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GCD of 738, 280, 271, 429 Calculator

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


Online GCD Calculator is useful to find the GCD of 738, 280, 271, 429 quickly. Get the easiest ways to solve the greatest common divisor of 738, 280, 271, 429 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 738, 280, 271, 429 with Factoring?

Given Input numbers are 738, 280, 271, 429

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

Divisors of 738 :

The positive integer divisors of 738 that completely divides 738 are.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Divisors of 280 :

The positive integer divisors of 280 that completely divides 280 are.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

Divisors of 271 :

The positive integer divisors of 271 that completely divides 271 are.

1, 271

Divisors of 429 :

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

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


GCD of numbers is the greatest common divisor

So, the GCD (738, 280, 271, 429) = 1.

Find GCD of 738, 280, 271, 429 using Prime Factorization

Given numbers are 738, 280, 271, 429

The list of prime factors of all numbers are

Prime factors of 738 are 2 x 3 x 3 x 41

Prime factors of 280 are 2 x 2 x 2 x 5 x 7

Prime factors of 271 are 271

Prime factors of 429 are 3 x 11 x 13

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

Steps to Calculate GCD of 738, 280, 271, 429 using LCM Formula

Given numbers are 738, 280, 271, 429

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

Apply this formula for all numbers.

Step1:

LCM(738, 280) = 103320

GCD(738, 280) = ( 738 x 280 ) / 103320

= 738 / 280

= 738


Step2:

LCM(2, 271) = 542

GCD(2, 271) = ( 2 x 271 ) / 542

= 2 / 271

= 2


Step3:

LCM(1, 429) = 429

GCD(1, 429) = ( 1 x 429 ) / 429

= 1 / 429

= 1


So, Greatest Common Divisor of 738, 280, 271, 429 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 738, 280, 271, 429

Given numbers are 738, 280, 271, 429
The greatest common divisor of numbers 738, 280, 271, 429 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 738, 280, 271, 429 is 1.

FAQs on GCD of 738, 280, 271, 429 Calculator

1. What is the GCD of 738, 280, 271, 429?

GCD of given numbers 738, 280, 271, 429 is 1


2. How to calculate the greatest common divisor of 738, 280, 271, 429?

We can find the highest common divisor of 738, 280, 271, 429 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 738, 280, 271, 429 i.e 1.


3. How can I use the GCD of 738, 280, 271, 429Calculator?

Out the numbers 738, 280, 271, 429 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.