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 916, 509, 723, 670 Calculator

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


Online GCD Calculator is useful to find the GCD of 916, 509, 723, 670 quickly. Get the easiest ways to solve the greatest common divisor of 916, 509, 723, 670 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 916, 509, 723, 670 with Factoring?

Given Input numbers are 916, 509, 723, 670

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

Divisors of 916 :

The positive integer divisors of 916 that completely divides 916 are.

1, 2, 4, 229, 458, 916

Divisors of 509 :

The positive integer divisors of 509 that completely divides 509 are.

1, 509

Divisors of 723 :

The positive integer divisors of 723 that completely divides 723 are.

1, 3, 241, 723

Divisors of 670 :

The positive integer divisors of 670 that completely divides 670 are.

1, 2, 5, 10, 67, 134, 335, 670


GCD of numbers is the greatest common divisor

So, the GCD (916, 509, 723, 670) = 1.

Find GCD of 916, 509, 723, 670 using Prime Factorization

Given numbers are 916, 509, 723, 670

The list of prime factors of all numbers are

Prime factors of 916 are 2 x 2 x 229

Prime factors of 509 are 509

Prime factors of 723 are 3 x 241

Prime factors of 670 are 2 x 5 x 67

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

Steps to Calculate GCD of 916, 509, 723, 670 using LCM Formula

Given numbers are 916, 509, 723, 670

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

Apply this formula for all numbers.

Step1:

LCM(916, 509) = 466244

GCD(916, 509) = ( 916 x 509 ) / 466244

= 916 / 509

= 916


Step2:

LCM(1, 723) = 723

GCD(1, 723) = ( 1 x 723 ) / 723

= 1 / 723

= 1


Step3:

LCM(1, 670) = 670

GCD(1, 670) = ( 1 x 670 ) / 670

= 1 / 670

= 1


So, Greatest Common Divisor of 916, 509, 723, 670 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 916, 509, 723, 670

Given numbers are 916, 509, 723, 670
The greatest common divisor of numbers 916, 509, 723, 670 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 916, 509, 723, 670 is 1.

FAQs on GCD of 916, 509, 723, 670 Calculator

1. What is the GCD of 916, 509, 723, 670?

GCD of given numbers 916, 509, 723, 670 is 1


2. How to calculate the greatest common divisor of 916, 509, 723, 670?

We can find the highest common divisor of 916, 509, 723, 670 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 916, 509, 723, 670 i.e 1.


3. How can I use the GCD of 916, 509, 723, 670Calculator?

Out the numbers 916, 509, 723, 670 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.