Online GCD Calculator is useful to find the GCD of 645, 945, 267, 138 quickly. Get the easiest ways to solve the greatest common divisor of 645, 945, 267, 138 i.e 3 in different methods as follows.
Given Input numbers are 645, 945, 267, 138
In the factoring method, we have to find the divisors of all numbers
Divisors of 645 :
The positive integer divisors of 645 that completely divides 645 are.
1, 3, 5, 15, 43, 129, 215, 645
Divisors of 945 :
The positive integer divisors of 945 that completely divides 945 are.
1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
Divisors of 267 :
The positive integer divisors of 267 that completely divides 267 are.
1, 3, 89, 267
Divisors of 138 :
The positive integer divisors of 138 that completely divides 138 are.
1, 2, 3, 6, 23, 46, 69, 138
GCD of numbers is the greatest common divisor
So, the GCD (645, 945, 267, 138) = 3.
Given numbers are 645, 945, 267, 138
The list of prime factors of all numbers are
Prime factors of 645 are 3 x 5 x 43
Prime factors of 945 are 3 x 3 x 3 x 5 x 7
Prime factors of 267 are 3 x 89
Prime factors of 138 are 2 x 3 x 23
The highest common occurrence is 31
Therefore, GCD of 645, 945, 267, 138 is 3.
Given numbers are 645, 945, 267, 138
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(645, 945) = 40635
GCD(645, 945) = ( 645 x 945 ) / 40635
= 645 / 945
= 645
Step2:
LCM(15, 267) = 1335
GCD(15, 267) = ( 15 x 267 ) / 1335
= 15 / 267
= 15
Step3:
LCM(3, 138) = 138
GCD(3, 138) = ( 3 x 138 ) / 138
= 3 / 138
= 3
So, Greatest Common Divisor of 645, 945, 267, 138 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 645, 945, 267, 138
The greatest common divisor of numbers 645, 945, 267, 138 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 645, 945, 267, 138 is 3.
1. What is the GCD of 645, 945, 267, 138?
GCD of given numbers 645, 945, 267, 138 is 3
2. How to calculate the greatest common divisor of 645, 945, 267, 138?
We can find the highest common divisor of 645, 945, 267, 138 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 645, 945, 267, 138 i.e 3.
3. How can I use the GCD of 645, 945, 267, 138Calculator?
Out the numbers 645, 945, 267, 138 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.