GCD of 710, 376, 543, 689 Calculator

Given Input numbers are 710, 376, 543, 689

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

Divisors of 710

List of positive integer divisors of 710 that divides 710 without a remainder.

1, 2, 5, 10, 71, 142, 355, 710

Divisors of 376

List of positive integer divisors of 376 that divides 376 without a remainder.

1, 2, 4, 8, 47, 94, 188, 376

Divisors of 543

List of positive integer divisors of 543 that divides 543 without a remainder.

1, 3, 181, 543

Divisors of 689

List of positive integer divisors of 689 that divides 689 without a remainder.

1, 13, 53, 689

Greatest Common Divisior

We found the divisors of 710, 376, 543, 689 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 710, 376, 543, 689 is 1.

Therefore, GCD of numbers 710, 376, 543, 689 is 1

Given Input Data is 710, 376, 543, 689

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

Prime Factorization of 710 is 2 x 5 x 71

Prime Factorization of 376 is 2 x 2 x 2 x 47

Prime Factorization of 543 is 3 x 181

Prime Factorization of 689 is 13 x 53

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(710, 376) = 133480

GCD(710, 376) = ( 710 x 376 ) / 133480

GCD(710, 376) = 266960 / 133480

GCD(710, 376) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 543

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

LCM(2, 543) = 1086

GCD(2, 543) = ( 2 x 543 ) / 1086

GCD(2, 543) = 1086 / 1086

GCD(2, 543) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 689

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

LCM(1, 689) = 689

GCD(1, 689) = ( 1 x 689 ) / 689

GCD(1, 689) = 689 / 689

GCD(1, 689) = 1

GCD of 710, 376, 543, 689 is 1

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• GCD of 763, 168, 956, 492
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1. What is the GCD of 710, 376, 543, 689?

GCD of 710, 376, 543, 689 is 1

2. Where do I get the detailed procedure to find GCD of 710, 376, 543, 689?

You can find a detailed procedure to find GCD of 710, 376, 543, 689 on our page.

3. How to find GCD of 710, 376, 543, 689 on a calculator?

You can find the GCD of 710, 376, 543, 689 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.