Online GCD Calculator is useful to find the GCD of 362, 132, 282, 357 quickly. Get the easiest ways to solve the greatest common divisor of 362, 132, 282, 357 i.e 1 in different methods as follows.
Given Input numbers are 362, 132, 282, 357
In the factoring method, we have to find the divisors of all numbers
Divisors of 362 :
The positive integer divisors of 362 that completely divides 362 are.
1, 2, 181, 362
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
Divisors of 282 :
The positive integer divisors of 282 that completely divides 282 are.
1, 2, 3, 6, 47, 94, 141, 282
Divisors of 357 :
The positive integer divisors of 357 that completely divides 357 are.
1, 3, 7, 17, 21, 51, 119, 357
GCD of numbers is the greatest common divisor
So, the GCD (362, 132, 282, 357) = 1.
Given numbers are 362, 132, 282, 357
The list of prime factors of all numbers are
Prime factors of 362 are 2 x 181
Prime factors of 132 are 2 x 2 x 3 x 11
Prime factors of 282 are 2 x 3 x 47
Prime factors of 357 are 3 x 7 x 17
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 362, 132, 282, 357
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(362, 132) = 23892
GCD(362, 132) = ( 362 x 132 ) / 23892
= 362 / 132
= 362
Step2:
LCM(2, 282) = 282
GCD(2, 282) = ( 2 x 282 ) / 282
= 2 / 282
= 2
Step3:
LCM(2, 357) = 714
GCD(2, 357) = ( 2 x 357 ) / 714
= 2 / 357
= 2
So, Greatest Common Divisor of 362, 132, 282, 357 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 362, 132, 282, 357
The greatest common divisor of numbers 362, 132, 282, 357 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 362, 132, 282, 357 is 1.
1. What is the GCD of 362, 132, 282, 357?
GCD of given numbers 362, 132, 282, 357 is 1
2. How to calculate the greatest common divisor of 362, 132, 282, 357?
We can find the highest common divisor of 362, 132, 282, 357 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 362, 132, 282, 357 i.e 1.
3. How can I use the GCD of 362, 132, 282, 357Calculator?
Out the numbers 362, 132, 282, 357 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.