GCD of 745, 688, 70, 353 Calculator

Given Input numbers are 745, 688, 70, 353

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

Divisors of 745

List of positive integer divisors of 745 that divides 745 without a remainder.

1, 5, 149, 745

Divisors of 688

List of positive integer divisors of 688 that divides 688 without a remainder.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

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 353

List of positive integer divisors of 353 that divides 353 without a remainder.

1, 353

Greatest Common Divisior

We found the divisors of 745, 688, 70, 353 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 745, 688, 70, 353 is 1.

Therefore, GCD of numbers 745, 688, 70, 353 is 1

Given Input Data is 745, 688, 70, 353

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

Prime Factorization of 745 is 5 x 149

Prime Factorization of 688 is 2 x 2 x 2 x 2 x 43

Prime Factorization of 70 is 2 x 5 x 7

Prime Factorization of 353 is 353

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(745, 688) = 512560

GCD(745, 688) = ( 745 x 688 ) / 512560

GCD(745, 688) = 512560 / 512560

GCD(745, 688) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 70

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

LCM(1, 70) = 70

GCD(1, 70) = ( 1 x 70 ) / 70

GCD(1, 70) = 70 / 70

GCD(1, 70) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 353

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

LCM(1, 353) = 353

GCD(1, 353) = ( 1 x 353 ) / 353

GCD(1, 353) = 353 / 353

GCD(1, 353) = 1

GCD of 745, 688, 70, 353 is 1

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• GCD of 599, 997, 46, 966
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1. What is the GCD of 745, 688, 70, 353?

GCD of 745, 688, 70, 353 is 1

2. Where do I get the detailed procedure to find GCD of 745, 688, 70, 353?

You can find a detailed procedure to find GCD of 745, 688, 70, 353 on our page.

3. How to find GCD of 745, 688, 70, 353 on a calculator?

You can find the GCD of 745, 688, 70, 353 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.