Online GCD Calculator is useful to find the GCD of 107, 349, 427, 242 quickly. Get the easiest ways to solve the greatest common divisor of 107, 349, 427, 242 i.e 1 in different methods as follows.
Given Input numbers are 107, 349, 427, 242
In the factoring method, we have to find the divisors of all numbers
Divisors of 107 :
The positive integer divisors of 107 that completely divides 107 are.
1, 107
Divisors of 349 :
The positive integer divisors of 349 that completely divides 349 are.
1, 349
Divisors of 427 :
The positive integer divisors of 427 that completely divides 427 are.
1, 7, 61, 427
Divisors of 242 :
The positive integer divisors of 242 that completely divides 242 are.
1, 2, 11, 22, 121, 242
GCD of numbers is the greatest common divisor
So, the GCD (107, 349, 427, 242) = 1.
Given numbers are 107, 349, 427, 242
The list of prime factors of all numbers are
Prime factors of 107 are 107
Prime factors of 349 are 349
Prime factors of 427 are 7 x 61
Prime factors of 242 are 2 x 11 x 11
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 107, 349, 427, 242
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(107, 349) = 37343
GCD(107, 349) = ( 107 x 349 ) / 37343
= 107 / 349
= 107
Step2:
LCM(1, 427) = 427
GCD(1, 427) = ( 1 x 427 ) / 427
= 1 / 427
= 1
Step3:
LCM(1, 242) = 242
GCD(1, 242) = ( 1 x 242 ) / 242
= 1 / 242
= 1
So, Greatest Common Divisor of 107, 349, 427, 242 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 107, 349, 427, 242
The greatest common divisor of numbers 107, 349, 427, 242 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 107, 349, 427, 242 is 1.
1. What is the GCD of 107, 349, 427, 242?
GCD of given numbers 107, 349, 427, 242 is 1
2. How to calculate the greatest common divisor of 107, 349, 427, 242?
We can find the highest common divisor of 107, 349, 427, 242 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 107, 349, 427, 242 i.e 1.
3. How can I use the GCD of 107, 349, 427, 242Calculator?
Out the numbers 107, 349, 427, 242 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.