Online GCD Calculator is useful to find the GCD of 418, 852, 872, 980 quickly. Get the easiest ways to solve the greatest common divisor of 418, 852, 872, 980 i.e 2 in different methods as follows.
Given Input numbers are 418, 852, 872, 980
In the factoring method, we have to find the divisors of all numbers
Divisors of 418 :
The positive integer divisors of 418 that completely divides 418 are.
1, 2, 11, 19, 22, 38, 209, 418
Divisors of 852 :
The positive integer divisors of 852 that completely divides 852 are.
1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852
Divisors of 872 :
The positive integer divisors of 872 that completely divides 872 are.
1, 2, 4, 8, 109, 218, 436, 872
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 (418, 852, 872, 980) = 2.
Given numbers are 418, 852, 872, 980
The list of prime factors of all numbers are
Prime factors of 418 are 2 x 11 x 19
Prime factors of 852 are 2 x 2 x 3 x 71
Prime factors of 872 are 2 x 2 x 2 x 109
Prime factors of 980 are 2 x 2 x 5 x 7 x 7
The highest common occurrence is 21
Therefore, GCD of 418, 852, 872, 980 is 2.
Given numbers are 418, 852, 872, 980
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(418, 852) = 178068
GCD(418, 852) = ( 418 x 852 ) / 178068
= 418 / 852
= 418
Step2:
LCM(2, 872) = 872
GCD(2, 872) = ( 2 x 872 ) / 872
= 2 / 872
= 2
Step3:
LCM(2, 980) = 980
GCD(2, 980) = ( 2 x 980 ) / 980
= 2 / 980
= 2
So, Greatest Common Divisor of 418, 852, 872, 980 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 418, 852, 872, 980
The greatest common divisor of numbers 418, 852, 872, 980 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 418, 852, 872, 980 is 2.
1. What is the GCD of 418, 852, 872, 980?
GCD of given numbers 418, 852, 872, 980 is 2
2. How to calculate the greatest common divisor of 418, 852, 872, 980?
We can find the highest common divisor of 418, 852, 872, 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 418, 852, 872, 980 i.e 2.
3. How can I use the GCD of 418, 852, 872, 980Calculator?
Out the numbers 418, 852, 872, 980 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.