Online GCD Calculator is useful to find the GCD of 524, 686, 858, 358 quickly. Get the easiest ways to solve the greatest common divisor of 524, 686, 858, 358 i.e 2 in different methods as follows.
Given Input numbers are 524, 686, 858, 358
In the factoring method, we have to find the divisors of all numbers
Divisors of 524 :
The positive integer divisors of 524 that completely divides 524 are.
1, 2, 4, 131, 262, 524
Divisors of 686 :
The positive integer divisors of 686 that completely divides 686 are.
1, 2, 7, 14, 49, 98, 343, 686
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 358 :
The positive integer divisors of 358 that completely divides 358 are.
1, 2, 179, 358
GCD of numbers is the greatest common divisor
So, the GCD (524, 686, 858, 358) = 2.
Given numbers are 524, 686, 858, 358
The list of prime factors of all numbers are
Prime factors of 524 are 2 x 2 x 131
Prime factors of 686 are 2 x 7 x 7 x 7
Prime factors of 858 are 2 x 3 x 11 x 13
Prime factors of 358 are 2 x 179
The highest common occurrence is 21
Therefore, GCD of 524, 686, 858, 358 is 2.
Given numbers are 524, 686, 858, 358
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(524, 686) = 179732
GCD(524, 686) = ( 524 x 686 ) / 179732
= 524 / 686
= 524
Step2:
LCM(2, 858) = 858
GCD(2, 858) = ( 2 x 858 ) / 858
= 2 / 858
= 2
Step3:
LCM(2, 358) = 358
GCD(2, 358) = ( 2 x 358 ) / 358
= 2 / 358
= 2
So, Greatest Common Divisor of 524, 686, 858, 358 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 524, 686, 858, 358
The greatest common divisor of numbers 524, 686, 858, 358 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 524, 686, 858, 358 is 2.
1. What is the GCD of 524, 686, 858, 358?
GCD of given numbers 524, 686, 858, 358 is 2
2. How to calculate the greatest common divisor of 524, 686, 858, 358?
We can find the highest common divisor of 524, 686, 858, 358 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 524, 686, 858, 358 i.e 2.
3. How can I use the GCD of 524, 686, 858, 358Calculator?
Out the numbers 524, 686, 858, 358 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.