Online GCD Calculator is useful to find the GCD of 424, 838, 874, 264 quickly. Get the easiest ways to solve the greatest common divisor of 424, 838, 874, 264 i.e 2 in different methods as follows.
Given Input numbers are 424, 838, 874, 264
In the factoring method, we have to find the divisors of all numbers
Divisors of 424 :
The positive integer divisors of 424 that completely divides 424 are.
1, 2, 4, 8, 53, 106, 212, 424
Divisors of 838 :
The positive integer divisors of 838 that completely divides 838 are.
1, 2, 419, 838
Divisors of 874 :
The positive integer divisors of 874 that completely divides 874 are.
1, 2, 19, 23, 38, 46, 437, 874
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
GCD of numbers is the greatest common divisor
So, the GCD (424, 838, 874, 264) = 2.
Given numbers are 424, 838, 874, 264
The list of prime factors of all numbers are
Prime factors of 424 are 2 x 2 x 2 x 53
Prime factors of 838 are 2 x 419
Prime factors of 874 are 2 x 19 x 23
Prime factors of 264 are 2 x 2 x 2 x 3 x 11
The highest common occurrence is 21
Therefore, GCD of 424, 838, 874, 264 is 2.
Given numbers are 424, 838, 874, 264
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(424, 838) = 177656
GCD(424, 838) = ( 424 x 838 ) / 177656
= 424 / 838
= 424
Step2:
LCM(2, 874) = 874
GCD(2, 874) = ( 2 x 874 ) / 874
= 2 / 874
= 2
Step3:
LCM(2, 264) = 264
GCD(2, 264) = ( 2 x 264 ) / 264
= 2 / 264
= 2
So, Greatest Common Divisor of 424, 838, 874, 264 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 424, 838, 874, 264
The greatest common divisor of numbers 424, 838, 874, 264 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 424, 838, 874, 264 is 2.
1. What is the GCD of 424, 838, 874, 264?
GCD of given numbers 424, 838, 874, 264 is 2
2. How to calculate the greatest common divisor of 424, 838, 874, 264?
We can find the highest common divisor of 424, 838, 874, 264 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 424, 838, 874, 264 i.e 2.
3. How can I use the GCD of 424, 838, 874, 264Calculator?
Out the numbers 424, 838, 874, 264 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.