Online GCD Calculator is useful to find the GCD of 712, 934, 160, 120 quickly. Get the easiest ways to solve the greatest common divisor of 712, 934, 160, 120 i.e 2 in different methods as follows.
Given Input numbers are 712, 934, 160, 120
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 934 :
The positive integer divisors of 934 that completely divides 934 are.
1, 2, 467, 934
Divisors of 160 :
The positive integer divisors of 160 that completely divides 160 are.
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160
Divisors of 120 :
The positive integer divisors of 120 that completely divides 120 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
GCD of numbers is the greatest common divisor
So, the GCD (712, 934, 160, 120) = 2.
Given numbers are 712, 934, 160, 120
The list of prime factors of all numbers are
Prime factors of 712 are 2 x 2 x 2 x 89
Prime factors of 934 are 2 x 467
Prime factors of 160 are 2 x 2 x 2 x 2 x 2 x 5
Prime factors of 120 are 2 x 2 x 2 x 3 x 5
The highest common occurrence is 21
Therefore, GCD of 712, 934, 160, 120 is 2.
Given numbers are 712, 934, 160, 120
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(712, 934) = 332504
GCD(712, 934) = ( 712 x 934 ) / 332504
= 712 / 934
= 712
Step2:
LCM(2, 160) = 160
GCD(2, 160) = ( 2 x 160 ) / 160
= 2 / 160
= 2
Step3:
LCM(2, 120) = 120
GCD(2, 120) = ( 2 x 120 ) / 120
= 2 / 120
= 2
So, Greatest Common Divisor of 712, 934, 160, 120 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 712, 934, 160, 120
The greatest common divisor of numbers 712, 934, 160, 120 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 712, 934, 160, 120 is 2.
1. What is the GCD of 712, 934, 160, 120?
GCD of given numbers 712, 934, 160, 120 is 2
2. How to calculate the greatest common divisor of 712, 934, 160, 120?
We can find the highest common divisor of 712, 934, 160, 120 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, 934, 160, 120 i.e 2.
3. How can I use the GCD of 712, 934, 160, 120Calculator?
Out the numbers 712, 934, 160, 120 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.