Online GCD Calculator is useful to find the GCD of 290, 366, 760, 676 quickly. Get the easiest ways to solve the greatest common divisor of 290, 366, 760, 676 i.e 2 in different methods as follows.
Given Input numbers are 290, 366, 760, 676
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 366 :
The positive integer divisors of 366 that completely divides 366 are.
1, 2, 3, 6, 61, 122, 183, 366
Divisors of 760 :
The positive integer divisors of 760 that completely divides 760 are.
1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
Divisors of 676 :
The positive integer divisors of 676 that completely divides 676 are.
1, 2, 4, 13, 26, 52, 169, 338, 676
GCD of numbers is the greatest common divisor
So, the GCD (290, 366, 760, 676) = 2.
Given numbers are 290, 366, 760, 676
The list of prime factors of all numbers are
Prime factors of 290 are 2 x 5 x 29
Prime factors of 366 are 2 x 3 x 61
Prime factors of 760 are 2 x 2 x 2 x 5 x 19
Prime factors of 676 are 2 x 2 x 13 x 13
The highest common occurrence is 21
Therefore, GCD of 290, 366, 760, 676 is 2.
Given numbers are 290, 366, 760, 676
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(290, 366) = 53070
GCD(290, 366) = ( 290 x 366 ) / 53070
= 290 / 366
= 290
Step2:
LCM(2, 760) = 760
GCD(2, 760) = ( 2 x 760 ) / 760
= 2 / 760
= 2
Step3:
LCM(2, 676) = 676
GCD(2, 676) = ( 2 x 676 ) / 676
= 2 / 676
= 2
So, Greatest Common Divisor of 290, 366, 760, 676 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 290, 366, 760, 676
The greatest common divisor of numbers 290, 366, 760, 676 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 290, 366, 760, 676 is 2.
1. What is the GCD of 290, 366, 760, 676?
GCD of given numbers 290, 366, 760, 676 is 2
2. How to calculate the greatest common divisor of 290, 366, 760, 676?
We can find the highest common divisor of 290, 366, 760, 676 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, 366, 760, 676 i.e 2.
3. How can I use the GCD of 290, 366, 760, 676Calculator?
Out the numbers 290, 366, 760, 676 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.