Online GCD Calculator is useful to find the GCD of 976, 826, 500, 580 quickly. Get the easiest ways to solve the greatest common divisor of 976, 826, 500, 580 i.e 2 in different methods as follows.
Given Input numbers are 976, 826, 500, 580
In the factoring method, we have to find the divisors of all numbers
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 826 :
The positive integer divisors of 826 that completely divides 826 are.
1, 2, 7, 14, 59, 118, 413, 826
Divisors of 500 :
The positive integer divisors of 500 that completely divides 500 are.
1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500
Divisors of 580 :
The positive integer divisors of 580 that completely divides 580 are.
1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580
GCD of numbers is the greatest common divisor
So, the GCD (976, 826, 500, 580) = 2.
Given numbers are 976, 826, 500, 580
The list of prime factors of all numbers are
Prime factors of 976 are 2 x 2 x 2 x 2 x 61
Prime factors of 826 are 2 x 7 x 59
Prime factors of 500 are 2 x 2 x 5 x 5 x 5
Prime factors of 580 are 2 x 2 x 5 x 29
The highest common occurrence is 21
Therefore, GCD of 976, 826, 500, 580 is 2.
Given numbers are 976, 826, 500, 580
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(976, 826) = 403088
GCD(976, 826) = ( 976 x 826 ) / 403088
= 976 / 826
= 976
Step2:
LCM(2, 500) = 500
GCD(2, 500) = ( 2 x 500 ) / 500
= 2 / 500
= 2
Step3:
LCM(2, 580) = 580
GCD(2, 580) = ( 2 x 580 ) / 580
= 2 / 580
= 2
So, Greatest Common Divisor of 976, 826, 500, 580 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 976, 826, 500, 580
The greatest common divisor of numbers 976, 826, 500, 580 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 976, 826, 500, 580 is 2.
1. What is the GCD of 976, 826, 500, 580?
GCD of given numbers 976, 826, 500, 580 is 2
2. How to calculate the greatest common divisor of 976, 826, 500, 580?
We can find the highest common divisor of 976, 826, 500, 580 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 976, 826, 500, 580 i.e 2.
3. How can I use the GCD of 976, 826, 500, 580Calculator?
Out the numbers 976, 826, 500, 580 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.