Online GCD Calculator is useful to find the GCD of 536, 680, 366, 658 quickly. Get the easiest ways to solve the greatest common divisor of 536, 680, 366, 658 i.e 2 in different methods as follows.
Given Input numbers are 536, 680, 366, 658
In the factoring method, we have to find the divisors of all numbers
Divisors of 536 :
The positive integer divisors of 536 that completely divides 536 are.
1, 2, 4, 8, 67, 134, 268, 536
Divisors of 680 :
The positive integer divisors of 680 that completely divides 680 are.
1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
Divisors of 366 :
The positive integer divisors of 366 that completely divides 366 are.
1, 2, 3, 6, 61, 122, 183, 366
Divisors of 658 :
The positive integer divisors of 658 that completely divides 658 are.
1, 2, 7, 14, 47, 94, 329, 658
GCD of numbers is the greatest common divisor
So, the GCD (536, 680, 366, 658) = 2.
Given numbers are 536, 680, 366, 658
The list of prime factors of all numbers are
Prime factors of 536 are 2 x 2 x 2 x 67
Prime factors of 680 are 2 x 2 x 2 x 5 x 17
Prime factors of 366 are 2 x 3 x 61
Prime factors of 658 are 2 x 7 x 47
The highest common occurrence is 21
Therefore, GCD of 536, 680, 366, 658 is 2.
Given numbers are 536, 680, 366, 658
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(536, 680) = 45560
GCD(536, 680) = ( 536 x 680 ) / 45560
= 536 / 680
= 536
Step2:
LCM(8, 366) = 1464
GCD(8, 366) = ( 8 x 366 ) / 1464
= 8 / 366
= 8
Step3:
LCM(2, 658) = 658
GCD(2, 658) = ( 2 x 658 ) / 658
= 2 / 658
= 2
So, Greatest Common Divisor of 536, 680, 366, 658 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 536, 680, 366, 658
The greatest common divisor of numbers 536, 680, 366, 658 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 536, 680, 366, 658 is 2.
1. What is the GCD of 536, 680, 366, 658?
GCD of given numbers 536, 680, 366, 658 is 2
2. How to calculate the greatest common divisor of 536, 680, 366, 658?
We can find the highest common divisor of 536, 680, 366, 658 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 536, 680, 366, 658 i.e 2.
3. How can I use the GCD of 536, 680, 366, 658Calculator?
Out the numbers 536, 680, 366, 658 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.