GCD of 105, 551, 98, 705 Calculator

Given Input numbers are 105, 551, 98, 705

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

Divisors of 105

List of positive integer divisors of 105 that divides 105 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105

Divisors of 551

List of positive integer divisors of 551 that divides 551 without a remainder.

1, 19, 29, 551

Divisors of 98

List of positive integer divisors of 98 that divides 98 without a remainder.

1, 2, 7, 14, 49, 98

Divisors of 705

List of positive integer divisors of 705 that divides 705 without a remainder.

1, 3, 5, 15, 47, 141, 235, 705

Greatest Common Divisior

We found the divisors of 105, 551, 98, 705 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 105, 551, 98, 705 is 1.

Therefore, GCD of numbers 105, 551, 98, 705 is 1

Given Input Data is 105, 551, 98, 705

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

Prime Factorization of 105 is 3 x 5 x 7

Prime Factorization of 551 is 19 x 29

Prime Factorization of 98 is 2 x 7 x 7

Prime Factorization of 705 is 3 x 5 x 47

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(105, 551) = 57855

GCD(105, 551) = ( 105 x 551 ) / 57855

GCD(105, 551) = 57855 / 57855

GCD(105, 551) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 98

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

LCM(1, 98) = 98

GCD(1, 98) = ( 1 x 98 ) / 98

GCD(1, 98) = 98 / 98

GCD(1, 98) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 705

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

LCM(1, 705) = 705

GCD(1, 705) = ( 1 x 705 ) / 705

GCD(1, 705) = 705 / 705

GCD(1, 705) = 1

GCD of 105, 551, 98, 705 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 662, 283, 16, 837
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• GCD of 190, 543, 41, 607
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1. What is the GCD of 105, 551, 98, 705?

GCD of 105, 551, 98, 705 is 1

2. Where do I get the detailed procedure to find GCD of 105, 551, 98, 705?

You can find a detailed procedure to find GCD of 105, 551, 98, 705 on our page.

3. How to find GCD of 105, 551, 98, 705 on a calculator?

You can find the GCD of 105, 551, 98, 705 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.