Online GCD Calculator is useful to find the GCD of 588, 760, 496, 936 quickly. Get the easiest ways to solve the greatest common divisor of 588, 760, 496, 936 i.e 4 in different methods as follows.
Given Input numbers are 588, 760, 496, 936
In the factoring method, we have to find the divisors of all numbers
Divisors of 588 :
The positive integer divisors of 588 that completely divides 588 are.
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
Divisors of 760 :
The positive integer divisors of 760 that completely divides 760 are.
1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
Divisors of 496 :
The positive integer divisors of 496 that completely divides 496 are.
1, 2, 4, 8, 16, 31, 62, 124, 248, 496
Divisors of 936 :
The positive integer divisors of 936 that completely divides 936 are.
1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936
GCD of numbers is the greatest common divisor
So, the GCD (588, 760, 496, 936) = 4.
Given numbers are 588, 760, 496, 936
The list of prime factors of all numbers are
Prime factors of 588 are 2 x 2 x 3 x 7 x 7
Prime factors of 760 are 2 x 2 x 2 x 5 x 19
Prime factors of 496 are 2 x 2 x 2 x 2 x 31
Prime factors of 936 are 2 x 2 x 2 x 3 x 3 x 13
The highest common occurrence is 22
Therefore, GCD of 588, 760, 496, 936 is 4.
Given numbers are 588, 760, 496, 936
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(588, 760) = 111720
GCD(588, 760) = ( 588 x 760 ) / 111720
= 588 / 760
= 588
Step2:
LCM(4, 496) = 496
GCD(4, 496) = ( 4 x 496 ) / 496
= 4 / 496
= 4
Step3:
LCM(4, 936) = 936
GCD(4, 936) = ( 4 x 936 ) / 936
= 4 / 936
= 4
So, Greatest Common Divisor of 588, 760, 496, 936 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 588, 760, 496, 936
The greatest common divisor of numbers 588, 760, 496, 936 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 588, 760, 496, 936 is 4.
1. What is the GCD of 588, 760, 496, 936?
GCD of given numbers 588, 760, 496, 936 is 4
2. How to calculate the greatest common divisor of 588, 760, 496, 936?
We can find the highest common divisor of 588, 760, 496, 936 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 588, 760, 496, 936 i.e 4.
3. How can I use the GCD of 588, 760, 496, 936Calculator?
Out the numbers 588, 760, 496, 936 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.