Online GCD Calculator is useful to find the GCD of 898, 326, 976, 420 quickly. Get the easiest ways to solve the greatest common divisor of 898, 326, 976, 420 i.e 2 in different methods as follows.
Given Input numbers are 898, 326, 976, 420
In the factoring method, we have to find the divisors of all numbers
Divisors of 898 :
The positive integer divisors of 898 that completely divides 898 are.
1, 2, 449, 898
Divisors of 326 :
The positive integer divisors of 326 that completely divides 326 are.
1, 2, 163, 326
Divisors of 976 :
The positive integer divisors of 976 that completely divides 976 are.
1, 2, 4, 8, 16, 61, 122, 244, 488, 976
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
GCD of numbers is the greatest common divisor
So, the GCD (898, 326, 976, 420) = 2.
Given numbers are 898, 326, 976, 420
The list of prime factors of all numbers are
Prime factors of 898 are 2 x 449
Prime factors of 326 are 2 x 163
Prime factors of 976 are 2 x 2 x 2 x 2 x 61
Prime factors of 420 are 2 x 2 x 3 x 5 x 7
The highest common occurrence is 21
Therefore, GCD of 898, 326, 976, 420 is 2.
Given numbers are 898, 326, 976, 420
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(898, 326) = 146374
GCD(898, 326) = ( 898 x 326 ) / 146374
= 898 / 326
= 898
Step2:
LCM(2, 976) = 976
GCD(2, 976) = ( 2 x 976 ) / 976
= 2 / 976
= 2
Step3:
LCM(2, 420) = 420
GCD(2, 420) = ( 2 x 420 ) / 420
= 2 / 420
= 2
So, Greatest Common Divisor of 898, 326, 976, 420 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 898, 326, 976, 420
The greatest common divisor of numbers 898, 326, 976, 420 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 898, 326, 976, 420 is 2.
1. What is the GCD of 898, 326, 976, 420?
GCD of given numbers 898, 326, 976, 420 is 2
2. How to calculate the greatest common divisor of 898, 326, 976, 420?
We can find the highest common divisor of 898, 326, 976, 420 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 898, 326, 976, 420 i.e 2.
3. How can I use the GCD of 898, 326, 976, 420Calculator?
Out the numbers 898, 326, 976, 420 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.