Online GCD Calculator is useful to find the GCD of 716, 662, 827, 960 quickly. Get the easiest ways to solve the greatest common divisor of 716, 662, 827, 960 i.e 1 in different methods as follows.
Given Input numbers are 716, 662, 827, 960
In the factoring method, we have to find the divisors of all numbers
Divisors of 716 :
The positive integer divisors of 716 that completely divides 716 are.
1, 2, 4, 179, 358, 716
Divisors of 662 :
The positive integer divisors of 662 that completely divides 662 are.
1, 2, 331, 662
Divisors of 827 :
The positive integer divisors of 827 that completely divides 827 are.
1, 827
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 (716, 662, 827, 960) = 1.
Given numbers are 716, 662, 827, 960
The list of prime factors of all numbers are
Prime factors of 716 are 2 x 2 x 179
Prime factors of 662 are 2 x 331
Prime factors of 827 are 827
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 716, 662, 827, 960
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(716, 662) = 236996
GCD(716, 662) = ( 716 x 662 ) / 236996
= 716 / 662
= 716
Step2:
LCM(2, 827) = 1654
GCD(2, 827) = ( 2 x 827 ) / 1654
= 2 / 827
= 2
Step3:
LCM(1, 960) = 960
GCD(1, 960) = ( 1 x 960 ) / 960
= 1 / 960
= 1
So, Greatest Common Divisor of 716, 662, 827, 960 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 716, 662, 827, 960
The greatest common divisor of numbers 716, 662, 827, 960 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 716, 662, 827, 960 is 1.
1. What is the GCD of 716, 662, 827, 960?
GCD of given numbers 716, 662, 827, 960 is 1
2. How to calculate the greatest common divisor of 716, 662, 827, 960?
We can find the highest common divisor of 716, 662, 827, 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 716, 662, 827, 960 i.e 1.
3. How can I use the GCD of 716, 662, 827, 960Calculator?
Out the numbers 716, 662, 827, 960 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.