Online GCD Calculator is useful to find the GCD of 406, 370, 316, 716 quickly. Get the easiest ways to solve the greatest common divisor of 406, 370, 316, 716 i.e 2 in different methods as follows.
Given Input numbers are 406, 370, 316, 716
In the factoring method, we have to find the divisors of all numbers
Divisors of 406 :
The positive integer divisors of 406 that completely divides 406 are.
1, 2, 7, 14, 29, 58, 203, 406
Divisors of 370 :
The positive integer divisors of 370 that completely divides 370 are.
1, 2, 5, 10, 37, 74, 185, 370
Divisors of 316 :
The positive integer divisors of 316 that completely divides 316 are.
1, 2, 4, 79, 158, 316
Divisors of 716 :
The positive integer divisors of 716 that completely divides 716 are.
1, 2, 4, 179, 358, 716
GCD of numbers is the greatest common divisor
So, the GCD (406, 370, 316, 716) = 2.
Given numbers are 406, 370, 316, 716
The list of prime factors of all numbers are
Prime factors of 406 are 2 x 7 x 29
Prime factors of 370 are 2 x 5 x 37
Prime factors of 316 are 2 x 2 x 79
Prime factors of 716 are 2 x 2 x 179
The highest common occurrence is 21
Therefore, GCD of 406, 370, 316, 716 is 2.
Given numbers are 406, 370, 316, 716
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(406, 370) = 75110
GCD(406, 370) = ( 406 x 370 ) / 75110
= 406 / 370
= 406
Step2:
LCM(2, 316) = 316
GCD(2, 316) = ( 2 x 316 ) / 316
= 2 / 316
= 2
Step3:
LCM(2, 716) = 716
GCD(2, 716) = ( 2 x 716 ) / 716
= 2 / 716
= 2
So, Greatest Common Divisor of 406, 370, 316, 716 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 406, 370, 316, 716
The greatest common divisor of numbers 406, 370, 316, 716 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 406, 370, 316, 716 is 2.
1. What is the GCD of 406, 370, 316, 716?
GCD of given numbers 406, 370, 316, 716 is 2
2. How to calculate the greatest common divisor of 406, 370, 316, 716?
We can find the highest common divisor of 406, 370, 316, 716 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 406, 370, 316, 716 i.e 2.
3. How can I use the GCD of 406, 370, 316, 716Calculator?
Out the numbers 406, 370, 316, 716 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.