GCD of 70, 992, 169, 385 Calculator

Given Input numbers are 70, 992, 169, 385

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

Divisors of 70

List of positive integer divisors of 70 that divides 70 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70

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

Divisors of 169

List of positive integer divisors of 169 that divides 169 without a remainder.

1, 13, 169

Divisors of 385

List of positive integer divisors of 385 that divides 385 without a remainder.

1, 5, 7, 11, 35, 55, 77, 385

Greatest Common Divisior

We found the divisors of 70, 992, 169, 385 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 70, 992, 169, 385 is 1.

Therefore, GCD of numbers 70, 992, 169, 385 is 1

Given Input Data is 70, 992, 169, 385

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

Prime Factorization of 70 is 2 x 5 x 7

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

Prime Factorization of 169 is 13 x 13

Prime Factorization of 385 is 5 x 7 x 11

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(70, 992) = 34720

GCD(70, 992) = ( 70 x 992 ) / 34720

GCD(70, 992) = 69440 / 34720

GCD(70, 992) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 169

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

LCM(2, 169) = 338

GCD(2, 169) = ( 2 x 169 ) / 338

GCD(2, 169) = 338 / 338

GCD(2, 169) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 385

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

LCM(1, 385) = 385

GCD(1, 385) = ( 1 x 385 ) / 385

GCD(1, 385) = 385 / 385

GCD(1, 385) = 1

GCD of 70, 992, 169, 385 is 1

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• GCD of 79, 944, 778, 246
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1. What is the GCD of 70, 992, 169, 385?

GCD of 70, 992, 169, 385 is 1

2. Where do I get the detailed procedure to find GCD of 70, 992, 169, 385?

You can find a detailed procedure to find GCD of 70, 992, 169, 385 on our page.

3. How to find GCD of 70, 992, 169, 385 on a calculator?

You can find the GCD of 70, 992, 169, 385 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.