Online GCD Calculator is useful to find the GCD of 418, 198, 650, 972 quickly. Get the easiest ways to solve the greatest common divisor of 418, 198, 650, 972 i.e 2 in different methods as follows.
Given Input numbers are 418, 198, 650, 972
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 198 :
The positive integer divisors of 198 that completely divides 198 are.
1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
Divisors of 650 :
The positive integer divisors of 650 that completely divides 650 are.
1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650
Divisors of 972 :
The positive integer divisors of 972 that completely divides 972 are.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
GCD of numbers is the greatest common divisor
So, the GCD (418, 198, 650, 972) = 2.
Given numbers are 418, 198, 650, 972
The list of prime factors of all numbers are
Prime factors of 418 are 2 x 11 x 19
Prime factors of 198 are 2 x 3 x 3 x 11
Prime factors of 650 are 2 x 5 x 5 x 13
Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3
The highest common occurrence is 21
Therefore, GCD of 418, 198, 650, 972 is 2.
Given numbers are 418, 198, 650, 972
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(418, 198) = 3762
GCD(418, 198) = ( 418 x 198 ) / 3762
= 418 / 198
= 418
Step2:
LCM(22, 650) = 7150
GCD(22, 650) = ( 22 x 650 ) / 7150
= 22 / 650
= 22
Step3:
LCM(2, 972) = 972
GCD(2, 972) = ( 2 x 972 ) / 972
= 2 / 972
= 2
So, Greatest Common Divisor of 418, 198, 650, 972 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 418, 198, 650, 972
The greatest common divisor of numbers 418, 198, 650, 972 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 418, 198, 650, 972 is 2.
1. What is the GCD of 418, 198, 650, 972?
GCD of given numbers 418, 198, 650, 972 is 2
2. How to calculate the greatest common divisor of 418, 198, 650, 972?
We can find the highest common divisor of 418, 198, 650, 972 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, 198, 650, 972 i.e 2.
3. How can I use the GCD of 418, 198, 650, 972Calculator?
Out the numbers 418, 198, 650, 972 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.