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GCD of 801, 264, 777, 474 Calculator

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


Online GCD Calculator is useful to find the GCD of 801, 264, 777, 474 quickly. Get the easiest ways to solve the greatest common divisor of 801, 264, 777, 474 i.e 3 in different methods as follows.

GCD of

How to Find GCD of Numbers 801, 264, 777, 474 with Factoring?

Given Input numbers are 801, 264, 777, 474

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

Divisors of 801 :

The positive integer divisors of 801 that completely divides 801 are.

1, 3, 9, 89, 267, 801

Divisors of 264 :

The positive integer divisors of 264 that completely divides 264 are.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

Divisors of 777 :

The positive integer divisors of 777 that completely divides 777 are.

1, 3, 7, 21, 37, 111, 259, 777

Divisors of 474 :

The positive integer divisors of 474 that completely divides 474 are.

1, 2, 3, 6, 79, 158, 237, 474


GCD of numbers is the greatest common divisor

So, the GCD (801, 264, 777, 474) = 3.

Find GCD of 801, 264, 777, 474 using Prime Factorization

Given numbers are 801, 264, 777, 474

The list of prime factors of all numbers are

Prime factors of 801 are 3 x 3 x 89

Prime factors of 264 are 2 x 2 x 2 x 3 x 11

Prime factors of 777 are 3 x 7 x 37

Prime factors of 474 are 2 x 3 x 79

The highest common occurrence is 31

Therefore, GCD of 801, 264, 777, 474 is 3.

Steps to Calculate GCD of 801, 264, 777, 474 using LCM Formula

Given numbers are 801, 264, 777, 474

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

Apply this formula for all numbers.

Step1:

LCM(801, 264) = 70488

GCD(801, 264) = ( 801 x 264 ) / 70488

= 801 / 264

= 801


Step2:

LCM(3, 777) = 777

GCD(3, 777) = ( 3 x 777 ) / 777

= 3 / 777

= 3


Step3:

LCM(3, 474) = 474

GCD(3, 474) = ( 3 x 474 ) / 474

= 3 / 474

= 3


So, Greatest Common Divisor of 801, 264, 777, 474 is 3

GCD of Numbers Calculation Examples

Greatest Common Divisor of 801, 264, 777, 474

Given numbers are 801, 264, 777, 474
The greatest common divisor of numbers 801, 264, 777, 474 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 801, 264, 777, 474 is 3.

FAQs on GCD of 801, 264, 777, 474 Calculator

1. What is the GCD of 801, 264, 777, 474?

GCD of given numbers 801, 264, 777, 474 is 3


2. How to calculate the greatest common divisor of 801, 264, 777, 474?

We can find the highest common divisor of 801, 264, 777, 474 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 801, 264, 777, 474 i.e 3.


3. How can I use the GCD of 801, 264, 777, 474Calculator?

Out the numbers 801, 264, 777, 474 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.