GCD of 77, 978, 344, 160 Calculator

Given Input numbers are 77, 978, 344, 160

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

Divisors of 77

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

1, 7, 11, 77

Divisors of 978

List of positive integer divisors of 978 that divides 978 without a remainder.

1, 2, 3, 6, 163, 326, 489, 978

Divisors of 344

List of positive integer divisors of 344 that divides 344 without a remainder.

1, 2, 4, 8, 43, 86, 172, 344

Divisors of 160

List of positive integer divisors of 160 that divides 160 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

Greatest Common Divisior

We found the divisors of 77, 978, 344, 160 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 77, 978, 344, 160 is 1.

Therefore, GCD of numbers 77, 978, 344, 160 is 1

Given Input Data is 77, 978, 344, 160

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

Prime Factorization of 77 is 7 x 11

Prime Factorization of 978 is 2 x 3 x 163

Prime Factorization of 344 is 2 x 2 x 2 x 43

Prime Factorization of 160 is 2 x 2 x 2 x 2 x 2 x 5

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(77, 978) = 75306

GCD(77, 978) = ( 77 x 978 ) / 75306

GCD(77, 978) = 75306 / 75306

GCD(77, 978) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 344

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

LCM(1, 344) = 344

GCD(1, 344) = ( 1 x 344 ) / 344

GCD(1, 344) = 344 / 344

GCD(1, 344) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 160

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

LCM(1, 160) = 160

GCD(1, 160) = ( 1 x 160 ) / 160

GCD(1, 160) = 160 / 160

GCD(1, 160) = 1

GCD of 77, 978, 344, 160 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 68, 130, 231, 162
• GCD of 16, 145, 491, 769
• GCD of 16, 390, 303, 445
• GCD of 66, 637, 159, 143
• GCD of 28, 290, 637, 497

1. What is the GCD of 77, 978, 344, 160?

GCD of 77, 978, 344, 160 is 1

2. Where do I get the detailed procedure to find GCD of 77, 978, 344, 160?

You can find a detailed procedure to find GCD of 77, 978, 344, 160 on our page.

3. How to find GCD of 77, 978, 344, 160 on a calculator?

You can find the GCD of 77, 978, 344, 160 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.