Online GCD Calculator is useful to find the GCD of 404, 740, 632, 744 quickly. Get the easiest ways to solve the greatest common divisor of 404, 740, 632, 744 i.e 4 in different methods as follows.
Given Input numbers are 404, 740, 632, 744
In the factoring method, we have to find the divisors of all numbers
Divisors of 404 :
The positive integer divisors of 404 that completely divides 404 are.
1, 2, 4, 101, 202, 404
Divisors of 740 :
The positive integer divisors of 740 that completely divides 740 are.
1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740
Divisors of 632 :
The positive integer divisors of 632 that completely divides 632 are.
1, 2, 4, 8, 79, 158, 316, 632
Divisors of 744 :
The positive integer divisors of 744 that completely divides 744 are.
1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744
GCD of numbers is the greatest common divisor
So, the GCD (404, 740, 632, 744) = 4.
Given numbers are 404, 740, 632, 744
The list of prime factors of all numbers are
Prime factors of 404 are 2 x 2 x 101
Prime factors of 740 are 2 x 2 x 5 x 37
Prime factors of 632 are 2 x 2 x 2 x 79
Prime factors of 744 are 2 x 2 x 2 x 3 x 31
The highest common occurrence is 22
Therefore, GCD of 404, 740, 632, 744 is 4.
Given numbers are 404, 740, 632, 744
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(404, 740) = 74740
GCD(404, 740) = ( 404 x 740 ) / 74740
= 404 / 740
= 404
Step2:
LCM(4, 632) = 632
GCD(4, 632) = ( 4 x 632 ) / 632
= 4 / 632
= 4
Step3:
LCM(4, 744) = 744
GCD(4, 744) = ( 4 x 744 ) / 744
= 4 / 744
= 4
So, Greatest Common Divisor of 404, 740, 632, 744 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 404, 740, 632, 744
The greatest common divisor of numbers 404, 740, 632, 744 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 404, 740, 632, 744 is 4.
1. What is the GCD of 404, 740, 632, 744?
GCD of given numbers 404, 740, 632, 744 is 4
2. How to calculate the greatest common divisor of 404, 740, 632, 744?
We can find the highest common divisor of 404, 740, 632, 744 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 404, 740, 632, 744 i.e 4.
3. How can I use the GCD of 404, 740, 632, 744Calculator?
Out the numbers 404, 740, 632, 744 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.