GCD of 778, 240, 417, 672 Calculator

Given Input numbers are 778, 240, 417, 672

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

Divisors of 778

List of positive integer divisors of 778 that divides 778 without a remainder.

1, 2, 389, 778

Divisors of 240

List of positive integer divisors of 240 that divides 240 without a remainder.

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

Divisors of 417

List of positive integer divisors of 417 that divides 417 without a remainder.

1, 3, 139, 417

Divisors of 672

List of positive integer divisors of 672 that divides 672 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

Greatest Common Divisior

We found the divisors of 778, 240, 417, 672 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 778, 240, 417, 672 is 1.

Therefore, GCD of numbers 778, 240, 417, 672 is 1

Given Input Data is 778, 240, 417, 672

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

Prime Factorization of 778 is 2 x 389

Prime Factorization of 240 is 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 417 is 3 x 139

Prime Factorization of 672 is 2 x 2 x 2 x 2 x 2 x 3 x 7

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(778, 240) = 93360

GCD(778, 240) = ( 778 x 240 ) / 93360

GCD(778, 240) = 186720 / 93360

GCD(778, 240) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 417

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

LCM(2, 417) = 834

GCD(2, 417) = ( 2 x 417 ) / 834

GCD(2, 417) = 834 / 834

GCD(2, 417) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 672

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

LCM(1, 672) = 672

GCD(1, 672) = ( 1 x 672 ) / 672

GCD(1, 672) = 672 / 672

GCD(1, 672) = 1

GCD of 778, 240, 417, 672 is 1

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1. What is the GCD of 778, 240, 417, 672?

GCD of 778, 240, 417, 672 is 1

2. Where do I get the detailed procedure to find GCD of 778, 240, 417, 672?

You can find a detailed procedure to find GCD of 778, 240, 417, 672 on our page.

3. How to find GCD of 778, 240, 417, 672 on a calculator?

You can find the GCD of 778, 240, 417, 672 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.