Online GCD Calculator is useful to find the GCD of 976, 240, 956, 216 quickly. Get the easiest ways to solve the greatest common divisor of 976, 240, 956, 216 i.e 4 in different methods as follows.
Given Input numbers are 976, 240, 956, 216
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 240 :
The positive integer divisors of 240 that completely divides 240 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
Divisors of 956 :
The positive integer divisors of 956 that completely divides 956 are.
1, 2, 4, 239, 478, 956
Divisors of 216 :
The positive integer divisors of 216 that completely divides 216 are.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
GCD of numbers is the greatest common divisor
So, the GCD (976, 240, 956, 216) = 4.
Given numbers are 976, 240, 956, 216
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 240 are 2 x 2 x 2 x 2 x 3 x 5
Prime factors of 956 are 2 x 2 x 239
Prime factors of 216 are 2 x 2 x 2 x 3 x 3 x 3
The highest common occurrence is 22
Therefore, GCD of 976, 240, 956, 216 is 4.
Given numbers are 976, 240, 956, 216
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(976, 240) = 14640
GCD(976, 240) = ( 976 x 240 ) / 14640
= 976 / 240
= 976
Step2:
LCM(16, 956) = 3824
GCD(16, 956) = ( 16 x 956 ) / 3824
= 16 / 956
= 16
Step3:
LCM(4, 216) = 216
GCD(4, 216) = ( 4 x 216 ) / 216
= 4 / 216
= 4
So, Greatest Common Divisor of 976, 240, 956, 216 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 976, 240, 956, 216
The greatest common divisor of numbers 976, 240, 956, 216 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 976, 240, 956, 216 is 4.
1. What is the GCD of 976, 240, 956, 216?
GCD of given numbers 976, 240, 956, 216 is 4
2. How to calculate the greatest common divisor of 976, 240, 956, 216?
We can find the highest common divisor of 976, 240, 956, 216 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, 240, 956, 216 i.e 4.
3. How can I use the GCD of 976, 240, 956, 216Calculator?
Out the numbers 976, 240, 956, 216 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.