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GCD of 985, 200, 357, 810 Calculator

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


Online GCD Calculator is useful to find the GCD of 985, 200, 357, 810 quickly. Get the easiest ways to solve the greatest common divisor of 985, 200, 357, 810 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 985, 200, 357, 810 with Factoring?

Given Input numbers are 985, 200, 357, 810

In the factoring method, we have to find the divisors of all numbers

Divisors of 985 :

The positive integer divisors of 985 that completely divides 985 are.

1, 5, 197, 985

Divisors of 200 :

The positive integer divisors of 200 that completely divides 200 are.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

Divisors of 357 :

The positive integer divisors of 357 that completely divides 357 are.

1, 3, 7, 17, 21, 51, 119, 357

Divisors of 810 :

The positive integer divisors of 810 that completely divides 810 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810


GCD of numbers is the greatest common divisor

So, the GCD (985, 200, 357, 810) = 1.

Find GCD of 985, 200, 357, 810 using Prime Factorization

Given numbers are 985, 200, 357, 810

The list of prime factors of all numbers are

Prime factors of 985 are 5 x 197

Prime factors of 200 are 2 x 2 x 2 x 5 x 5

Prime factors of 357 are 3 x 7 x 17

Prime factors of 810 are 2 x 3 x 3 x 3 x 3 x 5

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

Steps to Calculate GCD of 985, 200, 357, 810 using LCM Formula

Given numbers are 985, 200, 357, 810

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

Apply this formula for all numbers.

Step1:

LCM(985, 200) = 39400

GCD(985, 200) = ( 985 x 200 ) / 39400

= 985 / 200

= 985


Step2:

LCM(5, 357) = 1785

GCD(5, 357) = ( 5 x 357 ) / 1785

= 5 / 357

= 5


Step3:

LCM(1, 810) = 810

GCD(1, 810) = ( 1 x 810 ) / 810

= 1 / 810

= 1


So, Greatest Common Divisor of 985, 200, 357, 810 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 985, 200, 357, 810

Given numbers are 985, 200, 357, 810
The greatest common divisor of numbers 985, 200, 357, 810 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 985, 200, 357, 810 is 1.

FAQs on GCD of 985, 200, 357, 810 Calculator

1. What is the GCD of 985, 200, 357, 810?

GCD of given numbers 985, 200, 357, 810 is 1


2. How to calculate the greatest common divisor of 985, 200, 357, 810?

We can find the highest common divisor of 985, 200, 357, 810 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 985, 200, 357, 810 i.e 1.


3. How can I use the GCD of 985, 200, 357, 810Calculator?

Out the numbers 985, 200, 357, 810 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.