Online GCD Calculator is useful to find the GCD of 732, 141, 759, 387 quickly. Get the easiest ways to solve the greatest common divisor of 732, 141, 759, 387 i.e 3 in different methods as follows.
Given Input numbers are 732, 141, 759, 387
In the factoring method, we have to find the divisors of all numbers
Divisors of 732 :
The positive integer divisors of 732 that completely divides 732 are.
1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732
Divisors of 141 :
The positive integer divisors of 141 that completely divides 141 are.
1, 3, 47, 141
Divisors of 759 :
The positive integer divisors of 759 that completely divides 759 are.
1, 3, 11, 23, 33, 69, 253, 759
Divisors of 387 :
The positive integer divisors of 387 that completely divides 387 are.
1, 3, 9, 43, 129, 387
GCD of numbers is the greatest common divisor
So, the GCD (732, 141, 759, 387) = 3.
Given numbers are 732, 141, 759, 387
The list of prime factors of all numbers are
Prime factors of 732 are 2 x 2 x 3 x 61
Prime factors of 141 are 3 x 47
Prime factors of 759 are 3 x 11 x 23
Prime factors of 387 are 3 x 3 x 43
The highest common occurrence is 31
Therefore, GCD of 732, 141, 759, 387 is 3.
Given numbers are 732, 141, 759, 387
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(732, 141) = 34404
GCD(732, 141) = ( 732 x 141 ) / 34404
= 732 / 141
= 732
Step2:
LCM(3, 759) = 759
GCD(3, 759) = ( 3 x 759 ) / 759
= 3 / 759
= 3
Step3:
LCM(3, 387) = 387
GCD(3, 387) = ( 3 x 387 ) / 387
= 3 / 387
= 3
So, Greatest Common Divisor of 732, 141, 759, 387 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 732, 141, 759, 387
The greatest common divisor of numbers 732, 141, 759, 387 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 732, 141, 759, 387 is 3.
1. What is the GCD of 732, 141, 759, 387?
GCD of given numbers 732, 141, 759, 387 is 3
2. How to calculate the greatest common divisor of 732, 141, 759, 387?
We can find the highest common divisor of 732, 141, 759, 387 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 732, 141, 759, 387 i.e 3.
3. How can I use the GCD of 732, 141, 759, 387Calculator?
Out the numbers 732, 141, 759, 387 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.