Online GCD Calculator is useful to find the GCD of 948, 522, 878, 748 quickly. Get the easiest ways to solve the greatest common divisor of 948, 522, 878, 748 i.e 2 in different methods as follows.
Given Input numbers are 948, 522, 878, 748
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 522 :
The positive integer divisors of 522 that completely divides 522 are.
1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522
Divisors of 878 :
The positive integer divisors of 878 that completely divides 878 are.
1, 2, 439, 878
Divisors of 748 :
The positive integer divisors of 748 that completely divides 748 are.
1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
GCD of numbers is the greatest common divisor
So, the GCD (948, 522, 878, 748) = 2.
Given numbers are 948, 522, 878, 748
The list of prime factors of all numbers are
Prime factors of 948 are 2 x 2 x 3 x 79
Prime factors of 522 are 2 x 3 x 3 x 29
Prime factors of 878 are 2 x 439
Prime factors of 748 are 2 x 2 x 11 x 17
The highest common occurrence is 21
Therefore, GCD of 948, 522, 878, 748 is 2.
Given numbers are 948, 522, 878, 748
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(948, 522) = 82476
GCD(948, 522) = ( 948 x 522 ) / 82476
= 948 / 522
= 948
Step2:
LCM(6, 878) = 2634
GCD(6, 878) = ( 6 x 878 ) / 2634
= 6 / 878
= 6
Step3:
LCM(2, 748) = 748
GCD(2, 748) = ( 2 x 748 ) / 748
= 2 / 748
= 2
So, Greatest Common Divisor of 948, 522, 878, 748 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 948, 522, 878, 748
The greatest common divisor of numbers 948, 522, 878, 748 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 948, 522, 878, 748 is 2.
1. What is the GCD of 948, 522, 878, 748?
GCD of given numbers 948, 522, 878, 748 is 2
2. How to calculate the greatest common divisor of 948, 522, 878, 748?
We can find the highest common divisor of 948, 522, 878, 748 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, 522, 878, 748 i.e 2.
3. How can I use the GCD of 948, 522, 878, 748Calculator?
Out the numbers 948, 522, 878, 748 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.