Online GCD Calculator is useful to find the GCD of 948, 876, 452, 960 quickly. Get the easiest ways to solve the greatest common divisor of 948, 876, 452, 960 i.e 4 in different methods as follows.
Given Input numbers are 948, 876, 452, 960
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 876 :
The positive integer divisors of 876 that completely divides 876 are.
1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876
Divisors of 452 :
The positive integer divisors of 452 that completely divides 452 are.
1, 2, 4, 113, 226, 452
Divisors of 960 :
The positive integer divisors of 960 that completely divides 960 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960
GCD of numbers is the greatest common divisor
So, the GCD (948, 876, 452, 960) = 4.
Given numbers are 948, 876, 452, 960
The list of prime factors of all numbers are
Prime factors of 948 are 2 x 2 x 3 x 79
Prime factors of 876 are 2 x 2 x 3 x 73
Prime factors of 452 are 2 x 2 x 113
Prime factors of 960 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5
The highest common occurrence is 22
Therefore, GCD of 948, 876, 452, 960 is 4.
Given numbers are 948, 876, 452, 960
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(948, 876) = 69204
GCD(948, 876) = ( 948 x 876 ) / 69204
= 948 / 876
= 948
Step2:
LCM(12, 452) = 1356
GCD(12, 452) = ( 12 x 452 ) / 1356
= 12 / 452
= 12
Step3:
LCM(4, 960) = 960
GCD(4, 960) = ( 4 x 960 ) / 960
= 4 / 960
= 4
So, Greatest Common Divisor of 948, 876, 452, 960 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 948, 876, 452, 960
The greatest common divisor of numbers 948, 876, 452, 960 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 948, 876, 452, 960 is 4.
1. What is the GCD of 948, 876, 452, 960?
GCD of given numbers 948, 876, 452, 960 is 4
2. How to calculate the greatest common divisor of 948, 876, 452, 960?
We can find the highest common divisor of 948, 876, 452, 960 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, 876, 452, 960 i.e 4.
3. How can I use the GCD of 948, 876, 452, 960Calculator?
Out the numbers 948, 876, 452, 960 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.