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GCD of 800, 652, 169, 674 Calculator

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


Online GCD Calculator is useful to find the GCD of 800, 652, 169, 674 quickly. Get the easiest ways to solve the greatest common divisor of 800, 652, 169, 674 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 800, 652, 169, 674 with Factoring?

Given Input numbers are 800, 652, 169, 674

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

Divisors of 800 :

The positive integer divisors of 800 that completely divides 800 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

Divisors of 652 :

The positive integer divisors of 652 that completely divides 652 are.

1, 2, 4, 163, 326, 652

Divisors of 169 :

The positive integer divisors of 169 that completely divides 169 are.

1, 13, 169

Divisors of 674 :

The positive integer divisors of 674 that completely divides 674 are.

1, 2, 337, 674


GCD of numbers is the greatest common divisor

So, the GCD (800, 652, 169, 674) = 1.

Find GCD of 800, 652, 169, 674 using Prime Factorization

Given numbers are 800, 652, 169, 674

The list of prime factors of all numbers are

Prime factors of 800 are 2 x 2 x 2 x 2 x 2 x 5 x 5

Prime factors of 652 are 2 x 2 x 163

Prime factors of 169 are 13 x 13

Prime factors of 674 are 2 x 337

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

Steps to Calculate GCD of 800, 652, 169, 674 using LCM Formula

Given numbers are 800, 652, 169, 674

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

Apply this formula for all numbers.

Step1:

LCM(800, 652) = 130400

GCD(800, 652) = ( 800 x 652 ) / 130400

= 800 / 652

= 800


Step2:

LCM(4, 169) = 676

GCD(4, 169) = ( 4 x 169 ) / 676

= 4 / 169

= 4


Step3:

LCM(1, 674) = 674

GCD(1, 674) = ( 1 x 674 ) / 674

= 1 / 674

= 1


So, Greatest Common Divisor of 800, 652, 169, 674 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 800, 652, 169, 674

Given numbers are 800, 652, 169, 674
The greatest common divisor of numbers 800, 652, 169, 674 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 800, 652, 169, 674 is 1.

FAQs on GCD of 800, 652, 169, 674 Calculator

1. What is the GCD of 800, 652, 169, 674?

GCD of given numbers 800, 652, 169, 674 is 1


2. How to calculate the greatest common divisor of 800, 652, 169, 674?

We can find the highest common divisor of 800, 652, 169, 674 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 800, 652, 169, 674 i.e 1.


3. How can I use the GCD of 800, 652, 169, 674Calculator?

Out the numbers 800, 652, 169, 674 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.