Online GCD Calculator is useful to find the GCD of 706, 437, 172, 820 quickly. Get the easiest ways to solve the greatest common divisor of 706, 437, 172, 820 i.e 1 in different methods as follows.
Given Input numbers are 706, 437, 172, 820
In the factoring method, we have to find the divisors of all numbers
Divisors of 706 :
The positive integer divisors of 706 that completely divides 706 are.
1, 2, 353, 706
Divisors of 437 :
The positive integer divisors of 437 that completely divides 437 are.
1, 19, 23, 437
Divisors of 172 :
The positive integer divisors of 172 that completely divides 172 are.
1, 2, 4, 43, 86, 172
Divisors of 820 :
The positive integer divisors of 820 that completely divides 820 are.
1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
GCD of numbers is the greatest common divisor
So, the GCD (706, 437, 172, 820) = 1.
Given numbers are 706, 437, 172, 820
The list of prime factors of all numbers are
Prime factors of 706 are 2 x 353
Prime factors of 437 are 19 x 23
Prime factors of 172 are 2 x 2 x 43
Prime factors of 820 are 2 x 2 x 5 x 41
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 706, 437, 172, 820
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(706, 437) = 308522
GCD(706, 437) = ( 706 x 437 ) / 308522
= 706 / 437
= 706
Step2:
LCM(1, 172) = 172
GCD(1, 172) = ( 1 x 172 ) / 172
= 1 / 172
= 1
Step3:
LCM(1, 820) = 820
GCD(1, 820) = ( 1 x 820 ) / 820
= 1 / 820
= 1
So, Greatest Common Divisor of 706, 437, 172, 820 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 706, 437, 172, 820
The greatest common divisor of numbers 706, 437, 172, 820 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 706, 437, 172, 820 is 1.
1. What is the GCD of 706, 437, 172, 820?
GCD of given numbers 706, 437, 172, 820 is 1
2. How to calculate the greatest common divisor of 706, 437, 172, 820?
We can find the highest common divisor of 706, 437, 172, 820 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 706, 437, 172, 820 i.e 1.
3. How can I use the GCD of 706, 437, 172, 820Calculator?
Out the numbers 706, 437, 172, 820 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.