Online GCD Calculator is useful to find the GCD of 753, 270, 511, 470 quickly. Get the easiest ways to solve the greatest common divisor of 753, 270, 511, 470 i.e 1 in different methods as follows.
Given Input numbers are 753, 270, 511, 470
In the factoring method, we have to find the divisors of all numbers
Divisors of 753 :
The positive integer divisors of 753 that completely divides 753 are.
1, 3, 251, 753
Divisors of 270 :
The positive integer divisors of 270 that completely divides 270 are.
1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
Divisors of 511 :
The positive integer divisors of 511 that completely divides 511 are.
1, 7, 73, 511
Divisors of 470 :
The positive integer divisors of 470 that completely divides 470 are.
1, 2, 5, 10, 47, 94, 235, 470
GCD of numbers is the greatest common divisor
So, the GCD (753, 270, 511, 470) = 1.
Given numbers are 753, 270, 511, 470
The list of prime factors of all numbers are
Prime factors of 753 are 3 x 251
Prime factors of 270 are 2 x 3 x 3 x 3 x 5
Prime factors of 511 are 7 x 73
Prime factors of 470 are 2 x 5 x 47
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 753, 270, 511, 470
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(753, 270) = 67770
GCD(753, 270) = ( 753 x 270 ) / 67770
= 753 / 270
= 753
Step2:
LCM(3, 511) = 1533
GCD(3, 511) = ( 3 x 511 ) / 1533
= 3 / 511
= 3
Step3:
LCM(1, 470) = 470
GCD(1, 470) = ( 1 x 470 ) / 470
= 1 / 470
= 1
So, Greatest Common Divisor of 753, 270, 511, 470 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 753, 270, 511, 470
The greatest common divisor of numbers 753, 270, 511, 470 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 753, 270, 511, 470 is 1.
1. What is the GCD of 753, 270, 511, 470?
GCD of given numbers 753, 270, 511, 470 is 1
2. How to calculate the greatest common divisor of 753, 270, 511, 470?
We can find the highest common divisor of 753, 270, 511, 470 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 753, 270, 511, 470 i.e 1.
3. How can I use the GCD of 753, 270, 511, 470Calculator?
Out the numbers 753, 270, 511, 470 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.