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GCD of 829, 914, 220, 835 Calculator

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


Online GCD Calculator is useful to find the GCD of 829, 914, 220, 835 quickly. Get the easiest ways to solve the greatest common divisor of 829, 914, 220, 835 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 829, 914, 220, 835 with Factoring?

Given Input numbers are 829, 914, 220, 835

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

Divisors of 829 :

The positive integer divisors of 829 that completely divides 829 are.

1, 829

Divisors of 914 :

The positive integer divisors of 914 that completely divides 914 are.

1, 2, 457, 914

Divisors of 220 :

The positive integer divisors of 220 that completely divides 220 are.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

Divisors of 835 :

The positive integer divisors of 835 that completely divides 835 are.

1, 5, 167, 835


GCD of numbers is the greatest common divisor

So, the GCD (829, 914, 220, 835) = 1.

Find GCD of 829, 914, 220, 835 using Prime Factorization

Given numbers are 829, 914, 220, 835

The list of prime factors of all numbers are

Prime factors of 829 are 829

Prime factors of 914 are 2 x 457

Prime factors of 220 are 2 x 2 x 5 x 11

Prime factors of 835 are 5 x 167

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

Steps to Calculate GCD of 829, 914, 220, 835 using LCM Formula

Given numbers are 829, 914, 220, 835

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

Apply this formula for all numbers.

Step1:

LCM(829, 914) = 757706

GCD(829, 914) = ( 829 x 914 ) / 757706

= 829 / 914

= 829


Step2:

LCM(1, 220) = 220

GCD(1, 220) = ( 1 x 220 ) / 220

= 1 / 220

= 1


Step3:

LCM(1, 835) = 835

GCD(1, 835) = ( 1 x 835 ) / 835

= 1 / 835

= 1


So, Greatest Common Divisor of 829, 914, 220, 835 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 829, 914, 220, 835

Given numbers are 829, 914, 220, 835
The greatest common divisor of numbers 829, 914, 220, 835 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 829, 914, 220, 835 is 1.

FAQs on GCD of 829, 914, 220, 835 Calculator

1. What is the GCD of 829, 914, 220, 835?

GCD of given numbers 829, 914, 220, 835 is 1


2. How to calculate the greatest common divisor of 829, 914, 220, 835?

We can find the highest common divisor of 829, 914, 220, 835 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 829, 914, 220, 835 i.e 1.


3. How can I use the GCD of 829, 914, 220, 835Calculator?

Out the numbers 829, 914, 220, 835 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.