GCD of 760, 357, 311, 699 Calculator

Given Input numbers are 760, 357, 311, 699

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 357

List of positive integer divisors of 357 that divides 357 without a remainder.

1, 3, 7, 17, 21, 51, 119, 357

Divisors of 311

List of positive integer divisors of 311 that divides 311 without a remainder.

1, 311

Divisors of 699

List of positive integer divisors of 699 that divides 699 without a remainder.

1, 3, 233, 699

Greatest Common Divisior

We found the divisors of 760, 357, 311, 699 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 760, 357, 311, 699 is 1.

Therefore, GCD of numbers 760, 357, 311, 699 is 1

Given Input Data is 760, 357, 311, 699

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 357 is 3 x 7 x 17

Prime Factorization of 311 is 311

Prime Factorization of 699 is 3 x 233

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, 357) = 271320

GCD(760, 357) = ( 760 x 357 ) / 271320

GCD(760, 357) = 271320 / 271320

GCD(760, 357) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 311

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

LCM(1, 311) = 311

GCD(1, 311) = ( 1 x 311 ) / 311

GCD(1, 311) = 311 / 311

GCD(1, 311) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 699

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

LCM(1, 699) = 699

GCD(1, 699) = ( 1 x 699 ) / 699

GCD(1, 699) = 699 / 699

GCD(1, 699) = 1

GCD of 760, 357, 311, 699 is 1

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• GCD of 548, 219, 288, 814
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• GCD of 660, 166, 779, 269

1. What is the GCD of 760, 357, 311, 699?

GCD of 760, 357, 311, 699 is 1

2. Where do I get the detailed procedure to find GCD of 760, 357, 311, 699?

You can find a detailed procedure to find GCD of 760, 357, 311, 699 on our page.

3. How to find GCD of 760, 357, 311, 699 on a calculator?

You can find the GCD of 760, 357, 311, 699 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.