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GCD of 654, 165, 416, 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 654, 165, 416, 802 quickly. Get the easiest ways to solve the greatest common divisor of 654, 165, 416, 802 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 654, 165, 416, 802 with Factoring?

Given Input numbers are 654, 165, 416, 802

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

Divisors of 654 :

The positive integer divisors of 654 that completely divides 654 are.

1, 2, 3, 6, 109, 218, 327, 654

Divisors of 165 :

The positive integer divisors of 165 that completely divides 165 are.

1, 3, 5, 11, 15, 33, 55, 165

Divisors of 416 :

The positive integer divisors of 416 that completely divides 416 are.

1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

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 (654, 165, 416, 802) = 1.

Find GCD of 654, 165, 416, 802 using Prime Factorization

Given numbers are 654, 165, 416, 802

The list of prime factors of all numbers are

Prime factors of 654 are 2 x 3 x 109

Prime factors of 165 are 3 x 5 x 11

Prime factors of 416 are 2 x 2 x 2 x 2 x 2 x 13

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 654, 165, 416, 802 using LCM Formula

Given numbers are 654, 165, 416, 802

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

Apply this formula for all numbers.

Step1:

LCM(654, 165) = 35970

GCD(654, 165) = ( 654 x 165 ) / 35970

= 654 / 165

= 654


Step2:

LCM(3, 416) = 1248

GCD(3, 416) = ( 3 x 416 ) / 1248

= 3 / 416

= 3


Step3:

LCM(1, 802) = 802

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

= 1 / 802

= 1


So, Greatest Common Divisor of 654, 165, 416, 802 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 654, 165, 416, 802

Given numbers are 654, 165, 416, 802
The greatest common divisor of numbers 654, 165, 416, 802 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 654, 165, 416, 802 is 1.

FAQs on GCD of 654, 165, 416, 802 Calculator

1. What is the GCD of 654, 165, 416, 802?

GCD of given numbers 654, 165, 416, 802 is 1


2. How to calculate the greatest common divisor of 654, 165, 416, 802?

We can find the highest common divisor of 654, 165, 416, 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 654, 165, 416, 802 i.e 1.


3. How can I use the GCD of 654, 165, 416, 802Calculator?

Out the numbers 654, 165, 416, 802 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.