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GCD of 747, 429, 914, 903 Calculator

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


Online GCD Calculator is useful to find the GCD of 747, 429, 914, 903 quickly. Get the easiest ways to solve the greatest common divisor of 747, 429, 914, 903 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 747, 429, 914, 903 with Factoring?

Given Input numbers are 747, 429, 914, 903

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

Divisors of 747 :

The positive integer divisors of 747 that completely divides 747 are.

1, 3, 9, 83, 249, 747

Divisors of 429 :

The positive integer divisors of 429 that completely divides 429 are.

1, 3, 11, 13, 33, 39, 143, 429

Divisors of 914 :

The positive integer divisors of 914 that completely divides 914 are.

1, 2, 457, 914

Divisors of 903 :

The positive integer divisors of 903 that completely divides 903 are.

1, 3, 7, 21, 43, 129, 301, 903


GCD of numbers is the greatest common divisor

So, the GCD (747, 429, 914, 903) = 1.

Find GCD of 747, 429, 914, 903 using Prime Factorization

Given numbers are 747, 429, 914, 903

The list of prime factors of all numbers are

Prime factors of 747 are 3 x 3 x 83

Prime factors of 429 are 3 x 11 x 13

Prime factors of 914 are 2 x 457

Prime factors of 903 are 3 x 7 x 43

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

Steps to Calculate GCD of 747, 429, 914, 903 using LCM Formula

Given numbers are 747, 429, 914, 903

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

Apply this formula for all numbers.

Step1:

LCM(747, 429) = 106821

GCD(747, 429) = ( 747 x 429 ) / 106821

= 747 / 429

= 747


Step2:

LCM(3, 914) = 2742

GCD(3, 914) = ( 3 x 914 ) / 2742

= 3 / 914

= 3


Step3:

LCM(1, 903) = 903

GCD(1, 903) = ( 1 x 903 ) / 903

= 1 / 903

= 1


So, Greatest Common Divisor of 747, 429, 914, 903 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 747, 429, 914, 903

Given numbers are 747, 429, 914, 903
The greatest common divisor of numbers 747, 429, 914, 903 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 747, 429, 914, 903 is 1.

FAQs on GCD of 747, 429, 914, 903 Calculator

1. What is the GCD of 747, 429, 914, 903?

GCD of given numbers 747, 429, 914, 903 is 1


2. How to calculate the greatest common divisor of 747, 429, 914, 903?

We can find the highest common divisor of 747, 429, 914, 903 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 747, 429, 914, 903 i.e 1.


3. How can I use the GCD of 747, 429, 914, 903Calculator?

Out the numbers 747, 429, 914, 903 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.