Online GCD Calculator is useful to find the GCD of 496, 634, 518, 196 quickly. Get the easiest ways to solve the greatest common divisor of 496, 634, 518, 196 i.e 2 in different methods as follows.
Given Input numbers are 496, 634, 518, 196
In the factoring method, we have to find the divisors of all numbers
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 634 :
The positive integer divisors of 634 that completely divides 634 are.
1, 2, 317, 634
Divisors of 518 :
The positive integer divisors of 518 that completely divides 518 are.
1, 2, 7, 14, 37, 74, 259, 518
Divisors of 196 :
The positive integer divisors of 196 that completely divides 196 are.
1, 2, 4, 7, 14, 28, 49, 98, 196
GCD of numbers is the greatest common divisor
So, the GCD (496, 634, 518, 196) = 2.
Given numbers are 496, 634, 518, 196
The list of prime factors of all numbers are
Prime factors of 496 are 2 x 2 x 2 x 2 x 31
Prime factors of 634 are 2 x 317
Prime factors of 518 are 2 x 7 x 37
Prime factors of 196 are 2 x 2 x 7 x 7
The highest common occurrence is 21
Therefore, GCD of 496, 634, 518, 196 is 2.
Given numbers are 496, 634, 518, 196
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(496, 634) = 157232
GCD(496, 634) = ( 496 x 634 ) / 157232
= 496 / 634
= 496
Step2:
LCM(2, 518) = 518
GCD(2, 518) = ( 2 x 518 ) / 518
= 2 / 518
= 2
Step3:
LCM(2, 196) = 196
GCD(2, 196) = ( 2 x 196 ) / 196
= 2 / 196
= 2
So, Greatest Common Divisor of 496, 634, 518, 196 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 496, 634, 518, 196
The greatest common divisor of numbers 496, 634, 518, 196 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 496, 634, 518, 196 is 2.
1. What is the GCD of 496, 634, 518, 196?
GCD of given numbers 496, 634, 518, 196 is 2
2. How to calculate the greatest common divisor of 496, 634, 518, 196?
We can find the highest common divisor of 496, 634, 518, 196 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 496, 634, 518, 196 i.e 2.
3. How can I use the GCD of 496, 634, 518, 196Calculator?
Out the numbers 496, 634, 518, 196 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.