Online GCD Calculator is useful to find the GCD of 420, 212, 778, 984 quickly. Get the easiest ways to solve the greatest common divisor of 420, 212, 778, 984 i.e 2 in different methods as follows.
Given Input numbers are 420, 212, 778, 984
In the factoring method, we have to find the divisors of all numbers
Divisors of 420 :
The positive integer divisors of 420 that completely divides 420 are.
1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
Divisors of 212 :
The positive integer divisors of 212 that completely divides 212 are.
1, 2, 4, 53, 106, 212
Divisors of 778 :
The positive integer divisors of 778 that completely divides 778 are.
1, 2, 389, 778
Divisors of 984 :
The positive integer divisors of 984 that completely divides 984 are.
1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984
GCD of numbers is the greatest common divisor
So, the GCD (420, 212, 778, 984) = 2.
Given numbers are 420, 212, 778, 984
The list of prime factors of all numbers are
Prime factors of 420 are 2 x 2 x 3 x 5 x 7
Prime factors of 212 are 2 x 2 x 53
Prime factors of 778 are 2 x 389
Prime factors of 984 are 2 x 2 x 2 x 3 x 41
The highest common occurrence is 21
Therefore, GCD of 420, 212, 778, 984 is 2.
Given numbers are 420, 212, 778, 984
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(420, 212) = 22260
GCD(420, 212) = ( 420 x 212 ) / 22260
= 420 / 212
= 420
Step2:
LCM(4, 778) = 1556
GCD(4, 778) = ( 4 x 778 ) / 1556
= 4 / 778
= 4
Step3:
LCM(2, 984) = 984
GCD(2, 984) = ( 2 x 984 ) / 984
= 2 / 984
= 2
So, Greatest Common Divisor of 420, 212, 778, 984 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 420, 212, 778, 984
The greatest common divisor of numbers 420, 212, 778, 984 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 420, 212, 778, 984 is 2.
1. What is the GCD of 420, 212, 778, 984?
GCD of given numbers 420, 212, 778, 984 is 2
2. How to calculate the greatest common divisor of 420, 212, 778, 984?
We can find the highest common divisor of 420, 212, 778, 984 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 420, 212, 778, 984 i.e 2.
3. How can I use the GCD of 420, 212, 778, 984Calculator?
Out the numbers 420, 212, 778, 984 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.