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GCD of 800, 120, 269, 929 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, 120, 269, 929 quickly. Get the easiest ways to solve the greatest common divisor of 800, 120, 269, 929 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 800, 120, 269, 929 with Factoring?

Given Input numbers are 800, 120, 269, 929

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 120 :

The positive integer divisors of 120 that completely divides 120 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Divisors of 269 :

The positive integer divisors of 269 that completely divides 269 are.

1, 269

Divisors of 929 :

The positive integer divisors of 929 that completely divides 929 are.

1, 929


GCD of numbers is the greatest common divisor

So, the GCD (800, 120, 269, 929) = 1.

Find GCD of 800, 120, 269, 929 using Prime Factorization

Given numbers are 800, 120, 269, 929

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 120 are 2 x 2 x 2 x 3 x 5

Prime factors of 269 are 269

Prime factors of 929 are 929

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

Steps to Calculate GCD of 800, 120, 269, 929 using LCM Formula

Given numbers are 800, 120, 269, 929

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

Apply this formula for all numbers.

Step1:

LCM(800, 120) = 2400

GCD(800, 120) = ( 800 x 120 ) / 2400

= 800 / 120

= 800


Step2:

LCM(40, 269) = 10760

GCD(40, 269) = ( 40 x 269 ) / 10760

= 40 / 269

= 40


Step3:

LCM(1, 929) = 929

GCD(1, 929) = ( 1 x 929 ) / 929

= 1 / 929

= 1


So, Greatest Common Divisor of 800, 120, 269, 929 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 800, 120, 269, 929

Given numbers are 800, 120, 269, 929
The greatest common divisor of numbers 800, 120, 269, 929 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 800, 120, 269, 929 is 1.

FAQs on GCD of 800, 120, 269, 929 Calculator

1. What is the GCD of 800, 120, 269, 929?

GCD of given numbers 800, 120, 269, 929 is 1


2. How to calculate the greatest common divisor of 800, 120, 269, 929?

We can find the highest common divisor of 800, 120, 269, 929 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, 120, 269, 929 i.e 1.


3. How can I use the GCD of 800, 120, 269, 929Calculator?

Out the numbers 800, 120, 269, 929 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.