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GCD of 753, 276, 470 Calculator

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


Online GCD Calculator is useful to find the GCD of 753, 276, 470 quickly. Get the easiest ways to solve the greatest common divisor of 753, 276, 470 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 753, 276, 470 with Factoring?

Given Input numbers are 753, 276, 470

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

Divisors of 753 :

The positive integer divisors of 753 that completely divides 753 are.

1, 3, 251, 753

Divisors of 276 :

The positive integer divisors of 276 that completely divides 276 are.

1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

Divisors of 470 :

The positive integer divisors of 470 that completely divides 470 are.

1, 2, 5, 10, 47, 94, 235, 470


GCD of numbers is the greatest common divisor

So, the GCD (753, 276, 470) = 1.

Find GCD of 753, 276, 470 using Prime Factorization

Given numbers are 753, 276, 470

The list of prime factors of all numbers are

Prime factors of 753 are 3 x 251

Prime factors of 276 are 2 x 2 x 3 x 23

Prime factors of 470 are 2 x 5 x 47

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

Steps to Calculate GCD of 753, 276, 470 using LCM Formula

Given numbers are 753, 276, 470

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

Apply this formula for all numbers.

Step1:

LCM(753, 276) = 69276

GCD(753, 276) = ( 753 x 276 ) / 69276

= 753 / 276

= 753


Step2:

LCM(3, 470) = 1410

GCD(3, 470) = ( 3 x 470 ) / 1410

= 3 / 470

= 3


So, Greatest Common Divisor of 753, 276, 470 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 753, 276, 470

Given numbers are 753, 276, 470
The greatest common divisor of numbers 753, 276, 470 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 753, 276, 470 is 1.

FAQs on GCD of 753, 276, 470 Calculator

1. What is the GCD of 753, 276, 470?

GCD of given numbers 753, 276, 470 is 1


2. How to calculate the greatest common divisor of 753, 276, 470?

We can find the highest common divisor of 753, 276, 470 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 753, 276, 470 i.e 1.


3. How can I use the GCD of 753, 276, 470Calculator?

Out the numbers 753, 276, 470 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.