Online GCD Calculator is useful to find the GCD of 237, 105, 698, 355 quickly. Get the easiest ways to solve the greatest common divisor of 237, 105, 698, 355 i.e 1 in different methods as follows.
Given Input numbers are 237, 105, 698, 355
In the factoring method, we have to find the divisors of all numbers
Divisors of 237 :
The positive integer divisors of 237 that completely divides 237 are.
1, 3, 79, 237
Divisors of 105 :
The positive integer divisors of 105 that completely divides 105 are.
1, 3, 5, 7, 15, 21, 35, 105
Divisors of 698 :
The positive integer divisors of 698 that completely divides 698 are.
1, 2, 349, 698
Divisors of 355 :
The positive integer divisors of 355 that completely divides 355 are.
1, 5, 71, 355
GCD of numbers is the greatest common divisor
So, the GCD (237, 105, 698, 355) = 1.
Given numbers are 237, 105, 698, 355
The list of prime factors of all numbers are
Prime factors of 237 are 3 x 79
Prime factors of 105 are 3 x 5 x 7
Prime factors of 698 are 2 x 349
Prime factors of 355 are 5 x 71
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 237, 105, 698, 355
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(237, 105) = 8295
GCD(237, 105) = ( 237 x 105 ) / 8295
= 237 / 105
= 237
Step2:
LCM(3, 698) = 2094
GCD(3, 698) = ( 3 x 698 ) / 2094
= 3 / 698
= 3
Step3:
LCM(1, 355) = 355
GCD(1, 355) = ( 1 x 355 ) / 355
= 1 / 355
= 1
So, Greatest Common Divisor of 237, 105, 698, 355 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 237, 105, 698, 355
The greatest common divisor of numbers 237, 105, 698, 355 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 237, 105, 698, 355 is 1.
1. What is the GCD of 237, 105, 698, 355?
GCD of given numbers 237, 105, 698, 355 is 1
2. How to calculate the greatest common divisor of 237, 105, 698, 355?
We can find the highest common divisor of 237, 105, 698, 355 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 237, 105, 698, 355 i.e 1.
3. How can I use the GCD of 237, 105, 698, 355Calculator?
Out the numbers 237, 105, 698, 355 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.