GCD of 828, 480, 967 Calculator

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCD Calculator to determine the Greatest Common Divisor of 828, 480, 967 i.e. 1 largest integer that divides all the numbers equally.

GCD of 828, 480, 967 is 1

GCD(828, 480, 967) = 1

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 828, 480, 967 is 1

GCD(828, 480, 967) = 1

GCD of 828,480,967 Calculator

GCDof 828,480,967 is 1

Given Input numbers are 828, 480, 967

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 828

List of positive integer divisors of 828 that divides 828 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

Divisors of 480

List of positive integer divisors of 480 that divides 480 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

Divisors of 967

List of positive integer divisors of 967 that divides 967 without a remainder.

1, 967

Greatest Common Divisior

We found the divisors of 828, 480, 967 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 828, 480, 967 is 1.

Therefore, GCD of numbers 828, 480, 967 is 1

Finding GCD of 828, 480, 967 using Prime Factorization

Given Input Data is 828, 480, 967

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 828 is 2 x 2 x 3 x 3 x 23

Prime Factorization of 480 is 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 967 is 967

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

Finding GCD of 828, 480, 967 using LCM Formula

Step1:

Let's calculate the GCD of first two numbers

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

LCM(828, 480) = 33120

GCD(828, 480) = ( 828 x 480 ) / 33120

GCD(828, 480) = 397440 / 33120

GCD(828, 480) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 967

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

LCM(12, 967) = 11604

GCD(12, 967) = ( 12 x 967 ) / 11604

GCD(12, 967) = 11604 / 11604

GCD(12, 967) = 1

GCD of 828, 480, 967 is 1

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FAQs on GCD of numbers 828, 480, 967

1. What is the GCD of 828, 480, 967?

GCD of 828, 480, 967 is 1

2. Where do I get the detailed procedure to find GCD of 828, 480, 967?

You can find a detailed procedure to find GCD of 828, 480, 967 on our page.

3. How to find GCD of 828, 480, 967 on a calculator?

You can find the GCD of 828, 480, 967 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.