Online GCD Calculator is useful to find the GCD of 712, 340, 998, 180 quickly. Get the easiest ways to solve the greatest common divisor of 712, 340, 998, 180 i.e 2 in different methods as follows.
Given Input numbers are 712, 340, 998, 180
In the factoring method, we have to find the divisors of all numbers
Divisors of 712 :
The positive integer divisors of 712 that completely divides 712 are.
1, 2, 4, 8, 89, 178, 356, 712
Divisors of 340 :
The positive integer divisors of 340 that completely divides 340 are.
1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340
Divisors of 998 :
The positive integer divisors of 998 that completely divides 998 are.
1, 2, 499, 998
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 (712, 340, 998, 180) = 2.
Given numbers are 712, 340, 998, 180
The list of prime factors of all numbers are
Prime factors of 712 are 2 x 2 x 2 x 89
Prime factors of 340 are 2 x 2 x 5 x 17
Prime factors of 998 are 2 x 499
Prime factors of 180 are 2 x 2 x 3 x 3 x 5
The highest common occurrence is 21
Therefore, GCD of 712, 340, 998, 180 is 2.
Given numbers are 712, 340, 998, 180
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(712, 340) = 60520
GCD(712, 340) = ( 712 x 340 ) / 60520
= 712 / 340
= 712
Step2:
LCM(4, 998) = 1996
GCD(4, 998) = ( 4 x 998 ) / 1996
= 4 / 998
= 4
Step3:
LCM(2, 180) = 180
GCD(2, 180) = ( 2 x 180 ) / 180
= 2 / 180
= 2
So, Greatest Common Divisor of 712, 340, 998, 180 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 712, 340, 998, 180
The greatest common divisor of numbers 712, 340, 998, 180 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 712, 340, 998, 180 is 2.
1. What is the GCD of 712, 340, 998, 180?
GCD of given numbers 712, 340, 998, 180 is 2
2. How to calculate the greatest common divisor of 712, 340, 998, 180?
We can find the highest common divisor of 712, 340, 998, 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 712, 340, 998, 180 i.e 2.
3. How can I use the GCD of 712, 340, 998, 180Calculator?
Out the numbers 712, 340, 998, 180 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.