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 428, 969, 519, 107 Calculator

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


Online GCD Calculator is useful to find the GCD of 428, 969, 519, 107 quickly. Get the easiest ways to solve the greatest common divisor of 428, 969, 519, 107 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 428, 969, 519, 107 with Factoring?

Given Input numbers are 428, 969, 519, 107

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

Divisors of 428 :

The positive integer divisors of 428 that completely divides 428 are.

1, 2, 4, 107, 214, 428

Divisors of 969 :

The positive integer divisors of 969 that completely divides 969 are.

1, 3, 17, 19, 51, 57, 323, 969

Divisors of 519 :

The positive integer divisors of 519 that completely divides 519 are.

1, 3, 173, 519

Divisors of 107 :

The positive integer divisors of 107 that completely divides 107 are.

1, 107


GCD of numbers is the greatest common divisor

So, the GCD (428, 969, 519, 107) = 1.

Find GCD of 428, 969, 519, 107 using Prime Factorization

Given numbers are 428, 969, 519, 107

The list of prime factors of all numbers are

Prime factors of 428 are 2 x 2 x 107

Prime factors of 969 are 3 x 17 x 19

Prime factors of 519 are 3 x 173

Prime factors of 107 are 107

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

Steps to Calculate GCD of 428, 969, 519, 107 using LCM Formula

Given numbers are 428, 969, 519, 107

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

Apply this formula for all numbers.

Step1:

LCM(428, 969) = 414732

GCD(428, 969) = ( 428 x 969 ) / 414732

= 428 / 969

= 428


Step2:

LCM(1, 519) = 519

GCD(1, 519) = ( 1 x 519 ) / 519

= 1 / 519

= 1


Step3:

LCM(1, 107) = 107

GCD(1, 107) = ( 1 x 107 ) / 107

= 1 / 107

= 1


So, Greatest Common Divisor of 428, 969, 519, 107 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 428, 969, 519, 107

Given numbers are 428, 969, 519, 107
The greatest common divisor of numbers 428, 969, 519, 107 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 428, 969, 519, 107 is 1.

FAQs on GCD of 428, 969, 519, 107 Calculator

1. What is the GCD of 428, 969, 519, 107?

GCD of given numbers 428, 969, 519, 107 is 1


2. How to calculate the greatest common divisor of 428, 969, 519, 107?

We can find the highest common divisor of 428, 969, 519, 107 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 428, 969, 519, 107 i.e 1.


3. How can I use the GCD of 428, 969, 519, 107Calculator?

Out the numbers 428, 969, 519, 107 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.