Online GCD Calculator is useful to find the GCD of 908, 214, 785, 752 quickly. Get the easiest ways to solve the greatest common divisor of 908, 214, 785, 752 i.e 1 in different methods as follows.
Given Input numbers are 908, 214, 785, 752
In the factoring method, we have to find the divisors of all numbers
Divisors of 908 :
The positive integer divisors of 908 that completely divides 908 are.
1, 2, 4, 227, 454, 908
Divisors of 214 :
The positive integer divisors of 214 that completely divides 214 are.
1, 2, 107, 214
Divisors of 785 :
The positive integer divisors of 785 that completely divides 785 are.
1, 5, 157, 785
Divisors of 752 :
The positive integer divisors of 752 that completely divides 752 are.
1, 2, 4, 8, 16, 47, 94, 188, 376, 752
GCD of numbers is the greatest common divisor
So, the GCD (908, 214, 785, 752) = 1.
Given numbers are 908, 214, 785, 752
The list of prime factors of all numbers are
Prime factors of 908 are 2 x 2 x 227
Prime factors of 214 are 2 x 107
Prime factors of 785 are 5 x 157
Prime factors of 752 are 2 x 2 x 2 x 2 x 47
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 908, 214, 785, 752
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(908, 214) = 97156
GCD(908, 214) = ( 908 x 214 ) / 97156
= 908 / 214
= 908
Step2:
LCM(2, 785) = 1570
GCD(2, 785) = ( 2 x 785 ) / 1570
= 2 / 785
= 2
Step3:
LCM(1, 752) = 752
GCD(1, 752) = ( 1 x 752 ) / 752
= 1 / 752
= 1
So, Greatest Common Divisor of 908, 214, 785, 752 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 908, 214, 785, 752
The greatest common divisor of numbers 908, 214, 785, 752 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 908, 214, 785, 752 is 1.
1. What is the GCD of 908, 214, 785, 752?
GCD of given numbers 908, 214, 785, 752 is 1
2. How to calculate the greatest common divisor of 908, 214, 785, 752?
We can find the highest common divisor of 908, 214, 785, 752 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 908, 214, 785, 752 i.e 1.
3. How can I use the GCD of 908, 214, 785, 752Calculator?
Out the numbers 908, 214, 785, 752 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.