Online GCD Calculator is useful to find the GCD of 276, 596, 696, 180 quickly. Get the easiest ways to solve the greatest common divisor of 276, 596, 696, 180 i.e 4 in different methods as follows.
Given Input numbers are 276, 596, 696, 180
In the factoring method, we have to find the divisors of all numbers
Divisors of 276 :
The positive integer divisors of 276 that completely divides 276 are.
1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276
Divisors of 596 :
The positive integer divisors of 596 that completely divides 596 are.
1, 2, 4, 149, 298, 596
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 180 :
The positive integer divisors of 180 that completely divides 180 are.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
GCD of numbers is the greatest common divisor
So, the GCD (276, 596, 696, 180) = 4.
Given numbers are 276, 596, 696, 180
The list of prime factors of all numbers are
Prime factors of 276 are 2 x 2 x 3 x 23
Prime factors of 596 are 2 x 2 x 149
Prime factors of 696 are 2 x 2 x 2 x 3 x 29
Prime factors of 180 are 2 x 2 x 3 x 3 x 5
The highest common occurrence is 22
Therefore, GCD of 276, 596, 696, 180 is 4.
Given numbers are 276, 596, 696, 180
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(276, 596) = 41124
GCD(276, 596) = ( 276 x 596 ) / 41124
= 276 / 596
= 276
Step2:
LCM(4, 696) = 696
GCD(4, 696) = ( 4 x 696 ) / 696
= 4 / 696
= 4
Step3:
LCM(4, 180) = 180
GCD(4, 180) = ( 4 x 180 ) / 180
= 4 / 180
= 4
So, Greatest Common Divisor of 276, 596, 696, 180 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 276, 596, 696, 180
The greatest common divisor of numbers 276, 596, 696, 180 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 276, 596, 696, 180 is 4.
1. What is the GCD of 276, 596, 696, 180?
GCD of given numbers 276, 596, 696, 180 is 4
2. How to calculate the greatest common divisor of 276, 596, 696, 180?
We can find the highest common divisor of 276, 596, 696, 180 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 276, 596, 696, 180 i.e 4.
3. How can I use the GCD of 276, 596, 696, 180Calculator?
Out the numbers 276, 596, 696, 180 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.