GCD of 762, 553, 214 Calculator

Given Input numbers are 762, 553, 214

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

Divisors of 762

List of positive integer divisors of 762 that divides 762 without a remainder.

1, 2, 3, 6, 127, 254, 381, 762

Divisors of 553

List of positive integer divisors of 553 that divides 553 without a remainder.

1, 7, 79, 553

Divisors of 214

List of positive integer divisors of 214 that divides 214 without a remainder.

1, 2, 107, 214

Greatest Common Divisior

We found the divisors of 762, 553, 214 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 762, 553, 214 is 1.

Therefore, GCD of numbers 762, 553, 214 is 1

Given Input Data is 762, 553, 214

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

Prime Factorization of 762 is 2 x 3 x 127

Prime Factorization of 553 is 7 x 79

Prime Factorization of 214 is 2 x 107

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(762, 553) = 421386

GCD(762, 553) = ( 762 x 553 ) / 421386

GCD(762, 553) = 421386 / 421386

GCD(762, 553) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 214

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

LCM(1, 214) = 214

GCD(1, 214) = ( 1 x 214 ) / 214

GCD(1, 214) = 214 / 214

GCD(1, 214) = 1

GCD of 762, 553, 214 is 1

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• GCD of 900, 597, 409
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• GCD of 674, 693, 213

1. What is the GCD of 762, 553, 214?

GCD of 762, 553, 214 is 1

2. Where do I get the detailed procedure to find GCD of 762, 553, 214?

You can find a detailed procedure to find GCD of 762, 553, 214 on our page.

3. How to find GCD of 762, 553, 214 on a calculator?

You can find the GCD of 762, 553, 214 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.