Online GCD Calculator is useful to find the GCD of 296, 590, 874, 698 quickly. Get the easiest ways to solve the greatest common divisor of 296, 590, 874, 698 i.e 2 in different methods as follows.
Given Input numbers are 296, 590, 874, 698
In the factoring method, we have to find the divisors of all numbers
Divisors of 296 :
The positive integer divisors of 296 that completely divides 296 are.
1, 2, 4, 8, 37, 74, 148, 296
Divisors of 590 :
The positive integer divisors of 590 that completely divides 590 are.
1, 2, 5, 10, 59, 118, 295, 590
Divisors of 874 :
The positive integer divisors of 874 that completely divides 874 are.
1, 2, 19, 23, 38, 46, 437, 874
Divisors of 698 :
The positive integer divisors of 698 that completely divides 698 are.
1, 2, 349, 698
GCD of numbers is the greatest common divisor
So, the GCD (296, 590, 874, 698) = 2.
Given numbers are 296, 590, 874, 698
The list of prime factors of all numbers are
Prime factors of 296 are 2 x 2 x 2 x 37
Prime factors of 590 are 2 x 5 x 59
Prime factors of 874 are 2 x 19 x 23
Prime factors of 698 are 2 x 349
The highest common occurrence is 21
Therefore, GCD of 296, 590, 874, 698 is 2.
Given numbers are 296, 590, 874, 698
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(296, 590) = 87320
GCD(296, 590) = ( 296 x 590 ) / 87320
= 296 / 590
= 296
Step2:
LCM(2, 874) = 874
GCD(2, 874) = ( 2 x 874 ) / 874
= 2 / 874
= 2
Step3:
LCM(2, 698) = 698
GCD(2, 698) = ( 2 x 698 ) / 698
= 2 / 698
= 2
So, Greatest Common Divisor of 296, 590, 874, 698 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 296, 590, 874, 698
The greatest common divisor of numbers 296, 590, 874, 698 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 296, 590, 874, 698 is 2.
1. What is the GCD of 296, 590, 874, 698?
GCD of given numbers 296, 590, 874, 698 is 2
2. How to calculate the greatest common divisor of 296, 590, 874, 698?
We can find the highest common divisor of 296, 590, 874, 698 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 296, 590, 874, 698 i.e 2.
3. How can I use the GCD of 296, 590, 874, 698Calculator?
Out the numbers 296, 590, 874, 698 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.