GCD of 902, 672, 78, 778 Calculator

Given Input numbers are 902, 672, 78, 778

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

Divisors of 902

List of positive integer divisors of 902 that divides 902 without a remainder.

1, 2, 11, 22, 41, 82, 451, 902

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

Divisors of 78

List of positive integer divisors of 78 that divides 78 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78

Divisors of 778

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

1, 2, 389, 778

Greatest Common Divisior

We found the divisors of 902, 672, 78, 778 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 902, 672, 78, 778 is 2.

Therefore, GCD of numbers 902, 672, 78, 778 is 2

Given Input Data is 902, 672, 78, 778

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

Prime Factorization of 902 is 2 x 11 x 41

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

Prime Factorization of 78 is 2 x 3 x 13

Prime Factorization of 778 is 2 x 389

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(902, 672) = 303072

GCD(902, 672) = ( 902 x 672 ) / 303072

GCD(902, 672) = 606144 / 303072

GCD(902, 672) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 78

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

LCM(2, 78) = 78

GCD(2, 78) = ( 2 x 78 ) / 78

GCD(2, 78) = 156 / 78

GCD(2, 78) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 778

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

LCM(2, 778) = 778

GCD(2, 778) = ( 2 x 778 ) / 778

GCD(2, 778) = 1556 / 778

GCD(2, 778) = 2

GCD of 902, 672, 78, 778 is 2

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1. What is the GCD of 902, 672, 78, 778?

GCD of 902, 672, 78, 778 is 2

2. Where do I get the detailed procedure to find GCD of 902, 672, 78, 778?

You can find a detailed procedure to find GCD of 902, 672, 78, 778 on our page.

3. How to find GCD of 902, 672, 78, 778 on a calculator?

You can find the GCD of 902, 672, 78, 778 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.