GCD of 977, 700, 14, 440 Calculator

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Make use of GCD Calculator to determine the Greatest Common Divisor of 977, 700, 14, 440 i.e. 1 largest integer that divides all the numbers equally.

GCD of 977, 700, 14, 440 is 1

GCD(977, 700, 14, 440) = 1

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 977, 700, 14, 440 is 1

GCD(977, 700, 14, 440) = 1

GCD of 977,700,14,440 Calculator

GCDof 977,700,14,440 is 1

Given Input numbers are 977, 700, 14, 440

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 977

List of positive integer divisors of 977 that divides 977 without a remainder.

1, 977

Divisors of 700

List of positive integer divisors of 700 that divides 700 without a remainder.

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

Divisors of 14

List of positive integer divisors of 14 that divides 14 without a remainder.

1, 2, 7, 14

Divisors of 440

List of positive integer divisors of 440 that divides 440 without a remainder.

1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

Greatest Common Divisior

We found the divisors of 977, 700, 14, 440 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 977, 700, 14, 440 is 1.

Therefore, GCD of numbers 977, 700, 14, 440 is 1

Finding GCD of 977, 700, 14, 440 using Prime Factorization

Given Input Data is 977, 700, 14, 440

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 977 is 977

Prime Factorization of 700 is 2 x 2 x 5 x 5 x 7

Prime Factorization of 14 is 2 x 7

Prime Factorization of 440 is 2 x 2 x 2 x 5 x 11

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

Finding GCD of 977, 700, 14, 440 using LCM Formula

Step1:

Let's calculate the GCD of first two numbers

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

LCM(977, 700) = 683900

GCD(977, 700) = ( 977 x 700 ) / 683900

GCD(977, 700) = 683900 / 683900

GCD(977, 700) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 14

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

LCM(1, 14) = 14

GCD(1, 14) = ( 1 x 14 ) / 14

GCD(1, 14) = 14 / 14

GCD(1, 14) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 440

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

LCM(1, 440) = 440

GCD(1, 440) = ( 1 x 440 ) / 440

GCD(1, 440) = 440 / 440

GCD(1, 440) = 1

GCD of 977, 700, 14, 440 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 977, 700, 14, 440

1. What is the GCD of 977, 700, 14, 440?

GCD of 977, 700, 14, 440 is 1


2. Where do I get the detailed procedure to find GCD of 977, 700, 14, 440?

You can find a detailed procedure to find GCD of 977, 700, 14, 440 on our page.


3. How to find GCD of 977, 700, 14, 440 on a calculator?

You can find the GCD of 977, 700, 14, 440 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.