Online GCD Calculator is useful to find the GCD of 112, 740, 892, 404 quickly. Get the easiest ways to solve the greatest common divisor of 112, 740, 892, 404 i.e 4 in different methods as follows.
Given Input numbers are 112, 740, 892, 404
In the factoring method, we have to find the divisors of all numbers
Divisors of 112 :
The positive integer divisors of 112 that completely divides 112 are.
1, 2, 4, 7, 8, 14, 16, 28, 56, 112
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 892 :
The positive integer divisors of 892 that completely divides 892 are.
1, 2, 4, 223, 446, 892
Divisors of 404 :
The positive integer divisors of 404 that completely divides 404 are.
1, 2, 4, 101, 202, 404
GCD of numbers is the greatest common divisor
So, the GCD (112, 740, 892, 404) = 4.
Given numbers are 112, 740, 892, 404
The list of prime factors of all numbers are
Prime factors of 112 are 2 x 2 x 2 x 2 x 7
Prime factors of 740 are 2 x 2 x 5 x 37
Prime factors of 892 are 2 x 2 x 223
Prime factors of 404 are 2 x 2 x 101
The highest common occurrence is 22
Therefore, GCD of 112, 740, 892, 404 is 4.
Given numbers are 112, 740, 892, 404
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(112, 740) = 20720
GCD(112, 740) = ( 112 x 740 ) / 20720
= 112 / 740
= 112
Step2:
LCM(4, 892) = 892
GCD(4, 892) = ( 4 x 892 ) / 892
= 4 / 892
= 4
Step3:
LCM(4, 404) = 404
GCD(4, 404) = ( 4 x 404 ) / 404
= 4 / 404
= 4
So, Greatest Common Divisor of 112, 740, 892, 404 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 112, 740, 892, 404
The greatest common divisor of numbers 112, 740, 892, 404 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 112, 740, 892, 404 is 4.
1. What is the GCD of 112, 740, 892, 404?
GCD of given numbers 112, 740, 892, 404 is 4
2. How to calculate the greatest common divisor of 112, 740, 892, 404?
We can find the highest common divisor of 112, 740, 892, 404 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 112, 740, 892, 404 i.e 4.
3. How can I use the GCD of 112, 740, 892, 404Calculator?
Out the numbers 112, 740, 892, 404 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.