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GCD of 871, 393, 77, 748 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, 393, 77, 748 quickly. Get the easiest ways to solve the greatest common divisor of 871, 393, 77, 748 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 871, 393, 77, 748 with Factoring?

Given Input numbers are 871, 393, 77, 748

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 393 :

The positive integer divisors of 393 that completely divides 393 are.

1, 3, 131, 393

Divisors of 77 :

The positive integer divisors of 77 that completely divides 77 are.

1, 7, 11, 77

Divisors of 748 :

The positive integer divisors of 748 that completely divides 748 are.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748


GCD of numbers is the greatest common divisor

So, the GCD (871, 393, 77, 748) = 1.

Find GCD of 871, 393, 77, 748 using Prime Factorization

Given numbers are 871, 393, 77, 748

The list of prime factors of all numbers are

Prime factors of 871 are 13 x 67

Prime factors of 393 are 3 x 131

Prime factors of 77 are 7 x 11

Prime factors of 748 are 2 x 2 x 11 x 17

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

Steps to Calculate GCD of 871, 393, 77, 748 using LCM Formula

Given numbers are 871, 393, 77, 748

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

Apply this formula for all numbers.

Step1:

LCM(871, 393) = 342303

GCD(871, 393) = ( 871 x 393 ) / 342303

= 871 / 393

= 871


Step2:

LCM(1, 77) = 77

GCD(1, 77) = ( 1 x 77 ) / 77

= 1 / 77

= 1


Step3:

LCM(1, 748) = 748

GCD(1, 748) = ( 1 x 748 ) / 748

= 1 / 748

= 1


So, Greatest Common Divisor of 871, 393, 77, 748 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 871, 393, 77, 748

Given numbers are 871, 393, 77, 748
The greatest common divisor of numbers 871, 393, 77, 748 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 871, 393, 77, 748 is 1.

FAQs on GCD of 871, 393, 77, 748 Calculator

1. What is the GCD of 871, 393, 77, 748?

GCD of given numbers 871, 393, 77, 748 is 1


2. How to calculate the greatest common divisor of 871, 393, 77, 748?

We can find the highest common divisor of 871, 393, 77, 748 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, 393, 77, 748 i.e 1.


3. How can I use the GCD of 871, 393, 77, 748Calculator?

Out the numbers 871, 393, 77, 748 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.