GCD of 871, 654, 70, 987 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 871, 654, 70, 987 i.e. 1 largest integer that divides all the numbers equally.

GCD of 871, 654, 70, 987 is 1

GCD(871, 654, 70, 987) = 1

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

GCD of

GCD of numbers 871, 654, 70, 987 is 1

GCD(871, 654, 70, 987) = 1

GCD of 871,654,70,987 Calculator

GCDof 871,654,70,987 is 1

Given Input numbers are 871, 654, 70, 987

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

Divisors of 871

List of positive integer divisors of 871 that divides 871 without a remainder.

1, 13, 67, 871

Divisors of 654

List of positive integer divisors of 654 that divides 654 without a remainder.

1, 2, 3, 6, 109, 218, 327, 654

Divisors of 70

List of positive integer divisors of 70 that divides 70 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70

Divisors of 987

List of positive integer divisors of 987 that divides 987 without a remainder.

1, 3, 7, 21, 47, 141, 329, 987

Greatest Common Divisior

We found the divisors of 871, 654, 70, 987 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 871, 654, 70, 987 is 1.

Therefore, GCD of numbers 871, 654, 70, 987 is 1

Finding GCD of 871, 654, 70, 987 using Prime Factorization

Given Input Data is 871, 654, 70, 987

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

Prime Factorization of 871 is 13 x 67

Prime Factorization of 654 is 2 x 3 x 109

Prime Factorization of 70 is 2 x 5 x 7

Prime Factorization of 987 is 3 x 7 x 47

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

Finding GCD of 871, 654, 70, 987 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(871, 654) = 569634

GCD(871, 654) = ( 871 x 654 ) / 569634

GCD(871, 654) = 569634 / 569634

GCD(871, 654) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 70

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

LCM(1, 70) = 70

GCD(1, 70) = ( 1 x 70 ) / 70

GCD(1, 70) = 70 / 70

GCD(1, 70) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 987

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

LCM(1, 987) = 987

GCD(1, 987) = ( 1 x 987 ) / 987

GCD(1, 987) = 987 / 987

GCD(1, 987) = 1

GCD of 871, 654, 70, 987 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 871, 654, 70, 987

1. What is the GCD of 871, 654, 70, 987?

GCD of 871, 654, 70, 987 is 1


2. Where do I get the detailed procedure to find GCD of 871, 654, 70, 987?

You can find a detailed procedure to find GCD of 871, 654, 70, 987 on our page.


3. How to find GCD of 871, 654, 70, 987 on a calculator?

You can find the GCD of 871, 654, 70, 987 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.