Online GCD Calculator is useful to find the GCD of 588, 316, 740, 776 quickly. Get the easiest ways to solve the greatest common divisor of 588, 316, 740, 776 i.e 4 in different methods as follows.
Given Input numbers are 588, 316, 740, 776
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 316 :
The positive integer divisors of 316 that completely divides 316 are.
1, 2, 4, 79, 158, 316
Divisors of 740 :
The positive integer divisors of 740 that completely divides 740 are.
1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740
Divisors of 776 :
The positive integer divisors of 776 that completely divides 776 are.
1, 2, 4, 8, 97, 194, 388, 776
GCD of numbers is the greatest common divisor
So, the GCD (588, 316, 740, 776) = 4.
Given numbers are 588, 316, 740, 776
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 316 are 2 x 2 x 79
Prime factors of 740 are 2 x 2 x 5 x 37
Prime factors of 776 are 2 x 2 x 2 x 97
The highest common occurrence is 22
Therefore, GCD of 588, 316, 740, 776 is 4.
Given numbers are 588, 316, 740, 776
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(588, 316) = 46452
GCD(588, 316) = ( 588 x 316 ) / 46452
= 588 / 316
= 588
Step2:
LCM(4, 740) = 740
GCD(4, 740) = ( 4 x 740 ) / 740
= 4 / 740
= 4
Step3:
LCM(4, 776) = 776
GCD(4, 776) = ( 4 x 776 ) / 776
= 4 / 776
= 4
So, Greatest Common Divisor of 588, 316, 740, 776 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 588, 316, 740, 776
The greatest common divisor of numbers 588, 316, 740, 776 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 588, 316, 740, 776 is 4.
1. What is the GCD of 588, 316, 740, 776?
GCD of given numbers 588, 316, 740, 776 is 4
2. How to calculate the greatest common divisor of 588, 316, 740, 776?
We can find the highest common divisor of 588, 316, 740, 776 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, 316, 740, 776 i.e 4.
3. How can I use the GCD of 588, 316, 740, 776Calculator?
Out the numbers 588, 316, 740, 776 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.