Online GCD Calculator is useful to find the GCD of 242, 354, 107, 358 quickly. Get the easiest ways to solve the greatest common divisor of 242, 354, 107, 358 i.e 1 in different methods as follows.
Given Input numbers are 242, 354, 107, 358
In the factoring method, we have to find the divisors of all numbers
Divisors of 242 :
The positive integer divisors of 242 that completely divides 242 are.
1, 2, 11, 22, 121, 242
Divisors of 354 :
The positive integer divisors of 354 that completely divides 354 are.
1, 2, 3, 6, 59, 118, 177, 354
Divisors of 107 :
The positive integer divisors of 107 that completely divides 107 are.
1, 107
Divisors of 358 :
The positive integer divisors of 358 that completely divides 358 are.
1, 2, 179, 358
GCD of numbers is the greatest common divisor
So, the GCD (242, 354, 107, 358) = 1.
Given numbers are 242, 354, 107, 358
The list of prime factors of all numbers are
Prime factors of 242 are 2 x 11 x 11
Prime factors of 354 are 2 x 3 x 59
Prime factors of 107 are 107
Prime factors of 358 are 2 x 179
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 242, 354, 107, 358
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(242, 354) = 42834
GCD(242, 354) = ( 242 x 354 ) / 42834
= 242 / 354
= 242
Step2:
LCM(2, 107) = 214
GCD(2, 107) = ( 2 x 107 ) / 214
= 2 / 107
= 2
Step3:
LCM(1, 358) = 358
GCD(1, 358) = ( 1 x 358 ) / 358
= 1 / 358
= 1
So, Greatest Common Divisor of 242, 354, 107, 358 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 242, 354, 107, 358
The greatest common divisor of numbers 242, 354, 107, 358 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 242, 354, 107, 358 is 1.
1. What is the GCD of 242, 354, 107, 358?
GCD of given numbers 242, 354, 107, 358 is 1
2. How to calculate the greatest common divisor of 242, 354, 107, 358?
We can find the highest common divisor of 242, 354, 107, 358 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 242, 354, 107, 358 i.e 1.
3. How can I use the GCD of 242, 354, 107, 358Calculator?
Out the numbers 242, 354, 107, 358 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.