Online GCD Calculator is useful to find the GCD of 608, 762, 398, 496 quickly. Get the easiest ways to solve the greatest common divisor of 608, 762, 398, 496 i.e 2 in different methods as follows.
Given Input numbers are 608, 762, 398, 496
In the factoring method, we have to find the divisors of all numbers
Divisors of 608 :
The positive integer divisors of 608 that completely divides 608 are.
1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608
Divisors of 762 :
The positive integer divisors of 762 that completely divides 762 are.
1, 2, 3, 6, 127, 254, 381, 762
Divisors of 398 :
The positive integer divisors of 398 that completely divides 398 are.
1, 2, 199, 398
Divisors of 496 :
The positive integer divisors of 496 that completely divides 496 are.
1, 2, 4, 8, 16, 31, 62, 124, 248, 496
GCD of numbers is the greatest common divisor
So, the GCD (608, 762, 398, 496) = 2.
Given numbers are 608, 762, 398, 496
The list of prime factors of all numbers are
Prime factors of 608 are 2 x 2 x 2 x 2 x 2 x 19
Prime factors of 762 are 2 x 3 x 127
Prime factors of 398 are 2 x 199
Prime factors of 496 are 2 x 2 x 2 x 2 x 31
The highest common occurrence is 21
Therefore, GCD of 608, 762, 398, 496 is 2.
Given numbers are 608, 762, 398, 496
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(608, 762) = 231648
GCD(608, 762) = ( 608 x 762 ) / 231648
= 608 / 762
= 608
Step2:
LCM(2, 398) = 398
GCD(2, 398) = ( 2 x 398 ) / 398
= 2 / 398
= 2
Step3:
LCM(2, 496) = 496
GCD(2, 496) = ( 2 x 496 ) / 496
= 2 / 496
= 2
So, Greatest Common Divisor of 608, 762, 398, 496 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 608, 762, 398, 496
The greatest common divisor of numbers 608, 762, 398, 496 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 608, 762, 398, 496 is 2.
1. What is the GCD of 608, 762, 398, 496?
GCD of given numbers 608, 762, 398, 496 is 2
2. How to calculate the greatest common divisor of 608, 762, 398, 496?
We can find the highest common divisor of 608, 762, 398, 496 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 608, 762, 398, 496 i.e 2.
3. How can I use the GCD of 608, 762, 398, 496Calculator?
Out the numbers 608, 762, 398, 496 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.