Online GCD Calculator is useful to find the GCD of 141, 714, 570, 513 quickly. Get the easiest ways to solve the greatest common divisor of 141, 714, 570, 513 i.e 3 in different methods as follows.
Given Input numbers are 141, 714, 570, 513
In the factoring method, we have to find the divisors of all numbers
Divisors of 141 :
The positive integer divisors of 141 that completely divides 141 are.
1, 3, 47, 141
Divisors of 714 :
The positive integer divisors of 714 that completely divides 714 are.
1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
Divisors of 570 :
The positive integer divisors of 570 that completely divides 570 are.
1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570
Divisors of 513 :
The positive integer divisors of 513 that completely divides 513 are.
1, 3, 9, 19, 27, 57, 171, 513
GCD of numbers is the greatest common divisor
So, the GCD (141, 714, 570, 513) = 3.
Given numbers are 141, 714, 570, 513
The list of prime factors of all numbers are
Prime factors of 141 are 3 x 47
Prime factors of 714 are 2 x 3 x 7 x 17
Prime factors of 570 are 2 x 3 x 5 x 19
Prime factors of 513 are 3 x 3 x 3 x 19
The highest common occurrence is 31
Therefore, GCD of 141, 714, 570, 513 is 3.
Given numbers are 141, 714, 570, 513
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(141, 714) = 33558
GCD(141, 714) = ( 141 x 714 ) / 33558
= 141 / 714
= 141
Step2:
LCM(3, 570) = 570
GCD(3, 570) = ( 3 x 570 ) / 570
= 3 / 570
= 3
Step3:
LCM(3, 513) = 513
GCD(3, 513) = ( 3 x 513 ) / 513
= 3 / 513
= 3
So, Greatest Common Divisor of 141, 714, 570, 513 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 141, 714, 570, 513
The greatest common divisor of numbers 141, 714, 570, 513 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 141, 714, 570, 513 is 3.
1. What is the GCD of 141, 714, 570, 513?
GCD of given numbers 141, 714, 570, 513 is 3
2. How to calculate the greatest common divisor of 141, 714, 570, 513?
We can find the highest common divisor of 141, 714, 570, 513 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 141, 714, 570, 513 i.e 3.
3. How can I use the GCD of 141, 714, 570, 513Calculator?
Out the numbers 141, 714, 570, 513 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.