GCD of 757, 221, 952, 169 Calculator

Given Input numbers are 757, 221, 952, 169

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

Divisors of 757

List of positive integer divisors of 757 that divides 757 without a remainder.

1, 757

Divisors of 221

List of positive integer divisors of 221 that divides 221 without a remainder.

1, 13, 17, 221

Divisors of 952

List of positive integer divisors of 952 that divides 952 without a remainder.

1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952

Divisors of 169

List of positive integer divisors of 169 that divides 169 without a remainder.

1, 13, 169

Greatest Common Divisior

We found the divisors of 757, 221, 952, 169 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 757, 221, 952, 169 is 1.

Therefore, GCD of numbers 757, 221, 952, 169 is 1

Given Input Data is 757, 221, 952, 169

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

Prime Factorization of 757 is 757

Prime Factorization of 221 is 13 x 17

Prime Factorization of 952 is 2 x 2 x 2 x 7 x 17

Prime Factorization of 169 is 13 x 13

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(757, 221) = 167297

GCD(757, 221) = ( 757 x 221 ) / 167297

GCD(757, 221) = 167297 / 167297

GCD(757, 221) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 952

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

LCM(1, 952) = 952

GCD(1, 952) = ( 1 x 952 ) / 952

GCD(1, 952) = 952 / 952

GCD(1, 952) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 169

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

LCM(1, 169) = 169

GCD(1, 169) = ( 1 x 169 ) / 169

GCD(1, 169) = 169 / 169

GCD(1, 169) = 1

GCD of 757, 221, 952, 169 is 1

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1. What is the GCD of 757, 221, 952, 169?

GCD of 757, 221, 952, 169 is 1

2. Where do I get the detailed procedure to find GCD of 757, 221, 952, 169?

You can find a detailed procedure to find GCD of 757, 221, 952, 169 on our page.

3. How to find GCD of 757, 221, 952, 169 on a calculator?

You can find the GCD of 757, 221, 952, 169 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.