Online GCD Calculator is useful to find the GCD of 106, 429, 697, 252 quickly. Get the easiest ways to solve the greatest common divisor of 106, 429, 697, 252 i.e 1 in different methods as follows.
Given Input numbers are 106, 429, 697, 252
In the factoring method, we have to find the divisors of all numbers
Divisors of 106 :
The positive integer divisors of 106 that completely divides 106 are.
1, 2, 53, 106
Divisors of 429 :
The positive integer divisors of 429 that completely divides 429 are.
1, 3, 11, 13, 33, 39, 143, 429
Divisors of 697 :
The positive integer divisors of 697 that completely divides 697 are.
1, 17, 41, 697
Divisors of 252 :
The positive integer divisors of 252 that completely divides 252 are.
1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252
GCD of numbers is the greatest common divisor
So, the GCD (106, 429, 697, 252) = 1.
Given numbers are 106, 429, 697, 252
The list of prime factors of all numbers are
Prime factors of 106 are 2 x 53
Prime factors of 429 are 3 x 11 x 13
Prime factors of 697 are 17 x 41
Prime factors of 252 are 2 x 2 x 3 x 3 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 106, 429, 697, 252
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(106, 429) = 45474
GCD(106, 429) = ( 106 x 429 ) / 45474
= 106 / 429
= 106
Step2:
LCM(1, 697) = 697
GCD(1, 697) = ( 1 x 697 ) / 697
= 1 / 697
= 1
Step3:
LCM(1, 252) = 252
GCD(1, 252) = ( 1 x 252 ) / 252
= 1 / 252
= 1
So, Greatest Common Divisor of 106, 429, 697, 252 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 106, 429, 697, 252
The greatest common divisor of numbers 106, 429, 697, 252 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 106, 429, 697, 252 is 1.
1. What is the GCD of 106, 429, 697, 252?
GCD of given numbers 106, 429, 697, 252 is 1
2. How to calculate the greatest common divisor of 106, 429, 697, 252?
We can find the highest common divisor of 106, 429, 697, 252 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 106, 429, 697, 252 i.e 1.
3. How can I use the GCD of 106, 429, 697, 252Calculator?
Out the numbers 106, 429, 697, 252 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.