Online GCD Calculator is useful to find the GCD of 500, 956, 972, 344 quickly. Get the easiest ways to solve the greatest common divisor of 500, 956, 972, 344 i.e 4 in different methods as follows.
Given Input numbers are 500, 956, 972, 344
In the factoring method, we have to find the divisors of all numbers
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 956 :
The positive integer divisors of 956 that completely divides 956 are.
1, 2, 4, 239, 478, 956
Divisors of 972 :
The positive integer divisors of 972 that completely divides 972 are.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
Divisors of 344 :
The positive integer divisors of 344 that completely divides 344 are.
1, 2, 4, 8, 43, 86, 172, 344
GCD of numbers is the greatest common divisor
So, the GCD (500, 956, 972, 344) = 4.
Given numbers are 500, 956, 972, 344
The list of prime factors of all numbers are
Prime factors of 500 are 2 x 2 x 5 x 5 x 5
Prime factors of 956 are 2 x 2 x 239
Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3
Prime factors of 344 are 2 x 2 x 2 x 43
The highest common occurrence is 22
Therefore, GCD of 500, 956, 972, 344 is 4.
Given numbers are 500, 956, 972, 344
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(500, 956) = 119500
GCD(500, 956) = ( 500 x 956 ) / 119500
= 500 / 956
= 500
Step2:
LCM(4, 972) = 972
GCD(4, 972) = ( 4 x 972 ) / 972
= 4 / 972
= 4
Step3:
LCM(4, 344) = 344
GCD(4, 344) = ( 4 x 344 ) / 344
= 4 / 344
= 4
So, Greatest Common Divisor of 500, 956, 972, 344 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 500, 956, 972, 344
The greatest common divisor of numbers 500, 956, 972, 344 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 500, 956, 972, 344 is 4.
1. What is the GCD of 500, 956, 972, 344?
GCD of given numbers 500, 956, 972, 344 is 4
2. How to calculate the greatest common divisor of 500, 956, 972, 344?
We can find the highest common divisor of 500, 956, 972, 344 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 500, 956, 972, 344 i.e 4.
3. How can I use the GCD of 500, 956, 972, 344Calculator?
Out the numbers 500, 956, 972, 344 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.