Online GCD Calculator is useful to find the GCD of 868, 264, 948, 440 quickly. Get the easiest ways to solve the greatest common divisor of 868, 264, 948, 440 i.e 4 in different methods as follows.
Given Input numbers are 868, 264, 948, 440
In the factoring method, we have to find the divisors of all numbers
Divisors of 868 :
The positive integer divisors of 868 that completely divides 868 are.
1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868
Divisors of 264 :
The positive integer divisors of 264 that completely divides 264 are.
1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
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 440 :
The positive integer divisors of 440 that completely divides 440 are.
1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440
GCD of numbers is the greatest common divisor
So, the GCD (868, 264, 948, 440) = 4.
Given numbers are 868, 264, 948, 440
The list of prime factors of all numbers are
Prime factors of 868 are 2 x 2 x 7 x 31
Prime factors of 264 are 2 x 2 x 2 x 3 x 11
Prime factors of 948 are 2 x 2 x 3 x 79
Prime factors of 440 are 2 x 2 x 2 x 5 x 11
The highest common occurrence is 22
Therefore, GCD of 868, 264, 948, 440 is 4.
Given numbers are 868, 264, 948, 440
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(868, 264) = 57288
GCD(868, 264) = ( 868 x 264 ) / 57288
= 868 / 264
= 868
Step2:
LCM(4, 948) = 948
GCD(4, 948) = ( 4 x 948 ) / 948
= 4 / 948
= 4
Step3:
LCM(4, 440) = 440
GCD(4, 440) = ( 4 x 440 ) / 440
= 4 / 440
= 4
So, Greatest Common Divisor of 868, 264, 948, 440 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 868, 264, 948, 440
The greatest common divisor of numbers 868, 264, 948, 440 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 868, 264, 948, 440 is 4.
1. What is the GCD of 868, 264, 948, 440?
GCD of given numbers 868, 264, 948, 440 is 4
2. How to calculate the greatest common divisor of 868, 264, 948, 440?
We can find the highest common divisor of 868, 264, 948, 440 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 868, 264, 948, 440 i.e 4.
3. How can I use the GCD of 868, 264, 948, 440Calculator?
Out the numbers 868, 264, 948, 440 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.