Where do I get the detailed procedure to find GCD of 148, 686, 802?

You can find a detailed procedure to find GCD of 148, 686, 802 on our page.

How to find GCD of 148, 686, 802 on a calculator?

You can find the GCD of 148, 686, 802 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.

GCD of 148, 686, 802 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, 802 quickly. Get the easiest ways to solve the greatest common divisor of 148, 686, 802 i.e 2 in different methods as follows.

How to Find GCD of Numbers 148, 686, 802 with Factoring?

Given Input numbers are 148, 686, 802

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 802 :

The positive integer divisors of 802 that completely divides 802 are.

1, 2, 401, 802

GCD of numbers is the greatest common divisor

So, the GCD (148, 686, 802) = 2.

Find GCD of 148, 686, 802 using Prime Factorization

Given numbers are 148, 686, 802

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 802 are 2 x 401

The highest common occurrence is 2¹

Therefore, GCD of 148, 686, 802 is 2.

Steps to Calculate GCD of 148, 686, 802 using LCM Formula

Given numbers are 148, 686, 802

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, 802) = 802

GCD(2, 802) = ( 2 x 802 ) / 802

= 2 / 802

= 2

So, Greatest Common Divisor of 148, 686, 802 is 2

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 148, 686, 802

Given numbers are 148, 686, 802
The greatest common divisor of numbers 148, 686, 802 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 148, 686, 802 is 2.

FAQs on GCD of 148, 686, 802 Calculator

1. What is the GCD of 148, 686, 802?

GCD of given numbers 148, 686, 802 is 2

2. How to calculate the greatest common divisor of 148, 686, 802?

We can find the highest common divisor of 148, 686, 802 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, 802 i.e 2.

3. How can I use the GCD of 148, 686, 802Calculator?

Out the numbers 148, 686, 802 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.