GCD of 145, 220, 760, 434 Calculator

Given Input numbers are 145, 220, 760, 434

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

Divisors of 145

List of positive integer divisors of 145 that divides 145 without a remainder.

1, 5, 29, 145

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

Divisors of 760

List of positive integer divisors of 760 that divides 760 without a remainder.

1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

Divisors of 434

List of positive integer divisors of 434 that divides 434 without a remainder.

1, 2, 7, 14, 31, 62, 217, 434

Greatest Common Divisior

We found the divisors of 145, 220, 760, 434 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 145, 220, 760, 434 is 1.

Therefore, GCD of numbers 145, 220, 760, 434 is 1

Given Input Data is 145, 220, 760, 434

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

Prime Factorization of 145 is 5 x 29

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

Prime Factorization of 760 is 2 x 2 x 2 x 5 x 19

Prime Factorization of 434 is 2 x 7 x 31

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(145, 220) = 6380

GCD(145, 220) = ( 145 x 220 ) / 6380

GCD(145, 220) = 31900 / 6380

GCD(145, 220) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 760

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

LCM(5, 760) = 760

GCD(5, 760) = ( 5 x 760 ) / 760

GCD(5, 760) = 3800 / 760

GCD(5, 760) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 434

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

LCM(5, 434) = 2170

GCD(5, 434) = ( 5 x 434 ) / 2170

GCD(5, 434) = 2170 / 2170

GCD(5, 434) = 1

GCD of 145, 220, 760, 434 is 1

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1. What is the GCD of 145, 220, 760, 434?

GCD of 145, 220, 760, 434 is 1

2. Where do I get the detailed procedure to find GCD of 145, 220, 760, 434?

You can find a detailed procedure to find GCD of 145, 220, 760, 434 on our page.

3. How to find GCD of 145, 220, 760, 434 on a calculator?

You can find the GCD of 145, 220, 760, 434 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.