GCD of 102, 758, 971, 701 Calculator

Given Input numbers are 102, 758, 971, 701

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

Divisors of 102

List of positive integer divisors of 102 that divides 102 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102

Divisors of 758

List of positive integer divisors of 758 that divides 758 without a remainder.

1, 2, 379, 758

Divisors of 971

List of positive integer divisors of 971 that divides 971 without a remainder.

1, 971

Divisors of 701

List of positive integer divisors of 701 that divides 701 without a remainder.

1, 701

Greatest Common Divisior

We found the divisors of 102, 758, 971, 701 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 102, 758, 971, 701 is 1.

Therefore, GCD of numbers 102, 758, 971, 701 is 1

Given Input Data is 102, 758, 971, 701

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

Prime Factorization of 102 is 2 x 3 x 17

Prime Factorization of 758 is 2 x 379

Prime Factorization of 971 is 971

Prime Factorization of 701 is 701

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(102, 758) = 38658

GCD(102, 758) = ( 102 x 758 ) / 38658

GCD(102, 758) = 77316 / 38658

GCD(102, 758) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 971

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

LCM(2, 971) = 1942

GCD(2, 971) = ( 2 x 971 ) / 1942

GCD(2, 971) = 1942 / 1942

GCD(2, 971) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 701

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

LCM(1, 701) = 701

GCD(1, 701) = ( 1 x 701 ) / 701

GCD(1, 701) = 701 / 701

GCD(1, 701) = 1

GCD of 102, 758, 971, 701 is 1

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• GCD of 541, 610, 545, 244
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1. What is the GCD of 102, 758, 971, 701?

GCD of 102, 758, 971, 701 is 1

2. Where do I get the detailed procedure to find GCD of 102, 758, 971, 701?

You can find a detailed procedure to find GCD of 102, 758, 971, 701 on our page.

3. How to find GCD of 102, 758, 971, 701 on a calculator?

You can find the GCD of 102, 758, 971, 701 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.