LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCD of 861, 431, 977, 349 Calculator

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


Online GCD Calculator is useful to find the GCD of 861, 431, 977, 349 quickly. Get the easiest ways to solve the greatest common divisor of 861, 431, 977, 349 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 861, 431, 977, 349 with Factoring?

Given Input numbers are 861, 431, 977, 349

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

Divisors of 861 :

The positive integer divisors of 861 that completely divides 861 are.

1, 3, 7, 21, 41, 123, 287, 861

Divisors of 431 :

The positive integer divisors of 431 that completely divides 431 are.

1, 431

Divisors of 977 :

The positive integer divisors of 977 that completely divides 977 are.

1, 977

Divisors of 349 :

The positive integer divisors of 349 that completely divides 349 are.

1, 349


GCD of numbers is the greatest common divisor

So, the GCD (861, 431, 977, 349) = 1.

Find GCD of 861, 431, 977, 349 using Prime Factorization

Given numbers are 861, 431, 977, 349

The list of prime factors of all numbers are

Prime factors of 861 are 3 x 7 x 41

Prime factors of 431 are 431

Prime factors of 977 are 977

Prime factors of 349 are 349

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

Steps to Calculate GCD of 861, 431, 977, 349 using LCM Formula

Given numbers are 861, 431, 977, 349

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

Apply this formula for all numbers.

Step1:

LCM(861, 431) = 371091

GCD(861, 431) = ( 861 x 431 ) / 371091

= 861 / 431

= 861


Step2:

LCM(1, 977) = 977

GCD(1, 977) = ( 1 x 977 ) / 977

= 1 / 977

= 1


Step3:

LCM(1, 349) = 349

GCD(1, 349) = ( 1 x 349 ) / 349

= 1 / 349

= 1


So, Greatest Common Divisor of 861, 431, 977, 349 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 861, 431, 977, 349

Given numbers are 861, 431, 977, 349
The greatest common divisor of numbers 861, 431, 977, 349 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 861, 431, 977, 349 is 1.

FAQs on GCD of 861, 431, 977, 349 Calculator

1. What is the GCD of 861, 431, 977, 349?

GCD of given numbers 861, 431, 977, 349 is 1


2. How to calculate the greatest common divisor of 861, 431, 977, 349?

We can find the highest common divisor of 861, 431, 977, 349 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 861, 431, 977, 349 i.e 1.


3. How can I use the GCD of 861, 431, 977, 349Calculator?

Out the numbers 861, 431, 977, 349 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.