Online GCD Calculator is useful to find the GCD of 364, 214, 548, 635 quickly. Get the easiest ways to solve the greatest common divisor of 364, 214, 548, 635 i.e 1 in different methods as follows.
Given Input numbers are 364, 214, 548, 635
In the factoring method, we have to find the divisors of all numbers
Divisors of 364 :
The positive integer divisors of 364 that completely divides 364 are.
1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
Divisors of 214 :
The positive integer divisors of 214 that completely divides 214 are.
1, 2, 107, 214
Divisors of 548 :
The positive integer divisors of 548 that completely divides 548 are.
1, 2, 4, 137, 274, 548
Divisors of 635 :
The positive integer divisors of 635 that completely divides 635 are.
1, 5, 127, 635
GCD of numbers is the greatest common divisor
So, the GCD (364, 214, 548, 635) = 1.
Given numbers are 364, 214, 548, 635
The list of prime factors of all numbers are
Prime factors of 364 are 2 x 2 x 7 x 13
Prime factors of 214 are 2 x 107
Prime factors of 548 are 2 x 2 x 137
Prime factors of 635 are 5 x 127
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 364, 214, 548, 635
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(364, 214) = 38948
GCD(364, 214) = ( 364 x 214 ) / 38948
= 364 / 214
= 364
Step2:
LCM(2, 548) = 548
GCD(2, 548) = ( 2 x 548 ) / 548
= 2 / 548
= 2
Step3:
LCM(2, 635) = 1270
GCD(2, 635) = ( 2 x 635 ) / 1270
= 2 / 635
= 2
So, Greatest Common Divisor of 364, 214, 548, 635 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 364, 214, 548, 635
The greatest common divisor of numbers 364, 214, 548, 635 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 364, 214, 548, 635 is 1.
1. What is the GCD of 364, 214, 548, 635?
GCD of given numbers 364, 214, 548, 635 is 1
2. How to calculate the greatest common divisor of 364, 214, 548, 635?
We can find the highest common divisor of 364, 214, 548, 635 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 364, 214, 548, 635 i.e 1.
3. How can I use the GCD of 364, 214, 548, 635Calculator?
Out the numbers 364, 214, 548, 635 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.