Online GCD Calculator is useful to find the GCD of 508, 694, 796, 362 quickly. Get the easiest ways to solve the greatest common divisor of 508, 694, 796, 362 i.e 2 in different methods as follows.
Given Input numbers are 508, 694, 796, 362
In the factoring method, we have to find the divisors of all numbers
Divisors of 508 :
The positive integer divisors of 508 that completely divides 508 are.
1, 2, 4, 127, 254, 508
Divisors of 694 :
The positive integer divisors of 694 that completely divides 694 are.
1, 2, 347, 694
Divisors of 796 :
The positive integer divisors of 796 that completely divides 796 are.
1, 2, 4, 199, 398, 796
Divisors of 362 :
The positive integer divisors of 362 that completely divides 362 are.
1, 2, 181, 362
GCD of numbers is the greatest common divisor
So, the GCD (508, 694, 796, 362) = 2.
Given numbers are 508, 694, 796, 362
The list of prime factors of all numbers are
Prime factors of 508 are 2 x 2 x 127
Prime factors of 694 are 2 x 347
Prime factors of 796 are 2 x 2 x 199
Prime factors of 362 are 2 x 181
The highest common occurrence is 21
Therefore, GCD of 508, 694, 796, 362 is 2.
Given numbers are 508, 694, 796, 362
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(508, 694) = 176276
GCD(508, 694) = ( 508 x 694 ) / 176276
= 508 / 694
= 508
Step2:
LCM(2, 796) = 796
GCD(2, 796) = ( 2 x 796 ) / 796
= 2 / 796
= 2
Step3:
LCM(2, 362) = 362
GCD(2, 362) = ( 2 x 362 ) / 362
= 2 / 362
= 2
So, Greatest Common Divisor of 508, 694, 796, 362 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 508, 694, 796, 362
The greatest common divisor of numbers 508, 694, 796, 362 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 508, 694, 796, 362 is 2.
1. What is the GCD of 508, 694, 796, 362?
GCD of given numbers 508, 694, 796, 362 is 2
2. How to calculate the greatest common divisor of 508, 694, 796, 362?
We can find the highest common divisor of 508, 694, 796, 362 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 508, 694, 796, 362 i.e 2.
3. How can I use the GCD of 508, 694, 796, 362Calculator?
Out the numbers 508, 694, 796, 362 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.