Online GCD Calculator is useful to find the GCD of 708, 778, 206, 180 quickly. Get the easiest ways to solve the greatest common divisor of 708, 778, 206, 180 i.e 2 in different methods as follows.
Given Input numbers are 708, 778, 206, 180
In the factoring method, we have to find the divisors of all numbers
Divisors of 708 :
The positive integer divisors of 708 that completely divides 708 are.
1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708
Divisors of 778 :
The positive integer divisors of 778 that completely divides 778 are.
1, 2, 389, 778
Divisors of 206 :
The positive integer divisors of 206 that completely divides 206 are.
1, 2, 103, 206
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 (708, 778, 206, 180) = 2.
Given numbers are 708, 778, 206, 180
The list of prime factors of all numbers are
Prime factors of 708 are 2 x 2 x 3 x 59
Prime factors of 778 are 2 x 389
Prime factors of 206 are 2 x 103
Prime factors of 180 are 2 x 2 x 3 x 3 x 5
The highest common occurrence is 21
Therefore, GCD of 708, 778, 206, 180 is 2.
Given numbers are 708, 778, 206, 180
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(708, 778) = 275412
GCD(708, 778) = ( 708 x 778 ) / 275412
= 708 / 778
= 708
Step2:
LCM(2, 206) = 206
GCD(2, 206) = ( 2 x 206 ) / 206
= 2 / 206
= 2
Step3:
LCM(2, 180) = 180
GCD(2, 180) = ( 2 x 180 ) / 180
= 2 / 180
= 2
So, Greatest Common Divisor of 708, 778, 206, 180 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 708, 778, 206, 180
The greatest common divisor of numbers 708, 778, 206, 180 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 708, 778, 206, 180 is 2.
1. What is the GCD of 708, 778, 206, 180?
GCD of given numbers 708, 778, 206, 180 is 2
2. How to calculate the greatest common divisor of 708, 778, 206, 180?
We can find the highest common divisor of 708, 778, 206, 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 708, 778, 206, 180 i.e 2.
3. How can I use the GCD of 708, 778, 206, 180Calculator?
Out the numbers 708, 778, 206, 180 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.