Online GCD Calculator is useful to find the GCD of 960, 660, 674, 892 quickly. Get the easiest ways to solve the greatest common divisor of 960, 660, 674, 892 i.e 2 in different methods as follows.
Given Input numbers are 960, 660, 674, 892
In the factoring method, we have to find the divisors of all numbers
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
Divisors of 660 :
The positive integer divisors of 660 that completely divides 660 are.
1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
Divisors of 674 :
The positive integer divisors of 674 that completely divides 674 are.
1, 2, 337, 674
Divisors of 892 :
The positive integer divisors of 892 that completely divides 892 are.
1, 2, 4, 223, 446, 892
GCD of numbers is the greatest common divisor
So, the GCD (960, 660, 674, 892) = 2.
Given numbers are 960, 660, 674, 892
The list of prime factors of all numbers are
Prime factors of 960 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5
Prime factors of 660 are 2 x 2 x 3 x 5 x 11
Prime factors of 674 are 2 x 337
Prime factors of 892 are 2 x 2 x 223
The highest common occurrence is 21
Therefore, GCD of 960, 660, 674, 892 is 2.
Given numbers are 960, 660, 674, 892
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(960, 660) = 10560
GCD(960, 660) = ( 960 x 660 ) / 10560
= 960 / 660
= 960
Step2:
LCM(60, 674) = 20220
GCD(60, 674) = ( 60 x 674 ) / 20220
= 60 / 674
= 60
Step3:
LCM(2, 892) = 892
GCD(2, 892) = ( 2 x 892 ) / 892
= 2 / 892
= 2
So, Greatest Common Divisor of 960, 660, 674, 892 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 960, 660, 674, 892
The greatest common divisor of numbers 960, 660, 674, 892 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 960, 660, 674, 892 is 2.
1. What is the GCD of 960, 660, 674, 892?
GCD of given numbers 960, 660, 674, 892 is 2
2. How to calculate the greatest common divisor of 960, 660, 674, 892?
We can find the highest common divisor of 960, 660, 674, 892 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 960, 660, 674, 892 i.e 2.
3. How can I use the GCD of 960, 660, 674, 892Calculator?
Out the numbers 960, 660, 674, 892 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.