Online GCD Calculator is useful to find the GCD of 762, 537, 471, 324 quickly. Get the easiest ways to solve the greatest common divisor of 762, 537, 471, 324 i.e 3 in different methods as follows.
Given Input numbers are 762, 537, 471, 324
In the factoring method, we have to find the divisors of all numbers
Divisors of 762 :
The positive integer divisors of 762 that completely divides 762 are.
1, 2, 3, 6, 127, 254, 381, 762
Divisors of 537 :
The positive integer divisors of 537 that completely divides 537 are.
1, 3, 179, 537
Divisors of 471 :
The positive integer divisors of 471 that completely divides 471 are.
1, 3, 157, 471
Divisors of 324 :
The positive integer divisors of 324 that completely divides 324 are.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324
GCD of numbers is the greatest common divisor
So, the GCD (762, 537, 471, 324) = 3.
Given numbers are 762, 537, 471, 324
The list of prime factors of all numbers are
Prime factors of 762 are 2 x 3 x 127
Prime factors of 537 are 3 x 179
Prime factors of 471 are 3 x 157
Prime factors of 324 are 2 x 2 x 3 x 3 x 3 x 3
The highest common occurrence is 31
Therefore, GCD of 762, 537, 471, 324 is 3.
Given numbers are 762, 537, 471, 324
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(762, 537) = 136398
GCD(762, 537) = ( 762 x 537 ) / 136398
= 762 / 537
= 762
Step2:
LCM(3, 471) = 471
GCD(3, 471) = ( 3 x 471 ) / 471
= 3 / 471
= 3
Step3:
LCM(3, 324) = 324
GCD(3, 324) = ( 3 x 324 ) / 324
= 3 / 324
= 3
So, Greatest Common Divisor of 762, 537, 471, 324 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 762, 537, 471, 324
The greatest common divisor of numbers 762, 537, 471, 324 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 762, 537, 471, 324 is 3.
1. What is the GCD of 762, 537, 471, 324?
GCD of given numbers 762, 537, 471, 324 is 3
2. How to calculate the greatest common divisor of 762, 537, 471, 324?
We can find the highest common divisor of 762, 537, 471, 324 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 762, 537, 471, 324 i.e 3.
3. How can I use the GCD of 762, 537, 471, 324Calculator?
Out the numbers 762, 537, 471, 324 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.