Online GCD Calculator is useful to find the GCD of 842, 840, 828, 660 quickly. Get the easiest ways to solve the greatest common divisor of 842, 840, 828, 660 i.e 2 in different methods as follows.
Given Input numbers are 842, 840, 828, 660
In the factoring method, we have to find the divisors of all numbers
Divisors of 842 :
The positive integer divisors of 842 that completely divides 842 are.
1, 2, 421, 842
Divisors of 840 :
The positive integer divisors of 840 that completely divides 840 are.
1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840
Divisors of 828 :
The positive integer divisors of 828 that completely divides 828 are.
1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
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
GCD of numbers is the greatest common divisor
So, the GCD (842, 840, 828, 660) = 2.
Given numbers are 842, 840, 828, 660
The list of prime factors of all numbers are
Prime factors of 842 are 2 x 421
Prime factors of 840 are 2 x 2 x 2 x 3 x 5 x 7
Prime factors of 828 are 2 x 2 x 3 x 3 x 23
Prime factors of 660 are 2 x 2 x 3 x 5 x 11
The highest common occurrence is 21
Therefore, GCD of 842, 840, 828, 660 is 2.
Given numbers are 842, 840, 828, 660
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(842, 840) = 353640
GCD(842, 840) = ( 842 x 840 ) / 353640
= 842 / 840
= 842
Step2:
LCM(2, 828) = 828
GCD(2, 828) = ( 2 x 828 ) / 828
= 2 / 828
= 2
Step3:
LCM(2, 660) = 660
GCD(2, 660) = ( 2 x 660 ) / 660
= 2 / 660
= 2
So, Greatest Common Divisor of 842, 840, 828, 660 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 842, 840, 828, 660
The greatest common divisor of numbers 842, 840, 828, 660 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 842, 840, 828, 660 is 2.
1. What is the GCD of 842, 840, 828, 660?
GCD of given numbers 842, 840, 828, 660 is 2
2. How to calculate the greatest common divisor of 842, 840, 828, 660?
We can find the highest common divisor of 842, 840, 828, 660 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 842, 840, 828, 660 i.e 2.
3. How can I use the GCD of 842, 840, 828, 660Calculator?
Out the numbers 842, 840, 828, 660 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.