Online GCD Calculator is useful to find the GCD of 160, 423, 676, 960 quickly. Get the easiest ways to solve the greatest common divisor of 160, 423, 676, 960 i.e 1 in different methods as follows.
Given Input numbers are 160, 423, 676, 960
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 423 :
The positive integer divisors of 423 that completely divides 423 are.
1, 3, 9, 47, 141, 423
Divisors of 676 :
The positive integer divisors of 676 that completely divides 676 are.
1, 2, 4, 13, 26, 52, 169, 338, 676
Divisors of 960 :
The positive integer divisors of 960 that completely divides 960 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960
GCD of numbers is the greatest common divisor
So, the GCD (160, 423, 676, 960) = 1.
Given numbers are 160, 423, 676, 960
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 423 are 3 x 3 x 47
Prime factors of 676 are 2 x 2 x 13 x 13
Prime factors of 960 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 160, 423, 676, 960
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(160, 423) = 67680
GCD(160, 423) = ( 160 x 423 ) / 67680
= 160 / 423
= 160
Step2:
LCM(1, 676) = 676
GCD(1, 676) = ( 1 x 676 ) / 676
= 1 / 676
= 1
Step3:
LCM(1, 960) = 960
GCD(1, 960) = ( 1 x 960 ) / 960
= 1 / 960
= 1
So, Greatest Common Divisor of 160, 423, 676, 960 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 160, 423, 676, 960
The greatest common divisor of numbers 160, 423, 676, 960 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 160, 423, 676, 960 is 1.
1. What is the GCD of 160, 423, 676, 960?
GCD of given numbers 160, 423, 676, 960 is 1
2. How to calculate the greatest common divisor of 160, 423, 676, 960?
We can find the highest common divisor of 160, 423, 676, 960 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, 423, 676, 960 i.e 1.
3. How can I use the GCD of 160, 423, 676, 960Calculator?
Out the numbers 160, 423, 676, 960 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.