Online GCD Calculator is useful to find the GCD of 948, 660, 474, 996 quickly. Get the easiest ways to solve the greatest common divisor of 948, 660, 474, 996 i.e 6 in different methods as follows.
Given Input numbers are 948, 660, 474, 996
In the factoring method, we have to find the divisors of all numbers
Divisors of 948 :
The positive integer divisors of 948 that completely divides 948 are.
1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948
Divisors of 660 :
The positive integer divisors of 660 that completely divides 660 are.
1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
Divisors of 474 :
The positive integer divisors of 474 that completely divides 474 are.
1, 2, 3, 6, 79, 158, 237, 474
Divisors of 996 :
The positive integer divisors of 996 that completely divides 996 are.
1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996
GCD of numbers is the greatest common divisor
So, the GCD (948, 660, 474, 996) = 6.
Given numbers are 948, 660, 474, 996
The list of prime factors of all numbers are
Prime factors of 948 are 2 x 2 x 3 x 79
Prime factors of 660 are 2 x 2 x 3 x 5 x 11
Prime factors of 474 are 2 x 3 x 79
Prime factors of 996 are 2 x 2 x 3 x 83
The highest common occurrence is 21 x 31
Therefore, GCD of 948, 660, 474, 996 is 6.
Given numbers are 948, 660, 474, 996
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(948, 660) = 52140
GCD(948, 660) = ( 948 x 660 ) / 52140
= 948 / 660
= 948
Step2:
LCM(12, 474) = 948
GCD(12, 474) = ( 12 x 474 ) / 948
= 12 / 474
= 12
Step3:
LCM(6, 996) = 996
GCD(6, 996) = ( 6 x 996 ) / 996
= 6 / 996
= 6
So, Greatest Common Divisor of 948, 660, 474, 996 is 6
Here are some samples of GCD of Numbers calculations.
Given numbers are 948, 660, 474, 996
The greatest common divisor of numbers 948, 660, 474, 996 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 948, 660, 474, 996 is 6.
1. What is the GCD of 948, 660, 474, 996?
GCD of given numbers 948, 660, 474, 996 is 6
2. How to calculate the greatest common divisor of 948, 660, 474, 996?
We can find the highest common divisor of 948, 660, 474, 996 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 948, 660, 474, 996 i.e 6.
3. How can I use the GCD of 948, 660, 474, 996Calculator?
Out the numbers 948, 660, 474, 996 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.