GCD of 676, 392, 78, 148 Calculator

Given Input numbers are 676, 392, 78, 148

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

Divisors of 676

List of positive integer divisors of 676 that divides 676 without a remainder.

1, 2, 4, 13, 26, 52, 169, 338, 676

Divisors of 392

List of positive integer divisors of 392 that divides 392 without a remainder.

1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

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 148

List of positive integer divisors of 148 that divides 148 without a remainder.

1, 2, 4, 37, 74, 148

Greatest Common Divisior

We found the divisors of 676, 392, 78, 148 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 676, 392, 78, 148 is 2.

Therefore, GCD of numbers 676, 392, 78, 148 is 2

Given Input Data is 676, 392, 78, 148

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

Prime Factorization of 676 is 2 x 2 x 13 x 13

Prime Factorization of 392 is 2 x 2 x 2 x 7 x 7

Prime Factorization of 78 is 2 x 3 x 13

Prime Factorization of 148 is 2 x 2 x 37

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(676, 392) = 66248

GCD(676, 392) = ( 676 x 392 ) / 66248

GCD(676, 392) = 264992 / 66248

GCD(676, 392) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 78

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

LCM(4, 78) = 156

GCD(4, 78) = ( 4 x 78 ) / 156

GCD(4, 78) = 312 / 156

GCD(4, 78) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 148

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

LCM(2, 148) = 148

GCD(2, 148) = ( 2 x 148 ) / 148

GCD(2, 148) = 296 / 148

GCD(2, 148) = 2

GCD of 676, 392, 78, 148 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 872, 230, 39, 840
• GCD of 454, 618, 20, 293
• GCD of 601, 663, 63, 478
• GCD of 172, 382, 62, 942
• GCD of 225, 780, 47, 652

1. What is the GCD of 676, 392, 78, 148?

GCD of 676, 392, 78, 148 is 2

2. Where do I get the detailed procedure to find GCD of 676, 392, 78, 148?

You can find a detailed procedure to find GCD of 676, 392, 78, 148 on our page.

3. How to find GCD of 676, 392, 78, 148 on a calculator?

You can find the GCD of 676, 392, 78, 148 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.