GCD of 707, 469, 949, 992 Calculator

Given Input numbers are 707, 469, 949, 992

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

Divisors of 707

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

1, 7, 101, 707

Divisors of 469

List of positive integer divisors of 469 that divides 469 without a remainder.

1, 7, 67, 469

Divisors of 949

List of positive integer divisors of 949 that divides 949 without a remainder.

1, 13, 73, 949

Divisors of 992

List of positive integer divisors of 992 that divides 992 without a remainder.

1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

Greatest Common Divisior

We found the divisors of 707, 469, 949, 992 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 707, 469, 949, 992 is 1.

Therefore, GCD of numbers 707, 469, 949, 992 is 1

Given Input Data is 707, 469, 949, 992

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

Prime Factorization of 707 is 7 x 101

Prime Factorization of 469 is 7 x 67

Prime Factorization of 949 is 13 x 73

Prime Factorization of 992 is 2 x 2 x 2 x 2 x 2 x 31

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(707, 469) = 47369

GCD(707, 469) = ( 707 x 469 ) / 47369

GCD(707, 469) = 331583 / 47369

GCD(707, 469) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 949

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

LCM(7, 949) = 6643

GCD(7, 949) = ( 7 x 949 ) / 6643

GCD(7, 949) = 6643 / 6643

GCD(7, 949) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 992

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

LCM(1, 992) = 992

GCD(1, 992) = ( 1 x 992 ) / 992

GCD(1, 992) = 992 / 992

GCD(1, 992) = 1

GCD of 707, 469, 949, 992 is 1

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1. What is the GCD of 707, 469, 949, 992?

GCD of 707, 469, 949, 992 is 1

2. Where do I get the detailed procedure to find GCD of 707, 469, 949, 992?

You can find a detailed procedure to find GCD of 707, 469, 949, 992 on our page.

3. How to find GCD of 707, 469, 949, 992 on a calculator?

You can find the GCD of 707, 469, 949, 992 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.