Where do I get the detailed procedure to find GCD of 700, 693, 385?

You can find a detailed procedure to find GCD of 700, 693, 385 on our page.

How to find GCD of 700, 693, 385 on a calculator?

You can find the GCD of 700, 693, 385 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 700, 693, 385 Calculator

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

Online GCD Calculator is useful to find the GCD of 700, 693, 385 quickly. Get the easiest ways to solve the greatest common divisor of 700, 693, 385 i.e 7 in different methods as follows.

How to Find GCD of Numbers 700, 693, 385 with Factoring?

Given Input numbers are 700, 693, 385

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

Divisors of 700 :

The positive integer divisors of 700 that completely divides 700 are.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

Divisors of 693 :

The positive integer divisors of 693 that completely divides 693 are.

1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693

Divisors of 385 :

The positive integer divisors of 385 that completely divides 385 are.

1, 5, 7, 11, 35, 55, 77, 385

GCD of numbers is the greatest common divisor

So, the GCD (700, 693, 385) = 7.

Find GCD of 700, 693, 385 using Prime Factorization

Given numbers are 700, 693, 385

The list of prime factors of all numbers are

Prime factors of 700 are 2 x 2 x 5 x 5 x 7

Prime factors of 693 are 3 x 3 x 7 x 11

Prime factors of 385 are 5 x 7 x 11

The highest common occurrence is 7¹

Therefore, GCD of 700, 693, 385 is 7.

Steps to Calculate GCD of 700, 693, 385 using LCM Formula

Given numbers are 700, 693, 385

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

Apply this formula for all numbers.

Step1:

LCM(700, 693) = 69300

GCD(700, 693) = ( 700 x 693 ) / 69300

= 700 / 693

= 700

Step2:

LCM(7, 385) = 385

GCD(7, 385) = ( 7 x 385 ) / 385

= 7 / 385

= 7

So, Greatest Common Divisor of 700, 693, 385 is 7

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 700, 693, 385

Given numbers are 700, 693, 385
The greatest common divisor of numbers 700, 693, 385 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 700, 693, 385 is 7.

FAQs on GCD of 700, 693, 385 Calculator

1. What is the GCD of 700, 693, 385?

GCD of given numbers 700, 693, 385 is 7

2. How to calculate the greatest common divisor of 700, 693, 385?

We can find the highest common divisor of 700, 693, 385 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 700, 693, 385 i.e 7.

3. How can I use the GCD of 700, 693, 385Calculator?

Out the numbers 700, 693, 385 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.