GCD of 786, 480, 689, 277 Calculator

Given Input numbers are 786, 480, 689, 277

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

Divisors of 786

List of positive integer divisors of 786 that divides 786 without a remainder.

1, 2, 3, 6, 131, 262, 393, 786

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 689

List of positive integer divisors of 689 that divides 689 without a remainder.

1, 13, 53, 689

Divisors of 277

List of positive integer divisors of 277 that divides 277 without a remainder.

1, 277

Greatest Common Divisior

We found the divisors of 786, 480, 689, 277 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 786, 480, 689, 277 is 1.

Therefore, GCD of numbers 786, 480, 689, 277 is 1

Given Input Data is 786, 480, 689, 277

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

Prime Factorization of 786 is 2 x 3 x 131

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

Prime Factorization of 689 is 13 x 53

Prime Factorization of 277 is 277

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

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(786, 480) = 62880

GCD(786, 480) = ( 786 x 480 ) / 62880

GCD(786, 480) = 377280 / 62880

GCD(786, 480) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 689

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

LCM(6, 689) = 4134

GCD(6, 689) = ( 6 x 689 ) / 4134

GCD(6, 689) = 4134 / 4134

GCD(6, 689) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 277

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

LCM(1, 277) = 277

GCD(1, 277) = ( 1 x 277 ) / 277

GCD(1, 277) = 277 / 277

GCD(1, 277) = 1

GCD of 786, 480, 689, 277 is 1

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1. What is the GCD of 786, 480, 689, 277?

GCD of 786, 480, 689, 277 is 1

2. Where do I get the detailed procedure to find GCD of 786, 480, 689, 277?

You can find a detailed procedure to find GCD of 786, 480, 689, 277 on our page.

3. How to find GCD of 786, 480, 689, 277 on a calculator?

You can find the GCD of 786, 480, 689, 277 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.