GCD of 780, 778, 124, 134 Calculator

Given Input numbers are 780, 778, 124, 134

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

Divisors of 780

List of positive integer divisors of 780 that divides 780 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

Divisors of 778

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

1, 2, 389, 778

Divisors of 124

List of positive integer divisors of 124 that divides 124 without a remainder.

1, 2, 4, 31, 62, 124

Divisors of 134

List of positive integer divisors of 134 that divides 134 without a remainder.

1, 2, 67, 134

Greatest Common Divisior

We found the divisors of 780, 778, 124, 134 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 780, 778, 124, 134 is 2.

Therefore, GCD of numbers 780, 778, 124, 134 is 2

Given Input Data is 780, 778, 124, 134

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

Prime Factorization of 780 is 2 x 2 x 3 x 5 x 13

Prime Factorization of 778 is 2 x 389

Prime Factorization of 124 is 2 x 2 x 31

Prime Factorization of 134 is 2 x 67

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(780, 778) = 303420

GCD(780, 778) = ( 780 x 778 ) / 303420

GCD(780, 778) = 606840 / 303420

GCD(780, 778) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 124

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

LCM(2, 124) = 124

GCD(2, 124) = ( 2 x 124 ) / 124

GCD(2, 124) = 248 / 124

GCD(2, 124) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 134

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

LCM(2, 134) = 134

GCD(2, 134) = ( 2 x 134 ) / 134

GCD(2, 134) = 268 / 134

GCD(2, 134) = 2

GCD of 780, 778, 124, 134 is 2

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1. What is the GCD of 780, 778, 124, 134?

GCD of 780, 778, 124, 134 is 2

2. Where do I get the detailed procedure to find GCD of 780, 778, 124, 134?

You can find a detailed procedure to find GCD of 780, 778, 124, 134 on our page.

3. How to find GCD of 780, 778, 124, 134 on a calculator?

You can find the GCD of 780, 778, 124, 134 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.