Online GCD Calculator is useful to find the GCD of 762, 162, 718, 508 quickly. Get the easiest ways to solve the greatest common divisor of 762, 162, 718, 508 i.e 2 in different methods as follows.
Given Input numbers are 762, 162, 718, 508
In the factoring method, we have to find the divisors of all numbers
Divisors of 762 :
The positive integer divisors of 762 that completely divides 762 are.
1, 2, 3, 6, 127, 254, 381, 762
Divisors of 162 :
The positive integer divisors of 162 that completely divides 162 are.
1, 2, 3, 6, 9, 18, 27, 54, 81, 162
Divisors of 718 :
The positive integer divisors of 718 that completely divides 718 are.
1, 2, 359, 718
Divisors of 508 :
The positive integer divisors of 508 that completely divides 508 are.
1, 2, 4, 127, 254, 508
GCD of numbers is the greatest common divisor
So, the GCD (762, 162, 718, 508) = 2.
Given numbers are 762, 162, 718, 508
The list of prime factors of all numbers are
Prime factors of 762 are 2 x 3 x 127
Prime factors of 162 are 2 x 3 x 3 x 3 x 3
Prime factors of 718 are 2 x 359
Prime factors of 508 are 2 x 2 x 127
The highest common occurrence is 21
Therefore, GCD of 762, 162, 718, 508 is 2.
Given numbers are 762, 162, 718, 508
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(762, 162) = 20574
GCD(762, 162) = ( 762 x 162 ) / 20574
= 762 / 162
= 762
Step2:
LCM(6, 718) = 2154
GCD(6, 718) = ( 6 x 718 ) / 2154
= 6 / 718
= 6
Step3:
LCM(2, 508) = 508
GCD(2, 508) = ( 2 x 508 ) / 508
= 2 / 508
= 2
So, Greatest Common Divisor of 762, 162, 718, 508 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 762, 162, 718, 508
The greatest common divisor of numbers 762, 162, 718, 508 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 762, 162, 718, 508 is 2.
1. What is the GCD of 762, 162, 718, 508?
GCD of given numbers 762, 162, 718, 508 is 2
2. How to calculate the greatest common divisor of 762, 162, 718, 508?
We can find the highest common divisor of 762, 162, 718, 508 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 762, 162, 718, 508 i.e 2.
3. How can I use the GCD of 762, 162, 718, 508Calculator?
Out the numbers 762, 162, 718, 508 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.