Online GCD Calculator is useful to find the GCD of 794, 664, 574, 264 quickly. Get the easiest ways to solve the greatest common divisor of 794, 664, 574, 264 i.e 2 in different methods as follows.
Given Input numbers are 794, 664, 574, 264
In the factoring method, we have to find the divisors of all numbers
Divisors of 794 :
The positive integer divisors of 794 that completely divides 794 are.
1, 2, 397, 794
Divisors of 664 :
The positive integer divisors of 664 that completely divides 664 are.
1, 2, 4, 8, 83, 166, 332, 664
Divisors of 574 :
The positive integer divisors of 574 that completely divides 574 are.
1, 2, 7, 14, 41, 82, 287, 574
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 (794, 664, 574, 264) = 2.
Given numbers are 794, 664, 574, 264
The list of prime factors of all numbers are
Prime factors of 794 are 2 x 397
Prime factors of 664 are 2 x 2 x 2 x 83
Prime factors of 574 are 2 x 7 x 41
Prime factors of 264 are 2 x 2 x 2 x 3 x 11
The highest common occurrence is 21
Therefore, GCD of 794, 664, 574, 264 is 2.
Given numbers are 794, 664, 574, 264
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(794, 664) = 263608
GCD(794, 664) = ( 794 x 664 ) / 263608
= 794 / 664
= 794
Step2:
LCM(2, 574) = 574
GCD(2, 574) = ( 2 x 574 ) / 574
= 2 / 574
= 2
Step3:
LCM(2, 264) = 264
GCD(2, 264) = ( 2 x 264 ) / 264
= 2 / 264
= 2
So, Greatest Common Divisor of 794, 664, 574, 264 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 794, 664, 574, 264
The greatest common divisor of numbers 794, 664, 574, 264 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 794, 664, 574, 264 is 2.
1. What is the GCD of 794, 664, 574, 264?
GCD of given numbers 794, 664, 574, 264 is 2
2. How to calculate the greatest common divisor of 794, 664, 574, 264?
We can find the highest common divisor of 794, 664, 574, 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 794, 664, 574, 264 i.e 2.
3. How can I use the GCD of 794, 664, 574, 264Calculator?
Out the numbers 794, 664, 574, 264 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.