GCD of 760, 292, 820, 143 Calculator

Given Input numbers are 760, 292, 820, 143

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

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 292

List of positive integer divisors of 292 that divides 292 without a remainder.

1, 2, 4, 73, 146, 292

Divisors of 820

List of positive integer divisors of 820 that divides 820 without a remainder.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

Divisors of 143

List of positive integer divisors of 143 that divides 143 without a remainder.

1, 11, 13, 143

Greatest Common Divisior

We found the divisors of 760, 292, 820, 143 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 760, 292, 820, 143 is 1.

Therefore, GCD of numbers 760, 292, 820, 143 is 1

Given Input Data is 760, 292, 820, 143

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

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

Prime Factorization of 292 is 2 x 2 x 73

Prime Factorization of 820 is 2 x 2 x 5 x 41

Prime Factorization of 143 is 11 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(760, 292) = 55480

GCD(760, 292) = ( 760 x 292 ) / 55480

GCD(760, 292) = 221920 / 55480

GCD(760, 292) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 820

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

LCM(4, 820) = 820

GCD(4, 820) = ( 4 x 820 ) / 820

GCD(4, 820) = 3280 / 820

GCD(4, 820) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 143

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

LCM(4, 143) = 572

GCD(4, 143) = ( 4 x 143 ) / 572

GCD(4, 143) = 572 / 572

GCD(4, 143) = 1

GCD of 760, 292, 820, 143 is 1

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1. What is the GCD of 760, 292, 820, 143?

GCD of 760, 292, 820, 143 is 1

2. Where do I get the detailed procedure to find GCD of 760, 292, 820, 143?

You can find a detailed procedure to find GCD of 760, 292, 820, 143 on our page.

3. How to find GCD of 760, 292, 820, 143 on a calculator?

You can find the GCD of 760, 292, 820, 143 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.