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GCD of 812, 740, 140, 689 Calculator

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


Online GCD Calculator is useful to find the GCD of 812, 740, 140, 689 quickly. Get the easiest ways to solve the greatest common divisor of 812, 740, 140, 689 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 812, 740, 140, 689 with Factoring?

Given Input numbers are 812, 740, 140, 689

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

Divisors of 812 :

The positive integer divisors of 812 that completely divides 812 are.

1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812

Divisors of 740 :

The positive integer divisors of 740 that completely divides 740 are.

1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

Divisors of 140 :

The positive integer divisors of 140 that completely divides 140 are.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

Divisors of 689 :

The positive integer divisors of 689 that completely divides 689 are.

1, 13, 53, 689


GCD of numbers is the greatest common divisor

So, the GCD (812, 740, 140, 689) = 1.

Find GCD of 812, 740, 140, 689 using Prime Factorization

Given numbers are 812, 740, 140, 689

The list of prime factors of all numbers are

Prime factors of 812 are 2 x 2 x 7 x 29

Prime factors of 740 are 2 x 2 x 5 x 37

Prime factors of 140 are 2 x 2 x 5 x 7

Prime factors of 689 are 13 x 53

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

Steps to Calculate GCD of 812, 740, 140, 689 using LCM Formula

Given numbers are 812, 740, 140, 689

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

Apply this formula for all numbers.

Step1:

LCM(812, 740) = 150220

GCD(812, 740) = ( 812 x 740 ) / 150220

= 812 / 740

= 812


Step2:

LCM(4, 140) = 140

GCD(4, 140) = ( 4 x 140 ) / 140

= 4 / 140

= 4


Step3:

LCM(4, 689) = 2756

GCD(4, 689) = ( 4 x 689 ) / 2756

= 4 / 689

= 4


So, Greatest Common Divisor of 812, 740, 140, 689 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 812, 740, 140, 689

Given numbers are 812, 740, 140, 689
The greatest common divisor of numbers 812, 740, 140, 689 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 812, 740, 140, 689 is 1.

FAQs on GCD of 812, 740, 140, 689 Calculator

1. What is the GCD of 812, 740, 140, 689?

GCD of given numbers 812, 740, 140, 689 is 1


2. How to calculate the greatest common divisor of 812, 740, 140, 689?

We can find the highest common divisor of 812, 740, 140, 689 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 812, 740, 140, 689 i.e 1.


3. How can I use the GCD of 812, 740, 140, 689Calculator?

Out the numbers 812, 740, 140, 689 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.