Online GCD Calculator is useful to find the GCD of 490, 374, 318, 868 quickly. Get the easiest ways to solve the greatest common divisor of 490, 374, 318, 868 i.e 2 in different methods as follows.
Given Input numbers are 490, 374, 318, 868
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 374 :
The positive integer divisors of 374 that completely divides 374 are.
1, 2, 11, 17, 22, 34, 187, 374
Divisors of 318 :
The positive integer divisors of 318 that completely divides 318 are.
1, 2, 3, 6, 53, 106, 159, 318
Divisors of 868 :
The positive integer divisors of 868 that completely divides 868 are.
1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868
GCD of numbers is the greatest common divisor
So, the GCD (490, 374, 318, 868) = 2.
Given numbers are 490, 374, 318, 868
The list of prime factors of all numbers are
Prime factors of 490 are 2 x 5 x 7 x 7
Prime factors of 374 are 2 x 11 x 17
Prime factors of 318 are 2 x 3 x 53
Prime factors of 868 are 2 x 2 x 7 x 31
The highest common occurrence is 21
Therefore, GCD of 490, 374, 318, 868 is 2.
Given numbers are 490, 374, 318, 868
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(490, 374) = 91630
GCD(490, 374) = ( 490 x 374 ) / 91630
= 490 / 374
= 490
Step2:
LCM(2, 318) = 318
GCD(2, 318) = ( 2 x 318 ) / 318
= 2 / 318
= 2
Step3:
LCM(2, 868) = 868
GCD(2, 868) = ( 2 x 868 ) / 868
= 2 / 868
= 2
So, Greatest Common Divisor of 490, 374, 318, 868 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 490, 374, 318, 868
The greatest common divisor of numbers 490, 374, 318, 868 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 490, 374, 318, 868 is 2.
1. What is the GCD of 490, 374, 318, 868?
GCD of given numbers 490, 374, 318, 868 is 2
2. How to calculate the greatest common divisor of 490, 374, 318, 868?
We can find the highest common divisor of 490, 374, 318, 868 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, 374, 318, 868 i.e 2.
3. How can I use the GCD of 490, 374, 318, 868Calculator?
Out the numbers 490, 374, 318, 868 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.