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GCD of 747, 945, 464 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, 945, 464 quickly. Get the easiest ways to solve the greatest common divisor of 747, 945, 464 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 747, 945, 464 with Factoring?

Given Input numbers are 747, 945, 464

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 945 :

The positive integer divisors of 945 that completely divides 945 are.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

Divisors of 464 :

The positive integer divisors of 464 that completely divides 464 are.

1, 2, 4, 8, 16, 29, 58, 116, 232, 464


GCD of numbers is the greatest common divisor

So, the GCD (747, 945, 464) = 1.

Find GCD of 747, 945, 464 using Prime Factorization

Given numbers are 747, 945, 464

The list of prime factors of all numbers are

Prime factors of 747 are 3 x 3 x 83

Prime factors of 945 are 3 x 3 x 3 x 5 x 7

Prime factors of 464 are 2 x 2 x 2 x 2 x 29

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

Steps to Calculate GCD of 747, 945, 464 using LCM Formula

Given numbers are 747, 945, 464

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

Apply this formula for all numbers.

Step1:

LCM(747, 945) = 78435

GCD(747, 945) = ( 747 x 945 ) / 78435

= 747 / 945

= 747


Step2:

LCM(9, 464) = 4176

GCD(9, 464) = ( 9 x 464 ) / 4176

= 9 / 464

= 9


So, Greatest Common Divisor of 747, 945, 464 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 747, 945, 464

Given numbers are 747, 945, 464
The greatest common divisor of numbers 747, 945, 464 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 747, 945, 464 is 1.

FAQs on GCD of 747, 945, 464 Calculator

1. What is the GCD of 747, 945, 464?

GCD of given numbers 747, 945, 464 is 1


2. How to calculate the greatest common divisor of 747, 945, 464?

We can find the highest common divisor of 747, 945, 464 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, 945, 464 i.e 1.


3. How can I use the GCD of 747, 945, 464Calculator?

Out the numbers 747, 945, 464 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.