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GCD of 370, 895, 824, 200 Calculator

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


Online GCD Calculator is useful to find the GCD of 370, 895, 824, 200 quickly. Get the easiest ways to solve the greatest common divisor of 370, 895, 824, 200 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 370, 895, 824, 200 with Factoring?

Given Input numbers are 370, 895, 824, 200

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

Divisors of 370 :

The positive integer divisors of 370 that completely divides 370 are.

1, 2, 5, 10, 37, 74, 185, 370

Divisors of 895 :

The positive integer divisors of 895 that completely divides 895 are.

1, 5, 179, 895

Divisors of 824 :

The positive integer divisors of 824 that completely divides 824 are.

1, 2, 4, 8, 103, 206, 412, 824

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


GCD of numbers is the greatest common divisor

So, the GCD (370, 895, 824, 200) = 1.

Find GCD of 370, 895, 824, 200 using Prime Factorization

Given numbers are 370, 895, 824, 200

The list of prime factors of all numbers are

Prime factors of 370 are 2 x 5 x 37

Prime factors of 895 are 5 x 179

Prime factors of 824 are 2 x 2 x 2 x 103

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

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

Steps to Calculate GCD of 370, 895, 824, 200 using LCM Formula

Given numbers are 370, 895, 824, 200

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

Apply this formula for all numbers.

Step1:

LCM(370, 895) = 66230

GCD(370, 895) = ( 370 x 895 ) / 66230

= 370 / 895

= 370


Step2:

LCM(5, 824) = 4120

GCD(5, 824) = ( 5 x 824 ) / 4120

= 5 / 824

= 5


Step3:

LCM(1, 200) = 200

GCD(1, 200) = ( 1 x 200 ) / 200

= 1 / 200

= 1


So, Greatest Common Divisor of 370, 895, 824, 200 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 370, 895, 824, 200

Given numbers are 370, 895, 824, 200
The greatest common divisor of numbers 370, 895, 824, 200 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 370, 895, 824, 200 is 1.

FAQs on GCD of 370, 895, 824, 200 Calculator

1. What is the GCD of 370, 895, 824, 200?

GCD of given numbers 370, 895, 824, 200 is 1


2. How to calculate the greatest common divisor of 370, 895, 824, 200?

We can find the highest common divisor of 370, 895, 824, 200 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 370, 895, 824, 200 i.e 1.


3. How can I use the GCD of 370, 895, 824, 200Calculator?

Out the numbers 370, 895, 824, 200 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.