GCD of 902, 745, 343, 991 Calculator

Given Input numbers are 902, 745, 343, 991

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

Divisors of 902

List of positive integer divisors of 902 that divides 902 without a remainder.

1, 2, 11, 22, 41, 82, 451, 902

Divisors of 745

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

1, 5, 149, 745

Divisors of 343

List of positive integer divisors of 343 that divides 343 without a remainder.

1, 7, 49, 343

Divisors of 991

List of positive integer divisors of 991 that divides 991 without a remainder.

1, 991

Greatest Common Divisior

We found the divisors of 902, 745, 343, 991 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 902, 745, 343, 991 is 1.

Therefore, GCD of numbers 902, 745, 343, 991 is 1

Given Input Data is 902, 745, 343, 991

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

Prime Factorization of 902 is 2 x 11 x 41

Prime Factorization of 745 is 5 x 149

Prime Factorization of 343 is 7 x 7 x 7

Prime Factorization of 991 is 991

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(902, 745) = 671990

GCD(902, 745) = ( 902 x 745 ) / 671990

GCD(902, 745) = 671990 / 671990

GCD(902, 745) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 343

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

LCM(1, 343) = 343

GCD(1, 343) = ( 1 x 343 ) / 343

GCD(1, 343) = 343 / 343

GCD(1, 343) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 991

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

LCM(1, 991) = 991

GCD(1, 991) = ( 1 x 991 ) / 991

GCD(1, 991) = 991 / 991

GCD(1, 991) = 1

GCD of 902, 745, 343, 991 is 1

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1. What is the GCD of 902, 745, 343, 991?

GCD of 902, 745, 343, 991 is 1

2. Where do I get the detailed procedure to find GCD of 902, 745, 343, 991?

You can find a detailed procedure to find GCD of 902, 745, 343, 991 on our page.

3. How to find GCD of 902, 745, 343, 991 on a calculator?

You can find the GCD of 902, 745, 343, 991 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.