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GCD of 800, 620, 869, 112 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, 620, 869, 112 quickly. Get the easiest ways to solve the greatest common divisor of 800, 620, 869, 112 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 800, 620, 869, 112 with Factoring?

Given Input numbers are 800, 620, 869, 112

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 620 :

The positive integer divisors of 620 that completely divides 620 are.

1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620

Divisors of 869 :

The positive integer divisors of 869 that completely divides 869 are.

1, 11, 79, 869

Divisors of 112 :

The positive integer divisors of 112 that completely divides 112 are.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112


GCD of numbers is the greatest common divisor

So, the GCD (800, 620, 869, 112) = 1.

Find GCD of 800, 620, 869, 112 using Prime Factorization

Given numbers are 800, 620, 869, 112

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 620 are 2 x 2 x 5 x 31

Prime factors of 869 are 11 x 79

Prime factors of 112 are 2 x 2 x 2 x 2 x 7

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

Steps to Calculate GCD of 800, 620, 869, 112 using LCM Formula

Given numbers are 800, 620, 869, 112

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

Apply this formula for all numbers.

Step1:

LCM(800, 620) = 24800

GCD(800, 620) = ( 800 x 620 ) / 24800

= 800 / 620

= 800


Step2:

LCM(20, 869) = 17380

GCD(20, 869) = ( 20 x 869 ) / 17380

= 20 / 869

= 20


Step3:

LCM(1, 112) = 112

GCD(1, 112) = ( 1 x 112 ) / 112

= 1 / 112

= 1


So, Greatest Common Divisor of 800, 620, 869, 112 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 800, 620, 869, 112

Given numbers are 800, 620, 869, 112
The greatest common divisor of numbers 800, 620, 869, 112 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 800, 620, 869, 112 is 1.

FAQs on GCD of 800, 620, 869, 112 Calculator

1. What is the GCD of 800, 620, 869, 112?

GCD of given numbers 800, 620, 869, 112 is 1


2. How to calculate the greatest common divisor of 800, 620, 869, 112?

We can find the highest common divisor of 800, 620, 869, 112 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, 620, 869, 112 i.e 1.


3. How can I use the GCD of 800, 620, 869, 112Calculator?

Out the numbers 800, 620, 869, 112 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.