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GCD of 871, 957, 338, 196 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, 957, 338, 196 quickly. Get the easiest ways to solve the greatest common divisor of 871, 957, 338, 196 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 871, 957, 338, 196 with Factoring?

Given Input numbers are 871, 957, 338, 196

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 957 :

The positive integer divisors of 957 that completely divides 957 are.

1, 3, 11, 29, 33, 87, 319, 957

Divisors of 338 :

The positive integer divisors of 338 that completely divides 338 are.

1, 2, 13, 26, 169, 338

Divisors of 196 :

The positive integer divisors of 196 that completely divides 196 are.

1, 2, 4, 7, 14, 28, 49, 98, 196


GCD of numbers is the greatest common divisor

So, the GCD (871, 957, 338, 196) = 1.

Find GCD of 871, 957, 338, 196 using Prime Factorization

Given numbers are 871, 957, 338, 196

The list of prime factors of all numbers are

Prime factors of 871 are 13 x 67

Prime factors of 957 are 3 x 11 x 29

Prime factors of 338 are 2 x 13 x 13

Prime factors of 196 are 2 x 2 x 7 x 7

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

Steps to Calculate GCD of 871, 957, 338, 196 using LCM Formula

Given numbers are 871, 957, 338, 196

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

Apply this formula for all numbers.

Step1:

LCM(871, 957) = 833547

GCD(871, 957) = ( 871 x 957 ) / 833547

= 871 / 957

= 871


Step2:

LCM(1, 338) = 338

GCD(1, 338) = ( 1 x 338 ) / 338

= 1 / 338

= 1


Step3:

LCM(1, 196) = 196

GCD(1, 196) = ( 1 x 196 ) / 196

= 1 / 196

= 1


So, Greatest Common Divisor of 871, 957, 338, 196 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 871, 957, 338, 196

Given numbers are 871, 957, 338, 196
The greatest common divisor of numbers 871, 957, 338, 196 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 871, 957, 338, 196 is 1.

FAQs on GCD of 871, 957, 338, 196 Calculator

1. What is the GCD of 871, 957, 338, 196?

GCD of given numbers 871, 957, 338, 196 is 1


2. How to calculate the greatest common divisor of 871, 957, 338, 196?

We can find the highest common divisor of 871, 957, 338, 196 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, 957, 338, 196 i.e 1.


3. How can I use the GCD of 871, 957, 338, 196Calculator?

Out the numbers 871, 957, 338, 196 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.