Online GCD Calculator is useful to find the GCD of 426, 267, 198, 645 quickly. Get the easiest ways to solve the greatest common divisor of 426, 267, 198, 645 i.e 3 in different methods as follows.
Given Input numbers are 426, 267, 198, 645
In the factoring method, we have to find the divisors of all numbers
Divisors of 426 :
The positive integer divisors of 426 that completely divides 426 are.
1, 2, 3, 6, 71, 142, 213, 426
Divisors of 267 :
The positive integer divisors of 267 that completely divides 267 are.
1, 3, 89, 267
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 645 :
The positive integer divisors of 645 that completely divides 645 are.
1, 3, 5, 15, 43, 129, 215, 645
GCD of numbers is the greatest common divisor
So, the GCD (426, 267, 198, 645) = 3.
Given numbers are 426, 267, 198, 645
The list of prime factors of all numbers are
Prime factors of 426 are 2 x 3 x 71
Prime factors of 267 are 3 x 89
Prime factors of 198 are 2 x 3 x 3 x 11
Prime factors of 645 are 3 x 5 x 43
The highest common occurrence is 31
Therefore, GCD of 426, 267, 198, 645 is 3.
Given numbers are 426, 267, 198, 645
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(426, 267) = 37914
GCD(426, 267) = ( 426 x 267 ) / 37914
= 426 / 267
= 426
Step2:
LCM(3, 198) = 198
GCD(3, 198) = ( 3 x 198 ) / 198
= 3 / 198
= 3
Step3:
LCM(3, 645) = 645
GCD(3, 645) = ( 3 x 645 ) / 645
= 3 / 645
= 3
So, Greatest Common Divisor of 426, 267, 198, 645 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 426, 267, 198, 645
The greatest common divisor of numbers 426, 267, 198, 645 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 426, 267, 198, 645 is 3.
1. What is the GCD of 426, 267, 198, 645?
GCD of given numbers 426, 267, 198, 645 is 3
2. How to calculate the greatest common divisor of 426, 267, 198, 645?
We can find the highest common divisor of 426, 267, 198, 645 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 426, 267, 198, 645 i.e 3.
3. How can I use the GCD of 426, 267, 198, 645Calculator?
Out the numbers 426, 267, 198, 645 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.