Online GCD Calculator is useful to find the GCD of 438, 520, 770, 171 quickly. Get the easiest ways to solve the greatest common divisor of 438, 520, 770, 171 i.e 1 in different methods as follows.
Given Input numbers are 438, 520, 770, 171
In the factoring method, we have to find the divisors of all numbers
Divisors of 438 :
The positive integer divisors of 438 that completely divides 438 are.
1, 2, 3, 6, 73, 146, 219, 438
Divisors of 520 :
The positive integer divisors of 520 that completely divides 520 are.
1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520
Divisors of 770 :
The positive integer divisors of 770 that completely divides 770 are.
1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
Divisors of 171 :
The positive integer divisors of 171 that completely divides 171 are.
1, 3, 9, 19, 57, 171
GCD of numbers is the greatest common divisor
So, the GCD (438, 520, 770, 171) = 1.
Given numbers are 438, 520, 770, 171
The list of prime factors of all numbers are
Prime factors of 438 are 2 x 3 x 73
Prime factors of 520 are 2 x 2 x 2 x 5 x 13
Prime factors of 770 are 2 x 5 x 7 x 11
Prime factors of 171 are 3 x 3 x 19
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 438, 520, 770, 171
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(438, 520) = 113880
GCD(438, 520) = ( 438 x 520 ) / 113880
= 438 / 520
= 438
Step2:
LCM(2, 770) = 770
GCD(2, 770) = ( 2 x 770 ) / 770
= 2 / 770
= 2
Step3:
LCM(2, 171) = 342
GCD(2, 171) = ( 2 x 171 ) / 342
= 2 / 171
= 2
So, Greatest Common Divisor of 438, 520, 770, 171 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 438, 520, 770, 171
The greatest common divisor of numbers 438, 520, 770, 171 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 438, 520, 770, 171 is 1.
1. What is the GCD of 438, 520, 770, 171?
GCD of given numbers 438, 520, 770, 171 is 1
2. How to calculate the greatest common divisor of 438, 520, 770, 171?
We can find the highest common divisor of 438, 520, 770, 171 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 438, 520, 770, 171 i.e 1.
3. How can I use the GCD of 438, 520, 770, 171Calculator?
Out the numbers 438, 520, 770, 171 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.