GCD of 476, 928, 141, 769 Calculator

Given Input numbers are 476, 928, 141, 769

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

Divisors of 476

List of positive integer divisors of 476 that divides 476 without a remainder.

1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476

Divisors of 928

List of positive integer divisors of 928 that divides 928 without a remainder.

1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928

Divisors of 141

List of positive integer divisors of 141 that divides 141 without a remainder.

1, 3, 47, 141

Divisors of 769

List of positive integer divisors of 769 that divides 769 without a remainder.

1, 769

Greatest Common Divisior

We found the divisors of 476, 928, 141, 769 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 476, 928, 141, 769 is 1.

Therefore, GCD of numbers 476, 928, 141, 769 is 1

Given Input Data is 476, 928, 141, 769

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

Prime Factorization of 476 is 2 x 2 x 7 x 17

Prime Factorization of 928 is 2 x 2 x 2 x 2 x 2 x 29

Prime Factorization of 141 is 3 x 47

Prime Factorization of 769 is 769

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(476, 928) = 110432

GCD(476, 928) = ( 476 x 928 ) / 110432

GCD(476, 928) = 441728 / 110432

GCD(476, 928) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 141

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

LCM(4, 141) = 564

GCD(4, 141) = ( 4 x 141 ) / 564

GCD(4, 141) = 564 / 564

GCD(4, 141) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 769

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

LCM(1, 769) = 769

GCD(1, 769) = ( 1 x 769 ) / 769

GCD(1, 769) = 769 / 769

GCD(1, 769) = 1

GCD of 476, 928, 141, 769 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 728, 752, 577, 903
• GCD of 622, 696, 736, 643
• GCD of 116, 529, 518, 591
• GCD of 906, 812, 358, 727
• GCD of 935, 483, 418, 222

1. What is the GCD of 476, 928, 141, 769?

GCD of 476, 928, 141, 769 is 1

2. Where do I get the detailed procedure to find GCD of 476, 928, 141, 769?

You can find a detailed procedure to find GCD of 476, 928, 141, 769 on our page.

3. How to find GCD of 476, 928, 141, 769 on a calculator?

You can find the GCD of 476, 928, 141, 769 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.