GCD of 760, 692, 830, 575 Calculator

Given Input numbers are 760, 692, 830, 575

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 692

List of positive integer divisors of 692 that divides 692 without a remainder.

1, 2, 4, 173, 346, 692

Divisors of 830

List of positive integer divisors of 830 that divides 830 without a remainder.

1, 2, 5, 10, 83, 166, 415, 830

Divisors of 575

List of positive integer divisors of 575 that divides 575 without a remainder.

1, 5, 23, 25, 115, 575

Greatest Common Divisior

We found the divisors of 760, 692, 830, 575 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 760, 692, 830, 575 is 1.

Therefore, GCD of numbers 760, 692, 830, 575 is 1

Given Input Data is 760, 692, 830, 575

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 692 is 2 x 2 x 173

Prime Factorization of 830 is 2 x 5 x 83

Prime Factorization of 575 is 5 x 5 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, 692) = 131480

GCD(760, 692) = ( 760 x 692 ) / 131480

GCD(760, 692) = 525920 / 131480

GCD(760, 692) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 830

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

LCM(4, 830) = 1660

GCD(4, 830) = ( 4 x 830 ) / 1660

GCD(4, 830) = 3320 / 1660

GCD(4, 830) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 575

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

LCM(2, 575) = 1150

GCD(2, 575) = ( 2 x 575 ) / 1150

GCD(2, 575) = 1150 / 1150

GCD(2, 575) = 1

GCD of 760, 692, 830, 575 is 1

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1. What is the GCD of 760, 692, 830, 575?

GCD of 760, 692, 830, 575 is 1

2. Where do I get the detailed procedure to find GCD of 760, 692, 830, 575?

You can find a detailed procedure to find GCD of 760, 692, 830, 575 on our page.

3. How to find GCD of 760, 692, 830, 575 on a calculator?

You can find the GCD of 760, 692, 830, 575 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.