GCD of 760, 471, 77, 644 Calculator

Given Input numbers are 760, 471, 77, 644

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 471

List of positive integer divisors of 471 that divides 471 without a remainder.

1, 3, 157, 471

Divisors of 77

List of positive integer divisors of 77 that divides 77 without a remainder.

1, 7, 11, 77

Divisors of 644

List of positive integer divisors of 644 that divides 644 without a remainder.

1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

Greatest Common Divisior

We found the divisors of 760, 471, 77, 644 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 760, 471, 77, 644 is 1.

Therefore, GCD of numbers 760, 471, 77, 644 is 1

Given Input Data is 760, 471, 77, 644

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 471 is 3 x 157

Prime Factorization of 77 is 7 x 11

Prime Factorization of 644 is 2 x 2 x 7 x 23

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, 471) = 357960

GCD(760, 471) = ( 760 x 471 ) / 357960

GCD(760, 471) = 357960 / 357960

GCD(760, 471) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 77

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

LCM(1, 77) = 77

GCD(1, 77) = ( 1 x 77 ) / 77

GCD(1, 77) = 77 / 77

GCD(1, 77) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 644

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

LCM(1, 644) = 644

GCD(1, 644) = ( 1 x 644 ) / 644

GCD(1, 644) = 644 / 644

GCD(1, 644) = 1

GCD of 760, 471, 77, 644 is 1

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1. What is the GCD of 760, 471, 77, 644?

GCD of 760, 471, 77, 644 is 1

2. Where do I get the detailed procedure to find GCD of 760, 471, 77, 644?

You can find a detailed procedure to find GCD of 760, 471, 77, 644 on our page.

3. How to find GCD of 760, 471, 77, 644 on a calculator?

You can find the GCD of 760, 471, 77, 644 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.