Online GCD Calculator is useful to find the GCD of 490, 908, 968, 824 quickly. Get the easiest ways to solve the greatest common divisor of 490, 908, 968, 824 i.e 2 in different methods as follows.
Given Input numbers are 490, 908, 968, 824
In the factoring method, we have to find the divisors of all numbers
Divisors of 490 :
The positive integer divisors of 490 that completely divides 490 are.
1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490
Divisors of 908 :
The positive integer divisors of 908 that completely divides 908 are.
1, 2, 4, 227, 454, 908
Divisors of 968 :
The positive integer divisors of 968 that completely divides 968 are.
1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
Divisors of 824 :
The positive integer divisors of 824 that completely divides 824 are.
1, 2, 4, 8, 103, 206, 412, 824
GCD of numbers is the greatest common divisor
So, the GCD (490, 908, 968, 824) = 2.
Given numbers are 490, 908, 968, 824
The list of prime factors of all numbers are
Prime factors of 490 are 2 x 5 x 7 x 7
Prime factors of 908 are 2 x 2 x 227
Prime factors of 968 are 2 x 2 x 2 x 11 x 11
Prime factors of 824 are 2 x 2 x 2 x 103
The highest common occurrence is 21
Therefore, GCD of 490, 908, 968, 824 is 2.
Given numbers are 490, 908, 968, 824
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(490, 908) = 222460
GCD(490, 908) = ( 490 x 908 ) / 222460
= 490 / 908
= 490
Step2:
LCM(2, 968) = 968
GCD(2, 968) = ( 2 x 968 ) / 968
= 2 / 968
= 2
Step3:
LCM(2, 824) = 824
GCD(2, 824) = ( 2 x 824 ) / 824
= 2 / 824
= 2
So, Greatest Common Divisor of 490, 908, 968, 824 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 490, 908, 968, 824
The greatest common divisor of numbers 490, 908, 968, 824 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 490, 908, 968, 824 is 2.
1. What is the GCD of 490, 908, 968, 824?
GCD of given numbers 490, 908, 968, 824 is 2
2. How to calculate the greatest common divisor of 490, 908, 968, 824?
We can find the highest common divisor of 490, 908, 968, 824 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 490, 908, 968, 824 i.e 2.
3. How can I use the GCD of 490, 908, 968, 824Calculator?
Out the numbers 490, 908, 968, 824 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.