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GCD of 148, 686, 849 Calculator

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


Online GCD Calculator is useful to find the GCD of 148, 686, 849 quickly. Get the easiest ways to solve the greatest common divisor of 148, 686, 849 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 148, 686, 849 with Factoring?

Given Input numbers are 148, 686, 849

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

Divisors of 148 :

The positive integer divisors of 148 that completely divides 148 are.

1, 2, 4, 37, 74, 148

Divisors of 686 :

The positive integer divisors of 686 that completely divides 686 are.

1, 2, 7, 14, 49, 98, 343, 686

Divisors of 849 :

The positive integer divisors of 849 that completely divides 849 are.

1, 3, 283, 849


GCD of numbers is the greatest common divisor

So, the GCD (148, 686, 849) = 1.

Find GCD of 148, 686, 849 using Prime Factorization

Given numbers are 148, 686, 849

The list of prime factors of all numbers are

Prime factors of 148 are 2 x 2 x 37

Prime factors of 686 are 2 x 7 x 7 x 7

Prime factors of 849 are 3 x 283

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

Steps to Calculate GCD of 148, 686, 849 using LCM Formula

Given numbers are 148, 686, 849

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

Apply this formula for all numbers.

Step1:

LCM(148, 686) = 50764

GCD(148, 686) = ( 148 x 686 ) / 50764

= 148 / 686

= 148


Step2:

LCM(2, 849) = 1698

GCD(2, 849) = ( 2 x 849 ) / 1698

= 2 / 849

= 2


So, Greatest Common Divisor of 148, 686, 849 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 148, 686, 849

Given numbers are 148, 686, 849
The greatest common divisor of numbers 148, 686, 849 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 148, 686, 849 is 1.

FAQs on GCD of 148, 686, 849 Calculator

1. What is the GCD of 148, 686, 849?

GCD of given numbers 148, 686, 849 is 1


2. How to calculate the greatest common divisor of 148, 686, 849?

We can find the highest common divisor of 148, 686, 849 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 148, 686, 849 i.e 1.


3. How can I use the GCD of 148, 686, 849Calculator?

Out the numbers 148, 686, 849 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.