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GCD of 831, 680, 852, 698 Calculator

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


Online GCD Calculator is useful to find the GCD of 831, 680, 852, 698 quickly. Get the easiest ways to solve the greatest common divisor of 831, 680, 852, 698 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 831, 680, 852, 698 with Factoring?

Given Input numbers are 831, 680, 852, 698

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

Divisors of 831 :

The positive integer divisors of 831 that completely divides 831 are.

1, 3, 277, 831

Divisors of 680 :

The positive integer divisors of 680 that completely divides 680 are.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

Divisors of 852 :

The positive integer divisors of 852 that completely divides 852 are.

1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

Divisors of 698 :

The positive integer divisors of 698 that completely divides 698 are.

1, 2, 349, 698


GCD of numbers is the greatest common divisor

So, the GCD (831, 680, 852, 698) = 1.

Find GCD of 831, 680, 852, 698 using Prime Factorization

Given numbers are 831, 680, 852, 698

The list of prime factors of all numbers are

Prime factors of 831 are 3 x 277

Prime factors of 680 are 2 x 2 x 2 x 5 x 17

Prime factors of 852 are 2 x 2 x 3 x 71

Prime factors of 698 are 2 x 349

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

Steps to Calculate GCD of 831, 680, 852, 698 using LCM Formula

Given numbers are 831, 680, 852, 698

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

Apply this formula for all numbers.

Step1:

LCM(831, 680) = 565080

GCD(831, 680) = ( 831 x 680 ) / 565080

= 831 / 680

= 831


Step2:

LCM(1, 852) = 852

GCD(1, 852) = ( 1 x 852 ) / 852

= 1 / 852

= 1


Step3:

LCM(1, 698) = 698

GCD(1, 698) = ( 1 x 698 ) / 698

= 1 / 698

= 1


So, Greatest Common Divisor of 831, 680, 852, 698 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 831, 680, 852, 698

Given numbers are 831, 680, 852, 698
The greatest common divisor of numbers 831, 680, 852, 698 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 831, 680, 852, 698 is 1.

FAQs on GCD of 831, 680, 852, 698 Calculator

1. What is the GCD of 831, 680, 852, 698?

GCD of given numbers 831, 680, 852, 698 is 1


2. How to calculate the greatest common divisor of 831, 680, 852, 698?

We can find the highest common divisor of 831, 680, 852, 698 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 831, 680, 852, 698 i.e 1.


3. How can I use the GCD of 831, 680, 852, 698Calculator?

Out the numbers 831, 680, 852, 698 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.