GCD of 704, 880, 92, 340 Calculator

Given Input numbers are 704, 880, 92, 340

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

Divisors of 704

List of positive integer divisors of 704 that divides 704 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

Divisors of 880

List of positive integer divisors of 880 that divides 880 without a remainder.

1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880

Divisors of 92

List of positive integer divisors of 92 that divides 92 without a remainder.

1, 2, 4, 23, 46, 92

Divisors of 340

List of positive integer divisors of 340 that divides 340 without a remainder.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

Greatest Common Divisior

We found the divisors of 704, 880, 92, 340 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 704, 880, 92, 340 is 4.

Therefore, GCD of numbers 704, 880, 92, 340 is 4

Given Input Data is 704, 880, 92, 340

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

Prime Factorization of 704 is 2 x 2 x 2 x 2 x 2 x 2 x 11

Prime Factorization of 880 is 2 x 2 x 2 x 2 x 5 x 11

Prime Factorization of 92 is 2 x 2 x 23

Prime Factorization of 340 is 2 x 2 x 5 x 17

Highest common occurrences in the given inputs are 2²

Multiplying them we get the GCD as 4

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(704, 880) = 3520

GCD(704, 880) = ( 704 x 880 ) / 3520

GCD(704, 880) = 619520 / 3520

GCD(704, 880) = 176

Step2:

Here we consider the GCD from the above i.e. 176 as first number and the next as 92

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

LCM(176, 92) = 4048

GCD(176, 92) = ( 176 x 92 ) / 4048

GCD(176, 92) = 16192 / 4048

GCD(176, 92) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 340

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

LCM(4, 340) = 340

GCD(4, 340) = ( 4 x 340 ) / 340

GCD(4, 340) = 1360 / 340

GCD(4, 340) = 4

GCD of 704, 880, 92, 340 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 697, 425, 21, 474
• GCD of 129, 928, 55, 335
• GCD of 379, 737, 65, 286
• GCD of 150, 166, 83, 371
• GCD of 820, 417, 10, 985

1. What is the GCD of 704, 880, 92, 340?

GCD of 704, 880, 92, 340 is 4

2. Where do I get the detailed procedure to find GCD of 704, 880, 92, 340?

You can find a detailed procedure to find GCD of 704, 880, 92, 340 on our page.

3. How to find GCD of 704, 880, 92, 340 on a calculator?

You can find the GCD of 704, 880, 92, 340 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.