Where do I get the detailed procedure to find GCD of 140, 614, 700?

You can find a detailed procedure to find GCD of 140, 614, 700 on our page.

How to find GCD of 140, 614, 700 on a calculator?

You can find the GCD of 140, 614, 700 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 140, 614, 700 Calculator

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

Online GCD Calculator is useful to find the GCD of 140, 614, 700 quickly. Get the easiest ways to solve the greatest common divisor of 140, 614, 700 i.e 2 in different methods as follows.

How to Find GCD of Numbers 140, 614, 700 with Factoring?

Given Input numbers are 140, 614, 700

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

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 614 :

The positive integer divisors of 614 that completely divides 614 are.

1, 2, 307, 614

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

GCD of numbers is the greatest common divisor

So, the GCD (140, 614, 700) = 2.

Find GCD of 140, 614, 700 using Prime Factorization

Given numbers are 140, 614, 700

The list of prime factors of all numbers are

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

Prime factors of 614 are 2 x 307

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

The highest common occurrence is 2¹

Therefore, GCD of 140, 614, 700 is 2.

Steps to Calculate GCD of 140, 614, 700 using LCM Formula

Given numbers are 140, 614, 700

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

Apply this formula for all numbers.

Step1:

LCM(140, 614) = 42980

GCD(140, 614) = ( 140 x 614 ) / 42980

= 140 / 614

= 140

Step2:

LCM(2, 700) = 700

GCD(2, 700) = ( 2 x 700 ) / 700

= 2 / 700

= 2

So, Greatest Common Divisor of 140, 614, 700 is 2

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 140, 614, 700

Given numbers are 140, 614, 700
The greatest common divisor of numbers 140, 614, 700 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 140, 614, 700 is 2.

FAQs on GCD of 140, 614, 700 Calculator

1. What is the GCD of 140, 614, 700?

GCD of given numbers 140, 614, 700 is 2

2. How to calculate the greatest common divisor of 140, 614, 700?

We can find the highest common divisor of 140, 614, 700 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 140, 614, 700 i.e 2.

3. How can I use the GCD of 140, 614, 700Calculator?

Out the numbers 140, 614, 700 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.