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GCD of 800, 692, 792, 139 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, 692, 792, 139 quickly. Get the easiest ways to solve the greatest common divisor of 800, 692, 792, 139 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 800, 692, 792, 139 with Factoring?

Given Input numbers are 800, 692, 792, 139

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 692 :

The positive integer divisors of 692 that completely divides 692 are.

1, 2, 4, 173, 346, 692

Divisors of 792 :

The positive integer divisors of 792 that completely divides 792 are.

1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

Divisors of 139 :

The positive integer divisors of 139 that completely divides 139 are.

1, 139


GCD of numbers is the greatest common divisor

So, the GCD (800, 692, 792, 139) = 1.

Find GCD of 800, 692, 792, 139 using Prime Factorization

Given numbers are 800, 692, 792, 139

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 692 are 2 x 2 x 173

Prime factors of 792 are 2 x 2 x 2 x 3 x 3 x 11

Prime factors of 139 are 139

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

Steps to Calculate GCD of 800, 692, 792, 139 using LCM Formula

Given numbers are 800, 692, 792, 139

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

Apply this formula for all numbers.

Step1:

LCM(800, 692) = 138400

GCD(800, 692) = ( 800 x 692 ) / 138400

= 800 / 692

= 800


Step2:

LCM(4, 792) = 792

GCD(4, 792) = ( 4 x 792 ) / 792

= 4 / 792

= 4


Step3:

LCM(4, 139) = 556

GCD(4, 139) = ( 4 x 139 ) / 556

= 4 / 139

= 4


So, Greatest Common Divisor of 800, 692, 792, 139 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 800, 692, 792, 139

Given numbers are 800, 692, 792, 139
The greatest common divisor of numbers 800, 692, 792, 139 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 800, 692, 792, 139 is 1.

FAQs on GCD of 800, 692, 792, 139 Calculator

1. What is the GCD of 800, 692, 792, 139?

GCD of given numbers 800, 692, 792, 139 is 1


2. How to calculate the greatest common divisor of 800, 692, 792, 139?

We can find the highest common divisor of 800, 692, 792, 139 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, 692, 792, 139 i.e 1.


3. How can I use the GCD of 800, 692, 792, 139Calculator?

Out the numbers 800, 692, 792, 139 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.