Online GCD Calculator is useful to find the GCD of 703, 724, 791, 338 quickly. Get the easiest ways to solve the greatest common divisor of 703, 724, 791, 338 i.e 1 in different methods as follows.
Given Input numbers are 703, 724, 791, 338
In the factoring method, we have to find the divisors of all numbers
Divisors of 703 :
The positive integer divisors of 703 that completely divides 703 are.
1, 19, 37, 703
Divisors of 724 :
The positive integer divisors of 724 that completely divides 724 are.
1, 2, 4, 181, 362, 724
Divisors of 791 :
The positive integer divisors of 791 that completely divides 791 are.
1, 7, 113, 791
Divisors of 338 :
The positive integer divisors of 338 that completely divides 338 are.
1, 2, 13, 26, 169, 338
GCD of numbers is the greatest common divisor
So, the GCD (703, 724, 791, 338) = 1.
Given numbers are 703, 724, 791, 338
The list of prime factors of all numbers are
Prime factors of 703 are 19 x 37
Prime factors of 724 are 2 x 2 x 181
Prime factors of 791 are 7 x 113
Prime factors of 338 are 2 x 13 x 13
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 703, 724, 791, 338
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(703, 724) = 508972
GCD(703, 724) = ( 703 x 724 ) / 508972
= 703 / 724
= 703
Step2:
LCM(1, 791) = 791
GCD(1, 791) = ( 1 x 791 ) / 791
= 1 / 791
= 1
Step3:
LCM(1, 338) = 338
GCD(1, 338) = ( 1 x 338 ) / 338
= 1 / 338
= 1
So, Greatest Common Divisor of 703, 724, 791, 338 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 703, 724, 791, 338
The greatest common divisor of numbers 703, 724, 791, 338 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 703, 724, 791, 338 is 1.
1. What is the GCD of 703, 724, 791, 338?
GCD of given numbers 703, 724, 791, 338 is 1
2. How to calculate the greatest common divisor of 703, 724, 791, 338?
We can find the highest common divisor of 703, 724, 791, 338 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 703, 724, 791, 338 i.e 1.
3. How can I use the GCD of 703, 724, 791, 338Calculator?
Out the numbers 703, 724, 791, 338 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.