Online GCD Calculator is useful to find the GCD of 546, 171, 365, 702 quickly. Get the easiest ways to solve the greatest common divisor of 546, 171, 365, 702 i.e 1 in different methods as follows.
Given Input numbers are 546, 171, 365, 702
In the factoring method, we have to find the divisors of all numbers
Divisors of 546 :
The positive integer divisors of 546 that completely divides 546 are.
1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
Divisors of 171 :
The positive integer divisors of 171 that completely divides 171 are.
1, 3, 9, 19, 57, 171
Divisors of 365 :
The positive integer divisors of 365 that completely divides 365 are.
1, 5, 73, 365
Divisors of 702 :
The positive integer divisors of 702 that completely divides 702 are.
1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
GCD of numbers is the greatest common divisor
So, the GCD (546, 171, 365, 702) = 1.
Given numbers are 546, 171, 365, 702
The list of prime factors of all numbers are
Prime factors of 546 are 2 x 3 x 7 x 13
Prime factors of 171 are 3 x 3 x 19
Prime factors of 365 are 5 x 73
Prime factors of 702 are 2 x 3 x 3 x 3 x 13
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 546, 171, 365, 702
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(546, 171) = 31122
GCD(546, 171) = ( 546 x 171 ) / 31122
= 546 / 171
= 546
Step2:
LCM(3, 365) = 1095
GCD(3, 365) = ( 3 x 365 ) / 1095
= 3 / 365
= 3
Step3:
LCM(1, 702) = 702
GCD(1, 702) = ( 1 x 702 ) / 702
= 1 / 702
= 1
So, Greatest Common Divisor of 546, 171, 365, 702 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 546, 171, 365, 702
The greatest common divisor of numbers 546, 171, 365, 702 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 546, 171, 365, 702 is 1.
1. What is the GCD of 546, 171, 365, 702?
GCD of given numbers 546, 171, 365, 702 is 1
2. How to calculate the greatest common divisor of 546, 171, 365, 702?
We can find the highest common divisor of 546, 171, 365, 702 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 546, 171, 365, 702 i.e 1.
3. How can I use the GCD of 546, 171, 365, 702Calculator?
Out the numbers 546, 171, 365, 702 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.