GCD of 478, 548, 77, 342 Calculator

Given Input numbers are 478, 548, 77, 342

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

Divisors of 478

List of positive integer divisors of 478 that divides 478 without a remainder.

1, 2, 239, 478

Divisors of 548

List of positive integer divisors of 548 that divides 548 without a remainder.

1, 2, 4, 137, 274, 548

Divisors of 77

List of positive integer divisors of 77 that divides 77 without a remainder.

1, 7, 11, 77

Divisors of 342

List of positive integer divisors of 342 that divides 342 without a remainder.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Greatest Common Divisior

We found the divisors of 478, 548, 77, 342 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 478, 548, 77, 342 is 1.

Therefore, GCD of numbers 478, 548, 77, 342 is 1

Given Input Data is 478, 548, 77, 342

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

Prime Factorization of 478 is 2 x 239

Prime Factorization of 548 is 2 x 2 x 137

Prime Factorization of 77 is 7 x 11

Prime Factorization of 342 is 2 x 3 x 3 x 19

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(478, 548) = 130972

GCD(478, 548) = ( 478 x 548 ) / 130972

GCD(478, 548) = 261944 / 130972

GCD(478, 548) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 77

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

LCM(2, 77) = 154

GCD(2, 77) = ( 2 x 77 ) / 154

GCD(2, 77) = 154 / 154

GCD(2, 77) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 342

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

LCM(1, 342) = 342

GCD(1, 342) = ( 1 x 342 ) / 342

GCD(1, 342) = 342 / 342

GCD(1, 342) = 1

GCD of 478, 548, 77, 342 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 779, 103, 72, 842
• GCD of 286, 295, 22, 703
• GCD of 204, 673, 77, 925
• GCD of 117, 710, 21, 947
• GCD of 121, 386, 20, 678

1. What is the GCD of 478, 548, 77, 342?

GCD of 478, 548, 77, 342 is 1

2. Where do I get the detailed procedure to find GCD of 478, 548, 77, 342?

You can find a detailed procedure to find GCD of 478, 548, 77, 342 on our page.

3. How to find GCD of 478, 548, 77, 342 on a calculator?

You can find the GCD of 478, 548, 77, 342 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.