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GCD of 490, 199, 750, 821 Calculator

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


Online GCD Calculator is useful to find the GCD of 490, 199, 750, 821 quickly. Get the easiest ways to solve the greatest common divisor of 490, 199, 750, 821 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 490, 199, 750, 821 with Factoring?

Given Input numbers are 490, 199, 750, 821

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

Divisors of 490 :

The positive integer divisors of 490 that completely divides 490 are.

1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

Divisors of 199 :

The positive integer divisors of 199 that completely divides 199 are.

1, 199

Divisors of 750 :

The positive integer divisors of 750 that completely divides 750 are.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

Divisors of 821 :

The positive integer divisors of 821 that completely divides 821 are.

1, 821


GCD of numbers is the greatest common divisor

So, the GCD (490, 199, 750, 821) = 1.

Find GCD of 490, 199, 750, 821 using Prime Factorization

Given numbers are 490, 199, 750, 821

The list of prime factors of all numbers are

Prime factors of 490 are 2 x 5 x 7 x 7

Prime factors of 199 are 199

Prime factors of 750 are 2 x 3 x 5 x 5 x 5

Prime factors of 821 are 821

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

Steps to Calculate GCD of 490, 199, 750, 821 using LCM Formula

Given numbers are 490, 199, 750, 821

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

Apply this formula for all numbers.

Step1:

LCM(490, 199) = 97510

GCD(490, 199) = ( 490 x 199 ) / 97510

= 490 / 199

= 490


Step2:

LCM(1, 750) = 750

GCD(1, 750) = ( 1 x 750 ) / 750

= 1 / 750

= 1


Step3:

LCM(1, 821) = 821

GCD(1, 821) = ( 1 x 821 ) / 821

= 1 / 821

= 1


So, Greatest Common Divisor of 490, 199, 750, 821 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 490, 199, 750, 821

Given numbers are 490, 199, 750, 821
The greatest common divisor of numbers 490, 199, 750, 821 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 490, 199, 750, 821 is 1.

FAQs on GCD of 490, 199, 750, 821 Calculator

1. What is the GCD of 490, 199, 750, 821?

GCD of given numbers 490, 199, 750, 821 is 1


2. How to calculate the greatest common divisor of 490, 199, 750, 821?

We can find the highest common divisor of 490, 199, 750, 821 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 490, 199, 750, 821 i.e 1.


3. How can I use the GCD of 490, 199, 750, 821Calculator?

Out the numbers 490, 199, 750, 821 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.