Online GCD Calculator is useful to find the GCD of 812, 164, 464, 980 quickly. Get the easiest ways to solve the greatest common divisor of 812, 164, 464, 980 i.e 4 in different methods as follows.
Given Input numbers are 812, 164, 464, 980
In the factoring method, we have to find the divisors of all numbers
Divisors of 812 :
The positive integer divisors of 812 that completely divides 812 are.
1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812
Divisors of 164 :
The positive integer divisors of 164 that completely divides 164 are.
1, 2, 4, 41, 82, 164
Divisors of 464 :
The positive integer divisors of 464 that completely divides 464 are.
1, 2, 4, 8, 16, 29, 58, 116, 232, 464
Divisors of 980 :
The positive integer divisors of 980 that completely divides 980 are.
1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980
GCD of numbers is the greatest common divisor
So, the GCD (812, 164, 464, 980) = 4.
Given numbers are 812, 164, 464, 980
The list of prime factors of all numbers are
Prime factors of 812 are 2 x 2 x 7 x 29
Prime factors of 164 are 2 x 2 x 41
Prime factors of 464 are 2 x 2 x 2 x 2 x 29
Prime factors of 980 are 2 x 2 x 5 x 7 x 7
The highest common occurrence is 22
Therefore, GCD of 812, 164, 464, 980 is 4.
Given numbers are 812, 164, 464, 980
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(812, 164) = 33292
GCD(812, 164) = ( 812 x 164 ) / 33292
= 812 / 164
= 812
Step2:
LCM(4, 464) = 464
GCD(4, 464) = ( 4 x 464 ) / 464
= 4 / 464
= 4
Step3:
LCM(4, 980) = 980
GCD(4, 980) = ( 4 x 980 ) / 980
= 4 / 980
= 4
So, Greatest Common Divisor of 812, 164, 464, 980 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 812, 164, 464, 980
The greatest common divisor of numbers 812, 164, 464, 980 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 812, 164, 464, 980 is 4.
1. What is the GCD of 812, 164, 464, 980?
GCD of given numbers 812, 164, 464, 980 is 4
2. How to calculate the greatest common divisor of 812, 164, 464, 980?
We can find the highest common divisor of 812, 164, 464, 980 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 812, 164, 464, 980 i.e 4.
3. How can I use the GCD of 812, 164, 464, 980Calculator?
Out the numbers 812, 164, 464, 980 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.