Online GCD Calculator is useful to find the GCD of 160, 750, 678 quickly. Get the easiest ways to solve the greatest common divisor of 160, 750, 678 i.e 2 in different methods as follows.
Given Input numbers are 160, 750, 678
In the factoring method, we have to find the divisors of all numbers
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 750 :
The positive integer divisors of 750 that completely divides 750 are.
1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750
Divisors of 678 :
The positive integer divisors of 678 that completely divides 678 are.
1, 2, 3, 6, 113, 226, 339, 678
GCD of numbers is the greatest common divisor
So, the GCD (160, 750, 678) = 2.
Given numbers are 160, 750, 678
The list of prime factors of all numbers are
Prime factors of 160 are 2 x 2 x 2 x 2 x 2 x 5
Prime factors of 750 are 2 x 3 x 5 x 5 x 5
Prime factors of 678 are 2 x 3 x 113
The highest common occurrence is 21
Therefore, GCD of 160, 750, 678 is 2.
Given numbers are 160, 750, 678
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(160, 750) = 12000
GCD(160, 750) = ( 160 x 750 ) / 12000
= 160 / 750
= 160
Step2:
LCM(10, 678) = 3390
GCD(10, 678) = ( 10 x 678 ) / 3390
= 10 / 678
= 10
So, Greatest Common Divisor of 160, 750, 678 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 160, 750, 678
The greatest common divisor of numbers 160, 750, 678 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 160, 750, 678 is 2.
1. What is the GCD of 160, 750, 678?
GCD of given numbers 160, 750, 678 is 2
2. How to calculate the greatest common divisor of 160, 750, 678?
We can find the highest common divisor of 160, 750, 678 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 160, 750, 678 i.e 2.
3. How can I use the GCD of 160, 750, 678Calculator?
Out the numbers 160, 750, 678 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.