LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCD of 200, 361, 175, 612 Calculator

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


Online GCD Calculator is useful to find the GCD of 200, 361, 175, 612 quickly. Get the easiest ways to solve the greatest common divisor of 200, 361, 175, 612 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 200, 361, 175, 612 with Factoring?

Given Input numbers are 200, 361, 175, 612

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

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 361 :

The positive integer divisors of 361 that completely divides 361 are.

1, 19, 361

Divisors of 175 :

The positive integer divisors of 175 that completely divides 175 are.

1, 5, 7, 25, 35, 175

Divisors of 612 :

The positive integer divisors of 612 that completely divides 612 are.

1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612


GCD of numbers is the greatest common divisor

So, the GCD (200, 361, 175, 612) = 1.

Find GCD of 200, 361, 175, 612 using Prime Factorization

Given numbers are 200, 361, 175, 612

The list of prime factors of all numbers are

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

Prime factors of 361 are 19 x 19

Prime factors of 175 are 5 x 5 x 7

Prime factors of 612 are 2 x 2 x 3 x 3 x 17

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

Steps to Calculate GCD of 200, 361, 175, 612 using LCM Formula

Given numbers are 200, 361, 175, 612

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

Apply this formula for all numbers.

Step1:

LCM(200, 361) = 72200

GCD(200, 361) = ( 200 x 361 ) / 72200

= 200 / 361

= 200


Step2:

LCM(1, 175) = 175

GCD(1, 175) = ( 1 x 175 ) / 175

= 1 / 175

= 1


Step3:

LCM(1, 612) = 612

GCD(1, 612) = ( 1 x 612 ) / 612

= 1 / 612

= 1


So, Greatest Common Divisor of 200, 361, 175, 612 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 200, 361, 175, 612

Given numbers are 200, 361, 175, 612
The greatest common divisor of numbers 200, 361, 175, 612 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 200, 361, 175, 612 is 1.

FAQs on GCD of 200, 361, 175, 612 Calculator

1. What is the GCD of 200, 361, 175, 612?

GCD of given numbers 200, 361, 175, 612 is 1


2. How to calculate the greatest common divisor of 200, 361, 175, 612?

We can find the highest common divisor of 200, 361, 175, 612 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 200, 361, 175, 612 i.e 1.


3. How can I use the GCD of 200, 361, 175, 612Calculator?

Out the numbers 200, 361, 175, 612 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.