Online GCD Calculator is useful to find the GCD of 858, 742, 576, 538 quickly. Get the easiest ways to solve the greatest common divisor of 858, 742, 576, 538 i.e 2 in different methods as follows.
Given Input numbers are 858, 742, 576, 538
In the factoring method, we have to find the divisors of all numbers
Divisors of 858 :
The positive integer divisors of 858 that completely divides 858 are.
1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
Divisors of 742 :
The positive integer divisors of 742 that completely divides 742 are.
1, 2, 7, 14, 53, 106, 371, 742
Divisors of 576 :
The positive integer divisors of 576 that completely divides 576 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576
Divisors of 538 :
The positive integer divisors of 538 that completely divides 538 are.
1, 2, 269, 538
GCD of numbers is the greatest common divisor
So, the GCD (858, 742, 576, 538) = 2.
Given numbers are 858, 742, 576, 538
The list of prime factors of all numbers are
Prime factors of 858 are 2 x 3 x 11 x 13
Prime factors of 742 are 2 x 7 x 53
Prime factors of 576 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3
Prime factors of 538 are 2 x 269
The highest common occurrence is 21
Therefore, GCD of 858, 742, 576, 538 is 2.
Given numbers are 858, 742, 576, 538
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(858, 742) = 318318
GCD(858, 742) = ( 858 x 742 ) / 318318
= 858 / 742
= 858
Step2:
LCM(2, 576) = 576
GCD(2, 576) = ( 2 x 576 ) / 576
= 2 / 576
= 2
Step3:
LCM(2, 538) = 538
GCD(2, 538) = ( 2 x 538 ) / 538
= 2 / 538
= 2
So, Greatest Common Divisor of 858, 742, 576, 538 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 858, 742, 576, 538
The greatest common divisor of numbers 858, 742, 576, 538 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 858, 742, 576, 538 is 2.
1. What is the GCD of 858, 742, 576, 538?
GCD of given numbers 858, 742, 576, 538 is 2
2. How to calculate the greatest common divisor of 858, 742, 576, 538?
We can find the highest common divisor of 858, 742, 576, 538 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 858, 742, 576, 538 i.e 2.
3. How can I use the GCD of 858, 742, 576, 538Calculator?
Out the numbers 858, 742, 576, 538 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.