Online GCD Calculator is useful to find the GCD of 724, 718, 962, 676 quickly. Get the easiest ways to solve the greatest common divisor of 724, 718, 962, 676 i.e 2 in different methods as follows.
Given Input numbers are 724, 718, 962, 676
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 718 :
The positive integer divisors of 718 that completely divides 718 are.
1, 2, 359, 718
Divisors of 962 :
The positive integer divisors of 962 that completely divides 962 are.
1, 2, 13, 26, 37, 74, 481, 962
Divisors of 676 :
The positive integer divisors of 676 that completely divides 676 are.
1, 2, 4, 13, 26, 52, 169, 338, 676
GCD of numbers is the greatest common divisor
So, the GCD (724, 718, 962, 676) = 2.
Given numbers are 724, 718, 962, 676
The list of prime factors of all numbers are
Prime factors of 724 are 2 x 2 x 181
Prime factors of 718 are 2 x 359
Prime factors of 962 are 2 x 13 x 37
Prime factors of 676 are 2 x 2 x 13 x 13
The highest common occurrence is 21
Therefore, GCD of 724, 718, 962, 676 is 2.
Given numbers are 724, 718, 962, 676
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(724, 718) = 259916
GCD(724, 718) = ( 724 x 718 ) / 259916
= 724 / 718
= 724
Step2:
LCM(2, 962) = 962
GCD(2, 962) = ( 2 x 962 ) / 962
= 2 / 962
= 2
Step3:
LCM(2, 676) = 676
GCD(2, 676) = ( 2 x 676 ) / 676
= 2 / 676
= 2
So, Greatest Common Divisor of 724, 718, 962, 676 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 724, 718, 962, 676
The greatest common divisor of numbers 724, 718, 962, 676 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 724, 718, 962, 676 is 2.
1. What is the GCD of 724, 718, 962, 676?
GCD of given numbers 724, 718, 962, 676 is 2
2. How to calculate the greatest common divisor of 724, 718, 962, 676?
We can find the highest common divisor of 724, 718, 962, 676 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, 718, 962, 676 i.e 2.
3. How can I use the GCD of 724, 718, 962, 676Calculator?
Out the numbers 724, 718, 962, 676 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.