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 814, 365, 971, 236 Calculator

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


Online GCD Calculator is useful to find the GCD of 814, 365, 971, 236 quickly. Get the easiest ways to solve the greatest common divisor of 814, 365, 971, 236 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 814, 365, 971, 236 with Factoring?

Given Input numbers are 814, 365, 971, 236

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

Divisors of 814 :

The positive integer divisors of 814 that completely divides 814 are.

1, 2, 11, 22, 37, 74, 407, 814

Divisors of 365 :

The positive integer divisors of 365 that completely divides 365 are.

1, 5, 73, 365

Divisors of 971 :

The positive integer divisors of 971 that completely divides 971 are.

1, 971

Divisors of 236 :

The positive integer divisors of 236 that completely divides 236 are.

1, 2, 4, 59, 118, 236


GCD of numbers is the greatest common divisor

So, the GCD (814, 365, 971, 236) = 1.

Find GCD of 814, 365, 971, 236 using Prime Factorization

Given numbers are 814, 365, 971, 236

The list of prime factors of all numbers are

Prime factors of 814 are 2 x 11 x 37

Prime factors of 365 are 5 x 73

Prime factors of 971 are 971

Prime factors of 236 are 2 x 2 x 59

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

Steps to Calculate GCD of 814, 365, 971, 236 using LCM Formula

Given numbers are 814, 365, 971, 236

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

Apply this formula for all numbers.

Step1:

LCM(814, 365) = 297110

GCD(814, 365) = ( 814 x 365 ) / 297110

= 814 / 365

= 814


Step2:

LCM(1, 971) = 971

GCD(1, 971) = ( 1 x 971 ) / 971

= 1 / 971

= 1


Step3:

LCM(1, 236) = 236

GCD(1, 236) = ( 1 x 236 ) / 236

= 1 / 236

= 1


So, Greatest Common Divisor of 814, 365, 971, 236 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 814, 365, 971, 236

Given numbers are 814, 365, 971, 236
The greatest common divisor of numbers 814, 365, 971, 236 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 814, 365, 971, 236 is 1.

FAQs on GCD of 814, 365, 971, 236 Calculator

1. What is the GCD of 814, 365, 971, 236?

GCD of given numbers 814, 365, 971, 236 is 1


2. How to calculate the greatest common divisor of 814, 365, 971, 236?

We can find the highest common divisor of 814, 365, 971, 236 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 814, 365, 971, 236 i.e 1.


3. How can I use the GCD of 814, 365, 971, 236Calculator?

Out the numbers 814, 365, 971, 236 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.