GCD of 70, 269, 121, 220 Calculator

Given Input numbers are 70, 269, 121, 220

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

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 269

List of positive integer divisors of 269 that divides 269 without a remainder.

1, 269

Divisors of 121

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

1, 11, 121

Divisors of 220

List of positive integer divisors of 220 that divides 220 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

Greatest Common Divisior

We found the divisors of 70, 269, 121, 220 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 70, 269, 121, 220 is 1.

Therefore, GCD of numbers 70, 269, 121, 220 is 1

Given Input Data is 70, 269, 121, 220

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

Prime Factorization of 70 is 2 x 5 x 7

Prime Factorization of 269 is 269

Prime Factorization of 121 is 11 x 11

Prime Factorization of 220 is 2 x 2 x 5 x 11

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(70, 269) = 18830

GCD(70, 269) = ( 70 x 269 ) / 18830

GCD(70, 269) = 18830 / 18830

GCD(70, 269) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 121

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

LCM(1, 121) = 121

GCD(1, 121) = ( 1 x 121 ) / 121

GCD(1, 121) = 121 / 121

GCD(1, 121) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 220

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

LCM(1, 220) = 220

GCD(1, 220) = ( 1 x 220 ) / 220

GCD(1, 220) = 220 / 220

GCD(1, 220) = 1

GCD of 70, 269, 121, 220 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 43, 962, 633, 604
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• GCD of 54, 763, 319, 298
• GCD of 66, 455, 366, 678
• GCD of 52, 430, 367, 780

1. What is the GCD of 70, 269, 121, 220?

GCD of 70, 269, 121, 220 is 1

2. Where do I get the detailed procedure to find GCD of 70, 269, 121, 220?

You can find a detailed procedure to find GCD of 70, 269, 121, 220 on our page.

3. How to find GCD of 70, 269, 121, 220 on a calculator?

You can find the GCD of 70, 269, 121, 220 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.