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GCD of 429, 982, 217, 802 Calculator

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


Online GCD Calculator is useful to find the GCD of 429, 982, 217, 802 quickly. Get the easiest ways to solve the greatest common divisor of 429, 982, 217, 802 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 429, 982, 217, 802 with Factoring?

Given Input numbers are 429, 982, 217, 802

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

Divisors of 429 :

The positive integer divisors of 429 that completely divides 429 are.

1, 3, 11, 13, 33, 39, 143, 429

Divisors of 982 :

The positive integer divisors of 982 that completely divides 982 are.

1, 2, 491, 982

Divisors of 217 :

The positive integer divisors of 217 that completely divides 217 are.

1, 7, 31, 217

Divisors of 802 :

The positive integer divisors of 802 that completely divides 802 are.

1, 2, 401, 802


GCD of numbers is the greatest common divisor

So, the GCD (429, 982, 217, 802) = 1.

Find GCD of 429, 982, 217, 802 using Prime Factorization

Given numbers are 429, 982, 217, 802

The list of prime factors of all numbers are

Prime factors of 429 are 3 x 11 x 13

Prime factors of 982 are 2 x 491

Prime factors of 217 are 7 x 31

Prime factors of 802 are 2 x 401

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

Steps to Calculate GCD of 429, 982, 217, 802 using LCM Formula

Given numbers are 429, 982, 217, 802

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

Apply this formula for all numbers.

Step1:

LCM(429, 982) = 421278

GCD(429, 982) = ( 429 x 982 ) / 421278

= 429 / 982

= 429


Step2:

LCM(1, 217) = 217

GCD(1, 217) = ( 1 x 217 ) / 217

= 1 / 217

= 1


Step3:

LCM(1, 802) = 802

GCD(1, 802) = ( 1 x 802 ) / 802

= 1 / 802

= 1


So, Greatest Common Divisor of 429, 982, 217, 802 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 429, 982, 217, 802

Given numbers are 429, 982, 217, 802
The greatest common divisor of numbers 429, 982, 217, 802 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 429, 982, 217, 802 is 1.

FAQs on GCD of 429, 982, 217, 802 Calculator

1. What is the GCD of 429, 982, 217, 802?

GCD of given numbers 429, 982, 217, 802 is 1


2. How to calculate the greatest common divisor of 429, 982, 217, 802?

We can find the highest common divisor of 429, 982, 217, 802 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 429, 982, 217, 802 i.e 1.


3. How can I use the GCD of 429, 982, 217, 802Calculator?

Out the numbers 429, 982, 217, 802 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.