Online GCD Calculator is useful to find the GCD of 460, 572, 700, 394 quickly. Get the easiest ways to solve the greatest common divisor of 460, 572, 700, 394 i.e 2 in different methods as follows.
Given Input numbers are 460, 572, 700, 394
In the factoring method, we have to find the divisors of all numbers
Divisors of 460 :
The positive integer divisors of 460 that completely divides 460 are.
1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
Divisors of 572 :
The positive integer divisors of 572 that completely divides 572 are.
1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
Divisors of 700 :
The positive integer divisors of 700 that completely divides 700 are.
1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700
Divisors of 394 :
The positive integer divisors of 394 that completely divides 394 are.
1, 2, 197, 394
GCD of numbers is the greatest common divisor
So, the GCD (460, 572, 700, 394) = 2.
Given numbers are 460, 572, 700, 394
The list of prime factors of all numbers are
Prime factors of 460 are 2 x 2 x 5 x 23
Prime factors of 572 are 2 x 2 x 11 x 13
Prime factors of 700 are 2 x 2 x 5 x 5 x 7
Prime factors of 394 are 2 x 197
The highest common occurrence is 21
Therefore, GCD of 460, 572, 700, 394 is 2.
Given numbers are 460, 572, 700, 394
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(460, 572) = 65780
GCD(460, 572) = ( 460 x 572 ) / 65780
= 460 / 572
= 460
Step2:
LCM(4, 700) = 700
GCD(4, 700) = ( 4 x 700 ) / 700
= 4 / 700
= 4
Step3:
LCM(4, 394) = 788
GCD(4, 394) = ( 4 x 394 ) / 788
= 4 / 394
= 4
So, Greatest Common Divisor of 460, 572, 700, 394 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 460, 572, 700, 394
The greatest common divisor of numbers 460, 572, 700, 394 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 460, 572, 700, 394 is 2.
1. What is the GCD of 460, 572, 700, 394?
GCD of given numbers 460, 572, 700, 394 is 2
2. How to calculate the greatest common divisor of 460, 572, 700, 394?
We can find the highest common divisor of 460, 572, 700, 394 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 460, 572, 700, 394 i.e 2.
3. How can I use the GCD of 460, 572, 700, 394Calculator?
Out the numbers 460, 572, 700, 394 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.