Online GCD Calculator is useful to find the GCD of 724, 976, 584, 876 quickly. Get the easiest ways to solve the greatest common divisor of 724, 976, 584, 876 i.e 4 in different methods as follows.
Given Input numbers are 724, 976, 584, 876
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 976 :
The positive integer divisors of 976 that completely divides 976 are.
1, 2, 4, 8, 16, 61, 122, 244, 488, 976
Divisors of 584 :
The positive integer divisors of 584 that completely divides 584 are.
1, 2, 4, 8, 73, 146, 292, 584
Divisors of 876 :
The positive integer divisors of 876 that completely divides 876 are.
1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876
GCD of numbers is the greatest common divisor
So, the GCD (724, 976, 584, 876) = 4.
Given numbers are 724, 976, 584, 876
The list of prime factors of all numbers are
Prime factors of 724 are 2 x 2 x 181
Prime factors of 976 are 2 x 2 x 2 x 2 x 61
Prime factors of 584 are 2 x 2 x 2 x 73
Prime factors of 876 are 2 x 2 x 3 x 73
The highest common occurrence is 22
Therefore, GCD of 724, 976, 584, 876 is 4.
Given numbers are 724, 976, 584, 876
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(724, 976) = 176656
GCD(724, 976) = ( 724 x 976 ) / 176656
= 724 / 976
= 724
Step2:
LCM(4, 584) = 584
GCD(4, 584) = ( 4 x 584 ) / 584
= 4 / 584
= 4
Step3:
LCM(4, 876) = 876
GCD(4, 876) = ( 4 x 876 ) / 876
= 4 / 876
= 4
So, Greatest Common Divisor of 724, 976, 584, 876 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 724, 976, 584, 876
The greatest common divisor of numbers 724, 976, 584, 876 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 724, 976, 584, 876 is 4.
1. What is the GCD of 724, 976, 584, 876?
GCD of given numbers 724, 976, 584, 876 is 4
2. How to calculate the greatest common divisor of 724, 976, 584, 876?
We can find the highest common divisor of 724, 976, 584, 876 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, 976, 584, 876 i.e 4.
3. How can I use the GCD of 724, 976, 584, 876Calculator?
Out the numbers 724, 976, 584, 876 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.