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GCD of 871, 150, 925, 838 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, 150, 925, 838 quickly. Get the easiest ways to solve the greatest common divisor of 871, 150, 925, 838 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 871, 150, 925, 838 with Factoring?

Given Input numbers are 871, 150, 925, 838

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 150 :

The positive integer divisors of 150 that completely divides 150 are.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

Divisors of 925 :

The positive integer divisors of 925 that completely divides 925 are.

1, 5, 25, 37, 185, 925

Divisors of 838 :

The positive integer divisors of 838 that completely divides 838 are.

1, 2, 419, 838


GCD of numbers is the greatest common divisor

So, the GCD (871, 150, 925, 838) = 1.

Find GCD of 871, 150, 925, 838 using Prime Factorization

Given numbers are 871, 150, 925, 838

The list of prime factors of all numbers are

Prime factors of 871 are 13 x 67

Prime factors of 150 are 2 x 3 x 5 x 5

Prime factors of 925 are 5 x 5 x 37

Prime factors of 838 are 2 x 419

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

Steps to Calculate GCD of 871, 150, 925, 838 using LCM Formula

Given numbers are 871, 150, 925, 838

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

Apply this formula for all numbers.

Step1:

LCM(871, 150) = 130650

GCD(871, 150) = ( 871 x 150 ) / 130650

= 871 / 150

= 871


Step2:

LCM(1, 925) = 925

GCD(1, 925) = ( 1 x 925 ) / 925

= 1 / 925

= 1


Step3:

LCM(1, 838) = 838

GCD(1, 838) = ( 1 x 838 ) / 838

= 1 / 838

= 1


So, Greatest Common Divisor of 871, 150, 925, 838 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 871, 150, 925, 838

Given numbers are 871, 150, 925, 838
The greatest common divisor of numbers 871, 150, 925, 838 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 871, 150, 925, 838 is 1.

FAQs on GCD of 871, 150, 925, 838 Calculator

1. What is the GCD of 871, 150, 925, 838?

GCD of given numbers 871, 150, 925, 838 is 1


2. How to calculate the greatest common divisor of 871, 150, 925, 838?

We can find the highest common divisor of 871, 150, 925, 838 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, 150, 925, 838 i.e 1.


3. How can I use the GCD of 871, 150, 925, 838Calculator?

Out the numbers 871, 150, 925, 838 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.