Online GCD Calculator is useful to find the GCD of 976, 584, 124, 468 quickly. Get the easiest ways to solve the greatest common divisor of 976, 584, 124, 468 i.e 4 in different methods as follows.
Given Input numbers are 976, 584, 124, 468
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 584 :
The positive integer divisors of 584 that completely divides 584 are.
1, 2, 4, 8, 73, 146, 292, 584
Divisors of 124 :
The positive integer divisors of 124 that completely divides 124 are.
1, 2, 4, 31, 62, 124
Divisors of 468 :
The positive integer divisors of 468 that completely divides 468 are.
1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
GCD of numbers is the greatest common divisor
So, the GCD (976, 584, 124, 468) = 4.
Given numbers are 976, 584, 124, 468
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 584 are 2 x 2 x 2 x 73
Prime factors of 124 are 2 x 2 x 31
Prime factors of 468 are 2 x 2 x 3 x 3 x 13
The highest common occurrence is 22
Therefore, GCD of 976, 584, 124, 468 is 4.
Given numbers are 976, 584, 124, 468
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(976, 584) = 71248
GCD(976, 584) = ( 976 x 584 ) / 71248
= 976 / 584
= 976
Step2:
LCM(8, 124) = 248
GCD(8, 124) = ( 8 x 124 ) / 248
= 8 / 124
= 8
Step3:
LCM(4, 468) = 468
GCD(4, 468) = ( 4 x 468 ) / 468
= 4 / 468
= 4
So, Greatest Common Divisor of 976, 584, 124, 468 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 976, 584, 124, 468
The greatest common divisor of numbers 976, 584, 124, 468 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 976, 584, 124, 468 is 4.
1. What is the GCD of 976, 584, 124, 468?
GCD of given numbers 976, 584, 124, 468 is 4
2. How to calculate the greatest common divisor of 976, 584, 124, 468?
We can find the highest common divisor of 976, 584, 124, 468 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, 584, 124, 468 i.e 4.
3. How can I use the GCD of 976, 584, 124, 468Calculator?
Out the numbers 976, 584, 124, 468 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.