GCD of 392, 280, 707 Calculator

Given Input numbers are 392, 280, 707

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

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 280

List of positive integer divisors of 280 that divides 280 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

Divisors of 707

List of positive integer divisors of 707 that divides 707 without a remainder.

1, 7, 101, 707

Greatest Common Divisior

We found the divisors of 392, 280, 707 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 392, 280, 707 is 7.

Therefore, GCD of numbers 392, 280, 707 is 7

Given Input Data is 392, 280, 707

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

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

Prime Factorization of 280 is 2 x 2 x 2 x 5 x 7

Prime Factorization of 707 is 7 x 101

Highest common occurrences in the given inputs are 7¹

Multiplying them we get the GCD as 7

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(392, 280) = 1960

GCD(392, 280) = ( 392 x 280 ) / 1960

GCD(392, 280) = 109760 / 1960

GCD(392, 280) = 56

Step2:

Here we consider the GCD from the above i.e. 56 as first number and the next as 707

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

LCM(56, 707) = 5656

GCD(56, 707) = ( 56 x 707 ) / 5656

GCD(56, 707) = 39592 / 5656

GCD(56, 707) = 7

GCD of 392, 280, 707 is 7

Here are some samples of GCD of Numbers calculations.

• GCD of 103, 655, 752
• GCD of 360, 383, 901
• GCD of 339, 691, 343
• GCD of 379, 558, 567
• GCD of 600, 579, 693

1. What is the GCD of 392, 280, 707?

GCD of 392, 280, 707 is 7

2. Where do I get the detailed procedure to find GCD of 392, 280, 707?

You can find a detailed procedure to find GCD of 392, 280, 707 on our page.

3. How to find GCD of 392, 280, 707 on a calculator?

You can find the GCD of 392, 280, 707 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.