Online GCD Calculator is useful to find the GCD of 290, 832, 588, 350 quickly. Get the easiest ways to solve the greatest common divisor of 290, 832, 588, 350 i.e 2 in different methods as follows.
Given Input numbers are 290, 832, 588, 350
In the factoring method, we have to find the divisors of all numbers
Divisors of 290 :
The positive integer divisors of 290 that completely divides 290 are.
1, 2, 5, 10, 29, 58, 145, 290
Divisors of 832 :
The positive integer divisors of 832 that completely divides 832 are.
1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832
Divisors of 588 :
The positive integer divisors of 588 that completely divides 588 are.
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
Divisors of 350 :
The positive integer divisors of 350 that completely divides 350 are.
1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350
GCD of numbers is the greatest common divisor
So, the GCD (290, 832, 588, 350) = 2.
Given numbers are 290, 832, 588, 350
The list of prime factors of all numbers are
Prime factors of 290 are 2 x 5 x 29
Prime factors of 832 are 2 x 2 x 2 x 2 x 2 x 2 x 13
Prime factors of 588 are 2 x 2 x 3 x 7 x 7
Prime factors of 350 are 2 x 5 x 5 x 7
The highest common occurrence is 21
Therefore, GCD of 290, 832, 588, 350 is 2.
Given numbers are 290, 832, 588, 350
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(290, 832) = 120640
GCD(290, 832) = ( 290 x 832 ) / 120640
= 290 / 832
= 290
Step2:
LCM(2, 588) = 588
GCD(2, 588) = ( 2 x 588 ) / 588
= 2 / 588
= 2
Step3:
LCM(2, 350) = 350
GCD(2, 350) = ( 2 x 350 ) / 350
= 2 / 350
= 2
So, Greatest Common Divisor of 290, 832, 588, 350 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 290, 832, 588, 350
The greatest common divisor of numbers 290, 832, 588, 350 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 290, 832, 588, 350 is 2.
1. What is the GCD of 290, 832, 588, 350?
GCD of given numbers 290, 832, 588, 350 is 2
2. How to calculate the greatest common divisor of 290, 832, 588, 350?
We can find the highest common divisor of 290, 832, 588, 350 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 290, 832, 588, 350 i.e 2.
3. How can I use the GCD of 290, 832, 588, 350Calculator?
Out the numbers 290, 832, 588, 350 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.