Online GCD Calculator is useful to find the GCD of 357, 141, 570, 132 quickly. Get the easiest ways to solve the greatest common divisor of 357, 141, 570, 132 i.e 3 in different methods as follows.
Given Input numbers are 357, 141, 570, 132
In the factoring method, we have to find the divisors of all numbers
Divisors of 357 :
The positive integer divisors of 357 that completely divides 357 are.
1, 3, 7, 17, 21, 51, 119, 357
Divisors of 141 :
The positive integer divisors of 141 that completely divides 141 are.
1, 3, 47, 141
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 132 :
The positive integer divisors of 132 that completely divides 132 are.
1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132
GCD of numbers is the greatest common divisor
So, the GCD (357, 141, 570, 132) = 3.
Given numbers are 357, 141, 570, 132
The list of prime factors of all numbers are
Prime factors of 357 are 3 x 7 x 17
Prime factors of 141 are 3 x 47
Prime factors of 570 are 2 x 3 x 5 x 19
Prime factors of 132 are 2 x 2 x 3 x 11
The highest common occurrence is 31
Therefore, GCD of 357, 141, 570, 132 is 3.
Given numbers are 357, 141, 570, 132
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(357, 141) = 16779
GCD(357, 141) = ( 357 x 141 ) / 16779
= 357 / 141
= 357
Step2:
LCM(3, 570) = 570
GCD(3, 570) = ( 3 x 570 ) / 570
= 3 / 570
= 3
Step3:
LCM(3, 132) = 132
GCD(3, 132) = ( 3 x 132 ) / 132
= 3 / 132
= 3
So, Greatest Common Divisor of 357, 141, 570, 132 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 357, 141, 570, 132
The greatest common divisor of numbers 357, 141, 570, 132 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 357, 141, 570, 132 is 3.
1. What is the GCD of 357, 141, 570, 132?
GCD of given numbers 357, 141, 570, 132 is 3
2. How to calculate the greatest common divisor of 357, 141, 570, 132?
We can find the highest common divisor of 357, 141, 570, 132 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 357, 141, 570, 132 i.e 3.
3. How can I use the GCD of 357, 141, 570, 132Calculator?
Out the numbers 357, 141, 570, 132 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.