GCD of 121, 274, 98, 699 Calculator

Given Input numbers are 121, 274, 98, 699

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

Divisors of 121

List of positive integer divisors of 121 that divides 121 without a remainder.

1, 11, 121

Divisors of 274

List of positive integer divisors of 274 that divides 274 without a remainder.

1, 2, 137, 274

Divisors of 98

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

1, 2, 7, 14, 49, 98

Divisors of 699

List of positive integer divisors of 699 that divides 699 without a remainder.

1, 3, 233, 699

Greatest Common Divisior

We found the divisors of 121, 274, 98, 699 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 121, 274, 98, 699 is 1.

Therefore, GCD of numbers 121, 274, 98, 699 is 1

Given Input Data is 121, 274, 98, 699

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

Prime Factorization of 121 is 11 x 11

Prime Factorization of 274 is 2 x 137

Prime Factorization of 98 is 2 x 7 x 7

Prime Factorization of 699 is 3 x 233

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(121, 274) = 33154

GCD(121, 274) = ( 121 x 274 ) / 33154

GCD(121, 274) = 33154 / 33154

GCD(121, 274) = 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 699

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

LCM(1, 699) = 699

GCD(1, 699) = ( 1 x 699 ) / 699

GCD(1, 699) = 699 / 699

GCD(1, 699) = 1

GCD of 121, 274, 98, 699 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 426, 952, 51, 355
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• GCD of 182, 730, 24, 973
• GCD of 371, 471, 14, 678
• GCD of 957, 746, 18, 535

1. What is the GCD of 121, 274, 98, 699?

GCD of 121, 274, 98, 699 is 1

2. Where do I get the detailed procedure to find GCD of 121, 274, 98, 699?

You can find a detailed procedure to find GCD of 121, 274, 98, 699 on our page.

3. How to find GCD of 121, 274, 98, 699 on a calculator?

You can find the GCD of 121, 274, 98, 699 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.