Online GCD Calculator is useful to find the GCD of 716, 852, 917, 738 quickly. Get the easiest ways to solve the greatest common divisor of 716, 852, 917, 738 i.e 1 in different methods as follows.
Given Input numbers are 716, 852, 917, 738
In the factoring method, we have to find the divisors of all numbers
Divisors of 716 :
The positive integer divisors of 716 that completely divides 716 are.
1, 2, 4, 179, 358, 716
Divisors of 852 :
The positive integer divisors of 852 that completely divides 852 are.
1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852
Divisors of 917 :
The positive integer divisors of 917 that completely divides 917 are.
1, 7, 131, 917
Divisors of 738 :
The positive integer divisors of 738 that completely divides 738 are.
1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738
GCD of numbers is the greatest common divisor
So, the GCD (716, 852, 917, 738) = 1.
Given numbers are 716, 852, 917, 738
The list of prime factors of all numbers are
Prime factors of 716 are 2 x 2 x 179
Prime factors of 852 are 2 x 2 x 3 x 71
Prime factors of 917 are 7 x 131
Prime factors of 738 are 2 x 3 x 3 x 41
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 716, 852, 917, 738
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(716, 852) = 152508
GCD(716, 852) = ( 716 x 852 ) / 152508
= 716 / 852
= 716
Step2:
LCM(4, 917) = 3668
GCD(4, 917) = ( 4 x 917 ) / 3668
= 4 / 917
= 4
Step3:
LCM(1, 738) = 738
GCD(1, 738) = ( 1 x 738 ) / 738
= 1 / 738
= 1
So, Greatest Common Divisor of 716, 852, 917, 738 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 716, 852, 917, 738
The greatest common divisor of numbers 716, 852, 917, 738 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 716, 852, 917, 738 is 1.
1. What is the GCD of 716, 852, 917, 738?
GCD of given numbers 716, 852, 917, 738 is 1
2. How to calculate the greatest common divisor of 716, 852, 917, 738?
We can find the highest common divisor of 716, 852, 917, 738 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 716, 852, 917, 738 i.e 1.
3. How can I use the GCD of 716, 852, 917, 738Calculator?
Out the numbers 716, 852, 917, 738 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.