Online GCD Calculator is useful to find the GCD of 724, 742, 944, 836 quickly. Get the easiest ways to solve the greatest common divisor of 724, 742, 944, 836 i.e 2 in different methods as follows.
Given Input numbers are 724, 742, 944, 836
In the factoring method, we have to find the divisors of all numbers
Divisors of 724 :
The positive integer divisors of 724 that completely divides 724 are.
1, 2, 4, 181, 362, 724
Divisors of 742 :
The positive integer divisors of 742 that completely divides 742 are.
1, 2, 7, 14, 53, 106, 371, 742
Divisors of 944 :
The positive integer divisors of 944 that completely divides 944 are.
1, 2, 4, 8, 16, 59, 118, 236, 472, 944
Divisors of 836 :
The positive integer divisors of 836 that completely divides 836 are.
1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836
GCD of numbers is the greatest common divisor
So, the GCD (724, 742, 944, 836) = 2.
Given numbers are 724, 742, 944, 836
The list of prime factors of all numbers are
Prime factors of 724 are 2 x 2 x 181
Prime factors of 742 are 2 x 7 x 53
Prime factors of 944 are 2 x 2 x 2 x 2 x 59
Prime factors of 836 are 2 x 2 x 11 x 19
The highest common occurrence is 21
Therefore, GCD of 724, 742, 944, 836 is 2.
Given numbers are 724, 742, 944, 836
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(724, 742) = 268604
GCD(724, 742) = ( 724 x 742 ) / 268604
= 724 / 742
= 724
Step2:
LCM(2, 944) = 944
GCD(2, 944) = ( 2 x 944 ) / 944
= 2 / 944
= 2
Step3:
LCM(2, 836) = 836
GCD(2, 836) = ( 2 x 836 ) / 836
= 2 / 836
= 2
So, Greatest Common Divisor of 724, 742, 944, 836 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 724, 742, 944, 836
The greatest common divisor of numbers 724, 742, 944, 836 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 724, 742, 944, 836 is 2.
1. What is the GCD of 724, 742, 944, 836?
GCD of given numbers 724, 742, 944, 836 is 2
2. How to calculate the greatest common divisor of 724, 742, 944, 836?
We can find the highest common divisor of 724, 742, 944, 836 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 724, 742, 944, 836 i.e 2.
3. How can I use the GCD of 724, 742, 944, 836Calculator?
Out the numbers 724, 742, 944, 836 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.