Online GCD Calculator is useful to find the GCD of 340, 420, 709, 839 quickly. Get the easiest ways to solve the greatest common divisor of 340, 420, 709, 839 i.e 1 in different methods as follows.
Given Input numbers are 340, 420, 709, 839
In the factoring method, we have to find the divisors of all numbers
Divisors of 340 :
The positive integer divisors of 340 that completely divides 340 are.
1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340
Divisors of 420 :
The positive integer divisors of 420 that completely divides 420 are.
1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
Divisors of 709 :
The positive integer divisors of 709 that completely divides 709 are.
1, 709
Divisors of 839 :
The positive integer divisors of 839 that completely divides 839 are.
1, 839
GCD of numbers is the greatest common divisor
So, the GCD (340, 420, 709, 839) = 1.
Given numbers are 340, 420, 709, 839
The list of prime factors of all numbers are
Prime factors of 340 are 2 x 2 x 5 x 17
Prime factors of 420 are 2 x 2 x 3 x 5 x 7
Prime factors of 709 are 709
Prime factors of 839 are 839
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 340, 420, 709, 839
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(340, 420) = 7140
GCD(340, 420) = ( 340 x 420 ) / 7140
= 340 / 420
= 340
Step2:
LCM(20, 709) = 14180
GCD(20, 709) = ( 20 x 709 ) / 14180
= 20 / 709
= 20
Step3:
LCM(1, 839) = 839
GCD(1, 839) = ( 1 x 839 ) / 839
= 1 / 839
= 1
So, Greatest Common Divisor of 340, 420, 709, 839 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 340, 420, 709, 839
The greatest common divisor of numbers 340, 420, 709, 839 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 340, 420, 709, 839 is 1.
1. What is the GCD of 340, 420, 709, 839?
GCD of given numbers 340, 420, 709, 839 is 1
2. How to calculate the greatest common divisor of 340, 420, 709, 839?
We can find the highest common divisor of 340, 420, 709, 839 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 340, 420, 709, 839 i.e 1.
3. How can I use the GCD of 340, 420, 709, 839Calculator?
Out the numbers 340, 420, 709, 839 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.