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.