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 946, 713, 749, 872 Calculator

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


Online GCD Calculator is useful to find the GCD of 946, 713, 749, 872 quickly. Get the easiest ways to solve the greatest common divisor of 946, 713, 749, 872 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 946, 713, 749, 872 with Factoring?

Given Input numbers are 946, 713, 749, 872

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

Divisors of 946 :

The positive integer divisors of 946 that completely divides 946 are.

1, 2, 11, 22, 43, 86, 473, 946

Divisors of 713 :

The positive integer divisors of 713 that completely divides 713 are.

1, 23, 31, 713

Divisors of 749 :

The positive integer divisors of 749 that completely divides 749 are.

1, 7, 107, 749

Divisors of 872 :

The positive integer divisors of 872 that completely divides 872 are.

1, 2, 4, 8, 109, 218, 436, 872


GCD of numbers is the greatest common divisor

So, the GCD (946, 713, 749, 872) = 1.

Find GCD of 946, 713, 749, 872 using Prime Factorization

Given numbers are 946, 713, 749, 872

The list of prime factors of all numbers are

Prime factors of 946 are 2 x 11 x 43

Prime factors of 713 are 23 x 31

Prime factors of 749 are 7 x 107

Prime factors of 872 are 2 x 2 x 2 x 109

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

Steps to Calculate GCD of 946, 713, 749, 872 using LCM Formula

Given numbers are 946, 713, 749, 872

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

Apply this formula for all numbers.

Step1:

LCM(946, 713) = 674498

GCD(946, 713) = ( 946 x 713 ) / 674498

= 946 / 713

= 946


Step2:

LCM(1, 749) = 749

GCD(1, 749) = ( 1 x 749 ) / 749

= 1 / 749

= 1


Step3:

LCM(1, 872) = 872

GCD(1, 872) = ( 1 x 872 ) / 872

= 1 / 872

= 1


So, Greatest Common Divisor of 946, 713, 749, 872 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 946, 713, 749, 872

Given numbers are 946, 713, 749, 872
The greatest common divisor of numbers 946, 713, 749, 872 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 946, 713, 749, 872 is 1.

FAQs on GCD of 946, 713, 749, 872 Calculator

1. What is the GCD of 946, 713, 749, 872?

GCD of given numbers 946, 713, 749, 872 is 1


2. How to calculate the greatest common divisor of 946, 713, 749, 872?

We can find the highest common divisor of 946, 713, 749, 872 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 946, 713, 749, 872 i.e 1.


3. How can I use the GCD of 946, 713, 749, 872Calculator?

Out the numbers 946, 713, 749, 872 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.