Online GCD Calculator is useful to find the GCD of 840, 832, 978, 396 quickly. Get the easiest ways to solve the greatest common divisor of 840, 832, 978, 396 i.e 2 in different methods as follows.
Given Input numbers are 840, 832, 978, 396
In the factoring method, we have to find the divisors of all numbers
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 832 :
The positive integer divisors of 832 that completely divides 832 are.
1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832
Divisors of 978 :
The positive integer divisors of 978 that completely divides 978 are.
1, 2, 3, 6, 163, 326, 489, 978
Divisors of 396 :
The positive integer divisors of 396 that completely divides 396 are.
1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
GCD of numbers is the greatest common divisor
So, the GCD (840, 832, 978, 396) = 2.
Given numbers are 840, 832, 978, 396
The list of prime factors of all numbers are
Prime factors of 840 are 2 x 2 x 2 x 3 x 5 x 7
Prime factors of 832 are 2 x 2 x 2 x 2 x 2 x 2 x 13
Prime factors of 978 are 2 x 3 x 163
Prime factors of 396 are 2 x 2 x 3 x 3 x 11
The highest common occurrence is 21
Therefore, GCD of 840, 832, 978, 396 is 2.
Given numbers are 840, 832, 978, 396
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(840, 832) = 87360
GCD(840, 832) = ( 840 x 832 ) / 87360
= 840 / 832
= 840
Step2:
LCM(8, 978) = 3912
GCD(8, 978) = ( 8 x 978 ) / 3912
= 8 / 978
= 8
Step3:
LCM(2, 396) = 396
GCD(2, 396) = ( 2 x 396 ) / 396
= 2 / 396
= 2
So, Greatest Common Divisor of 840, 832, 978, 396 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 840, 832, 978, 396
The greatest common divisor of numbers 840, 832, 978, 396 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 840, 832, 978, 396 is 2.
1. What is the GCD of 840, 832, 978, 396?
GCD of given numbers 840, 832, 978, 396 is 2
2. How to calculate the greatest common divisor of 840, 832, 978, 396?
We can find the highest common divisor of 840, 832, 978, 396 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 840, 832, 978, 396 i.e 2.
3. How can I use the GCD of 840, 832, 978, 396Calculator?
Out the numbers 840, 832, 978, 396 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.