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GCD of 871, 984, 113, 400 Calculator

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


Online GCD Calculator is useful to find the GCD of 871, 984, 113, 400 quickly. Get the easiest ways to solve the greatest common divisor of 871, 984, 113, 400 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 871, 984, 113, 400 with Factoring?

Given Input numbers are 871, 984, 113, 400

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

Divisors of 871 :

The positive integer divisors of 871 that completely divides 871 are.

1, 13, 67, 871

Divisors of 984 :

The positive integer divisors of 984 that completely divides 984 are.

1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

Divisors of 113 :

The positive integer divisors of 113 that completely divides 113 are.

1, 113

Divisors of 400 :

The positive integer divisors of 400 that completely divides 400 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400


GCD of numbers is the greatest common divisor

So, the GCD (871, 984, 113, 400) = 1.

Find GCD of 871, 984, 113, 400 using Prime Factorization

Given numbers are 871, 984, 113, 400

The list of prime factors of all numbers are

Prime factors of 871 are 13 x 67

Prime factors of 984 are 2 x 2 x 2 x 3 x 41

Prime factors of 113 are 113

Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5

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

Steps to Calculate GCD of 871, 984, 113, 400 using LCM Formula

Given numbers are 871, 984, 113, 400

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

Apply this formula for all numbers.

Step1:

LCM(871, 984) = 857064

GCD(871, 984) = ( 871 x 984 ) / 857064

= 871 / 984

= 871


Step2:

LCM(1, 113) = 113

GCD(1, 113) = ( 1 x 113 ) / 113

= 1 / 113

= 1


Step3:

LCM(1, 400) = 400

GCD(1, 400) = ( 1 x 400 ) / 400

= 1 / 400

= 1


So, Greatest Common Divisor of 871, 984, 113, 400 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 871, 984, 113, 400

Given numbers are 871, 984, 113, 400
The greatest common divisor of numbers 871, 984, 113, 400 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 871, 984, 113, 400 is 1.

FAQs on GCD of 871, 984, 113, 400 Calculator

1. What is the GCD of 871, 984, 113, 400?

GCD of given numbers 871, 984, 113, 400 is 1


2. How to calculate the greatest common divisor of 871, 984, 113, 400?

We can find the highest common divisor of 871, 984, 113, 400 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 871, 984, 113, 400 i.e 1.


3. How can I use the GCD of 871, 984, 113, 400Calculator?

Out the numbers 871, 984, 113, 400 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.