Online GCD Calculator is useful to find the GCD of 748, 826, 640, 442 quickly. Get the easiest ways to solve the greatest common divisor of 748, 826, 640, 442 i.e 2 in different methods as follows.
Given Input numbers are 748, 826, 640, 442
In the factoring method, we have to find the divisors of all numbers
Divisors of 748 :
The positive integer divisors of 748 that completely divides 748 are.
1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
Divisors of 826 :
The positive integer divisors of 826 that completely divides 826 are.
1, 2, 7, 14, 59, 118, 413, 826
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 442 :
The positive integer divisors of 442 that completely divides 442 are.
1, 2, 13, 17, 26, 34, 221, 442
GCD of numbers is the greatest common divisor
So, the GCD (748, 826, 640, 442) = 2.
Given numbers are 748, 826, 640, 442
The list of prime factors of all numbers are
Prime factors of 748 are 2 x 2 x 11 x 17
Prime factors of 826 are 2 x 7 x 59
Prime factors of 640 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5
Prime factors of 442 are 2 x 13 x 17
The highest common occurrence is 21
Therefore, GCD of 748, 826, 640, 442 is 2.
Given numbers are 748, 826, 640, 442
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(748, 826) = 308924
GCD(748, 826) = ( 748 x 826 ) / 308924
= 748 / 826
= 748
Step2:
LCM(2, 640) = 640
GCD(2, 640) = ( 2 x 640 ) / 640
= 2 / 640
= 2
Step3:
LCM(2, 442) = 442
GCD(2, 442) = ( 2 x 442 ) / 442
= 2 / 442
= 2
So, Greatest Common Divisor of 748, 826, 640, 442 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 748, 826, 640, 442
The greatest common divisor of numbers 748, 826, 640, 442 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 748, 826, 640, 442 is 2.
1. What is the GCD of 748, 826, 640, 442?
GCD of given numbers 748, 826, 640, 442 is 2
2. How to calculate the greatest common divisor of 748, 826, 640, 442?
We can find the highest common divisor of 748, 826, 640, 442 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 748, 826, 640, 442 i.e 2.
3. How can I use the GCD of 748, 826, 640, 442Calculator?
Out the numbers 748, 826, 640, 442 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.