Online GCD Calculator is useful to find the GCD of 696, 436, 890, 298 quickly. Get the easiest ways to solve the greatest common divisor of 696, 436, 890, 298 i.e 2 in different methods as follows.
Given Input numbers are 696, 436, 890, 298
In the factoring method, we have to find the divisors of all numbers
Divisors of 696 :
The positive integer divisors of 696 that completely divides 696 are.
1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696
Divisors of 436 :
The positive integer divisors of 436 that completely divides 436 are.
1, 2, 4, 109, 218, 436
Divisors of 890 :
The positive integer divisors of 890 that completely divides 890 are.
1, 2, 5, 10, 89, 178, 445, 890
Divisors of 298 :
The positive integer divisors of 298 that completely divides 298 are.
1, 2, 149, 298
GCD of numbers is the greatest common divisor
So, the GCD (696, 436, 890, 298) = 2.
Given numbers are 696, 436, 890, 298
The list of prime factors of all numbers are
Prime factors of 696 are 2 x 2 x 2 x 3 x 29
Prime factors of 436 are 2 x 2 x 109
Prime factors of 890 are 2 x 5 x 89
Prime factors of 298 are 2 x 149
The highest common occurrence is 21
Therefore, GCD of 696, 436, 890, 298 is 2.
Given numbers are 696, 436, 890, 298
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(696, 436) = 75864
GCD(696, 436) = ( 696 x 436 ) / 75864
= 696 / 436
= 696
Step2:
LCM(4, 890) = 1780
GCD(4, 890) = ( 4 x 890 ) / 1780
= 4 / 890
= 4
Step3:
LCM(2, 298) = 298
GCD(2, 298) = ( 2 x 298 ) / 298
= 2 / 298
= 2
So, Greatest Common Divisor of 696, 436, 890, 298 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 696, 436, 890, 298
The greatest common divisor of numbers 696, 436, 890, 298 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 696, 436, 890, 298 is 2.
1. What is the GCD of 696, 436, 890, 298?
GCD of given numbers 696, 436, 890, 298 is 2
2. How to calculate the greatest common divisor of 696, 436, 890, 298?
We can find the highest common divisor of 696, 436, 890, 298 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 696, 436, 890, 298 i.e 2.
3. How can I use the GCD of 696, 436, 890, 298Calculator?
Out the numbers 696, 436, 890, 298 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.