Online GCD Calculator is useful to find the GCD of 564, 962, 524, 308 quickly. Get the easiest ways to solve the greatest common divisor of 564, 962, 524, 308 i.e 2 in different methods as follows.
Given Input numbers are 564, 962, 524, 308
In the factoring method, we have to find the divisors of all numbers
Divisors of 564 :
The positive integer divisors of 564 that completely divides 564 are.
1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
Divisors of 962 :
The positive integer divisors of 962 that completely divides 962 are.
1, 2, 13, 26, 37, 74, 481, 962
Divisors of 524 :
The positive integer divisors of 524 that completely divides 524 are.
1, 2, 4, 131, 262, 524
Divisors of 308 :
The positive integer divisors of 308 that completely divides 308 are.
1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
GCD of numbers is the greatest common divisor
So, the GCD (564, 962, 524, 308) = 2.
Given numbers are 564, 962, 524, 308
The list of prime factors of all numbers are
Prime factors of 564 are 2 x 2 x 3 x 47
Prime factors of 962 are 2 x 13 x 37
Prime factors of 524 are 2 x 2 x 131
Prime factors of 308 are 2 x 2 x 7 x 11
The highest common occurrence is 21
Therefore, GCD of 564, 962, 524, 308 is 2.
Given numbers are 564, 962, 524, 308
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(564, 962) = 271284
GCD(564, 962) = ( 564 x 962 ) / 271284
= 564 / 962
= 564
Step2:
LCM(2, 524) = 524
GCD(2, 524) = ( 2 x 524 ) / 524
= 2 / 524
= 2
Step3:
LCM(2, 308) = 308
GCD(2, 308) = ( 2 x 308 ) / 308
= 2 / 308
= 2
So, Greatest Common Divisor of 564, 962, 524, 308 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 564, 962, 524, 308
The greatest common divisor of numbers 564, 962, 524, 308 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 564, 962, 524, 308 is 2.
1. What is the GCD of 564, 962, 524, 308?
GCD of given numbers 564, 962, 524, 308 is 2
2. How to calculate the greatest common divisor of 564, 962, 524, 308?
We can find the highest common divisor of 564, 962, 524, 308 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 564, 962, 524, 308 i.e 2.
3. How can I use the GCD of 564, 962, 524, 308Calculator?
Out the numbers 564, 962, 524, 308 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.