Online GCD Calculator is useful to find the GCD of 759, 351, 207, 381 quickly. Get the easiest ways to solve the greatest common divisor of 759, 351, 207, 381 i.e 3 in different methods as follows.
Given Input numbers are 759, 351, 207, 381
In the factoring method, we have to find the divisors of all numbers
Divisors of 759 :
The positive integer divisors of 759 that completely divides 759 are.
1, 3, 11, 23, 33, 69, 253, 759
Divisors of 351 :
The positive integer divisors of 351 that completely divides 351 are.
1, 3, 9, 13, 27, 39, 117, 351
Divisors of 207 :
The positive integer divisors of 207 that completely divides 207 are.
1, 3, 9, 23, 69, 207
Divisors of 381 :
The positive integer divisors of 381 that completely divides 381 are.
1, 3, 127, 381
GCD of numbers is the greatest common divisor
So, the GCD (759, 351, 207, 381) = 3.
Given numbers are 759, 351, 207, 381
The list of prime factors of all numbers are
Prime factors of 759 are 3 x 11 x 23
Prime factors of 351 are 3 x 3 x 3 x 13
Prime factors of 207 are 3 x 3 x 23
Prime factors of 381 are 3 x 127
The highest common occurrence is 31
Therefore, GCD of 759, 351, 207, 381 is 3.
Given numbers are 759, 351, 207, 381
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(759, 351) = 88803
GCD(759, 351) = ( 759 x 351 ) / 88803
= 759 / 351
= 759
Step2:
LCM(3, 207) = 207
GCD(3, 207) = ( 3 x 207 ) / 207
= 3 / 207
= 3
Step3:
LCM(3, 381) = 381
GCD(3, 381) = ( 3 x 381 ) / 381
= 3 / 381
= 3
So, Greatest Common Divisor of 759, 351, 207, 381 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 759, 351, 207, 381
The greatest common divisor of numbers 759, 351, 207, 381 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 759, 351, 207, 381 is 3.
1. What is the GCD of 759, 351, 207, 381?
GCD of given numbers 759, 351, 207, 381 is 3
2. How to calculate the greatest common divisor of 759, 351, 207, 381?
We can find the highest common divisor of 759, 351, 207, 381 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 759, 351, 207, 381 i.e 3.
3. How can I use the GCD of 759, 351, 207, 381Calculator?
Out the numbers 759, 351, 207, 381 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.