Online GCD Calculator is useful to find the GCD of 828, 640, 374, 490 quickly. Get the easiest ways to solve the greatest common divisor of 828, 640, 374, 490 i.e 2 in different methods as follows.
Given Input numbers are 828, 640, 374, 490
In the factoring method, we have to find the divisors of all numbers
Divisors of 828 :
The positive integer divisors of 828 that completely divides 828 are.
1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
Divisors of 640 :
The positive integer divisors of 640 that completely divides 640 are.
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640
Divisors of 374 :
The positive integer divisors of 374 that completely divides 374 are.
1, 2, 11, 17, 22, 34, 187, 374
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
GCD of numbers is the greatest common divisor
So, the GCD (828, 640, 374, 490) = 2.
Given numbers are 828, 640, 374, 490
The list of prime factors of all numbers are
Prime factors of 828 are 2 x 2 x 3 x 3 x 23
Prime factors of 640 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5
Prime factors of 374 are 2 x 11 x 17
Prime factors of 490 are 2 x 5 x 7 x 7
The highest common occurrence is 21
Therefore, GCD of 828, 640, 374, 490 is 2.
Given numbers are 828, 640, 374, 490
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(828, 640) = 132480
GCD(828, 640) = ( 828 x 640 ) / 132480
= 828 / 640
= 828
Step2:
LCM(4, 374) = 748
GCD(4, 374) = ( 4 x 374 ) / 748
= 4 / 374
= 4
Step3:
LCM(2, 490) = 490
GCD(2, 490) = ( 2 x 490 ) / 490
= 2 / 490
= 2
So, Greatest Common Divisor of 828, 640, 374, 490 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 828, 640, 374, 490
The greatest common divisor of numbers 828, 640, 374, 490 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 828, 640, 374, 490 is 2.
1. What is the GCD of 828, 640, 374, 490?
GCD of given numbers 828, 640, 374, 490 is 2
2. How to calculate the greatest common divisor of 828, 640, 374, 490?
We can find the highest common divisor of 828, 640, 374, 490 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 828, 640, 374, 490 i.e 2.
3. How can I use the GCD of 828, 640, 374, 490Calculator?
Out the numbers 828, 640, 374, 490 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.