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GCD of 991, 949, 791, 201 Calculator

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


Online GCD Calculator is useful to find the GCD of 991, 949, 791, 201 quickly. Get the easiest ways to solve the greatest common divisor of 991, 949, 791, 201 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 991, 949, 791, 201 with Factoring?

Given Input numbers are 991, 949, 791, 201

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

Divisors of 991 :

The positive integer divisors of 991 that completely divides 991 are.

1, 991

Divisors of 949 :

The positive integer divisors of 949 that completely divides 949 are.

1, 13, 73, 949

Divisors of 791 :

The positive integer divisors of 791 that completely divides 791 are.

1, 7, 113, 791

Divisors of 201 :

The positive integer divisors of 201 that completely divides 201 are.

1, 3, 67, 201


GCD of numbers is the greatest common divisor

So, the GCD (991, 949, 791, 201) = 1.

Find GCD of 991, 949, 791, 201 using Prime Factorization

Given numbers are 991, 949, 791, 201

The list of prime factors of all numbers are

Prime factors of 991 are 991

Prime factors of 949 are 13 x 73

Prime factors of 791 are 7 x 113

Prime factors of 201 are 3 x 67

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

Steps to Calculate GCD of 991, 949, 791, 201 using LCM Formula

Given numbers are 991, 949, 791, 201

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

Apply this formula for all numbers.

Step1:

LCM(991, 949) = 940459

GCD(991, 949) = ( 991 x 949 ) / 940459

= 991 / 949

= 991


Step2:

LCM(1, 791) = 791

GCD(1, 791) = ( 1 x 791 ) / 791

= 1 / 791

= 1


Step3:

LCM(1, 201) = 201

GCD(1, 201) = ( 1 x 201 ) / 201

= 1 / 201

= 1


So, Greatest Common Divisor of 991, 949, 791, 201 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 991, 949, 791, 201

Given numbers are 991, 949, 791, 201
The greatest common divisor of numbers 991, 949, 791, 201 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 991, 949, 791, 201 is 1.

FAQs on GCD of 991, 949, 791, 201 Calculator

1. What is the GCD of 991, 949, 791, 201?

GCD of given numbers 991, 949, 791, 201 is 1


2. How to calculate the greatest common divisor of 991, 949, 791, 201?

We can find the highest common divisor of 991, 949, 791, 201 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 991, 949, 791, 201 i.e 1.


3. How can I use the GCD of 991, 949, 791, 201Calculator?

Out the numbers 991, 949, 791, 201 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.