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GCD of 357, 575, 712, 282 Calculator

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


Online GCD Calculator is useful to find the GCD of 357, 575, 712, 282 quickly. Get the easiest ways to solve the greatest common divisor of 357, 575, 712, 282 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 357, 575, 712, 282 with Factoring?

Given Input numbers are 357, 575, 712, 282

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 575 :

The positive integer divisors of 575 that completely divides 575 are.

1, 5, 23, 25, 115, 575

Divisors of 712 :

The positive integer divisors of 712 that completely divides 712 are.

1, 2, 4, 8, 89, 178, 356, 712

Divisors of 282 :

The positive integer divisors of 282 that completely divides 282 are.

1, 2, 3, 6, 47, 94, 141, 282


GCD of numbers is the greatest common divisor

So, the GCD (357, 575, 712, 282) = 1.

Find GCD of 357, 575, 712, 282 using Prime Factorization

Given numbers are 357, 575, 712, 282

The list of prime factors of all numbers are

Prime factors of 357 are 3 x 7 x 17

Prime factors of 575 are 5 x 5 x 23

Prime factors of 712 are 2 x 2 x 2 x 89

Prime factors of 282 are 2 x 3 x 47

The above numbers do not have any common prime factor. So GCD is 1

Steps to Calculate GCD of 357, 575, 712, 282 using LCM Formula

Given numbers are 357, 575, 712, 282

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(357, 575) = 205275

GCD(357, 575) = ( 357 x 575 ) / 205275

= 357 / 575

= 357


Step2:

LCM(1, 712) = 712

GCD(1, 712) = ( 1 x 712 ) / 712

= 1 / 712

= 1


Step3:

LCM(1, 282) = 282

GCD(1, 282) = ( 1 x 282 ) / 282

= 1 / 282

= 1


So, Greatest Common Divisor of 357, 575, 712, 282 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 357, 575, 712, 282

Given numbers are 357, 575, 712, 282
The greatest common divisor of numbers 357, 575, 712, 282 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 357, 575, 712, 282 is 1.

FAQs on GCD of 357, 575, 712, 282 Calculator

1. What is the GCD of 357, 575, 712, 282?

GCD of given numbers 357, 575, 712, 282 is 1


2. How to calculate the greatest common divisor of 357, 575, 712, 282?

We can find the highest common divisor of 357, 575, 712, 282 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, 575, 712, 282 i.e 1.


3. How can I use the GCD of 357, 575, 712, 282Calculator?

Out the numbers 357, 575, 712, 282 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.