Online GCD Calculator is useful to find the GCD of 709, 338, 758, 852 quickly. Get the easiest ways to solve the greatest common divisor of 709, 338, 758, 852 i.e 1 in different methods as follows.
Given Input numbers are 709, 338, 758, 852
In the factoring method, we have to find the divisors of all numbers
Divisors of 709 :
The positive integer divisors of 709 that completely divides 709 are.
1, 709
Divisors of 338 :
The positive integer divisors of 338 that completely divides 338 are.
1, 2, 13, 26, 169, 338
Divisors of 758 :
The positive integer divisors of 758 that completely divides 758 are.
1, 2, 379, 758
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
GCD of numbers is the greatest common divisor
So, the GCD (709, 338, 758, 852) = 1.
Given numbers are 709, 338, 758, 852
The list of prime factors of all numbers are
Prime factors of 709 are 709
Prime factors of 338 are 2 x 13 x 13
Prime factors of 758 are 2 x 379
Prime factors of 852 are 2 x 2 x 3 x 71
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 709, 338, 758, 852
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(709, 338) = 239642
GCD(709, 338) = ( 709 x 338 ) / 239642
= 709 / 338
= 709
Step2:
LCM(1, 758) = 758
GCD(1, 758) = ( 1 x 758 ) / 758
= 1 / 758
= 1
Step3:
LCM(1, 852) = 852
GCD(1, 852) = ( 1 x 852 ) / 852
= 1 / 852
= 1
So, Greatest Common Divisor of 709, 338, 758, 852 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 709, 338, 758, 852
The greatest common divisor of numbers 709, 338, 758, 852 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 709, 338, 758, 852 is 1.
1. What is the GCD of 709, 338, 758, 852?
GCD of given numbers 709, 338, 758, 852 is 1
2. How to calculate the greatest common divisor of 709, 338, 758, 852?
We can find the highest common divisor of 709, 338, 758, 852 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 709, 338, 758, 852 i.e 1.
3. How can I use the GCD of 709, 338, 758, 852Calculator?
Out the numbers 709, 338, 758, 852 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.