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GCD of 699, 900, 791, 842 Calculator

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


Online GCD Calculator is useful to find the GCD of 699, 900, 791, 842 quickly. Get the easiest ways to solve the greatest common divisor of 699, 900, 791, 842 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 699, 900, 791, 842 with Factoring?

Given Input numbers are 699, 900, 791, 842

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

Divisors of 699 :

The positive integer divisors of 699 that completely divides 699 are.

1, 3, 233, 699

Divisors of 900 :

The positive integer divisors of 900 that completely divides 900 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

Divisors of 791 :

The positive integer divisors of 791 that completely divides 791 are.

1, 7, 113, 791

Divisors of 842 :

The positive integer divisors of 842 that completely divides 842 are.

1, 2, 421, 842


GCD of numbers is the greatest common divisor

So, the GCD (699, 900, 791, 842) = 1.

Find GCD of 699, 900, 791, 842 using Prime Factorization

Given numbers are 699, 900, 791, 842

The list of prime factors of all numbers are

Prime factors of 699 are 3 x 233

Prime factors of 900 are 2 x 2 x 3 x 3 x 5 x 5

Prime factors of 791 are 7 x 113

Prime factors of 842 are 2 x 421

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

Steps to Calculate GCD of 699, 900, 791, 842 using LCM Formula

Given numbers are 699, 900, 791, 842

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

Apply this formula for all numbers.

Step1:

LCM(699, 900) = 209700

GCD(699, 900) = ( 699 x 900 ) / 209700

= 699 / 900

= 699


Step2:

LCM(3, 791) = 2373

GCD(3, 791) = ( 3 x 791 ) / 2373

= 3 / 791

= 3


Step3:

LCM(1, 842) = 842

GCD(1, 842) = ( 1 x 842 ) / 842

= 1 / 842

= 1


So, Greatest Common Divisor of 699, 900, 791, 842 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 699, 900, 791, 842

Given numbers are 699, 900, 791, 842
The greatest common divisor of numbers 699, 900, 791, 842 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 699, 900, 791, 842 is 1.

FAQs on GCD of 699, 900, 791, 842 Calculator

1. What is the GCD of 699, 900, 791, 842?

GCD of given numbers 699, 900, 791, 842 is 1


2. How to calculate the greatest common divisor of 699, 900, 791, 842?

We can find the highest common divisor of 699, 900, 791, 842 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 699, 900, 791, 842 i.e 1.


3. How can I use the GCD of 699, 900, 791, 842Calculator?

Out the numbers 699, 900, 791, 842 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.