Online GCD Calculator is useful to find the GCD of 112, 698, 774, 297 quickly. Get the easiest ways to solve the greatest common divisor of 112, 698, 774, 297 i.e 1 in different methods as follows.
Given Input numbers are 112, 698, 774, 297
In the factoring method, we have to find the divisors of all numbers
Divisors of 112 :
The positive integer divisors of 112 that completely divides 112 are.
1, 2, 4, 7, 8, 14, 16, 28, 56, 112
Divisors of 698 :
The positive integer divisors of 698 that completely divides 698 are.
1, 2, 349, 698
Divisors of 774 :
The positive integer divisors of 774 that completely divides 774 are.
1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774
Divisors of 297 :
The positive integer divisors of 297 that completely divides 297 are.
1, 3, 9, 11, 27, 33, 99, 297
GCD of numbers is the greatest common divisor
So, the GCD (112, 698, 774, 297) = 1.
Given numbers are 112, 698, 774, 297
The list of prime factors of all numbers are
Prime factors of 112 are 2 x 2 x 2 x 2 x 7
Prime factors of 698 are 2 x 349
Prime factors of 774 are 2 x 3 x 3 x 43
Prime factors of 297 are 3 x 3 x 3 x 11
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 112, 698, 774, 297
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(112, 698) = 39088
GCD(112, 698) = ( 112 x 698 ) / 39088
= 112 / 698
= 112
Step2:
LCM(2, 774) = 774
GCD(2, 774) = ( 2 x 774 ) / 774
= 2 / 774
= 2
Step3:
LCM(2, 297) = 594
GCD(2, 297) = ( 2 x 297 ) / 594
= 2 / 297
= 2
So, Greatest Common Divisor of 112, 698, 774, 297 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 112, 698, 774, 297
The greatest common divisor of numbers 112, 698, 774, 297 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 112, 698, 774, 297 is 1.
1. What is the GCD of 112, 698, 774, 297?
GCD of given numbers 112, 698, 774, 297 is 1
2. How to calculate the greatest common divisor of 112, 698, 774, 297?
We can find the highest common divisor of 112, 698, 774, 297 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 112, 698, 774, 297 i.e 1.
3. How can I use the GCD of 112, 698, 774, 297Calculator?
Out the numbers 112, 698, 774, 297 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.