GCD of 357, 684, 74, 757 Calculator

Given Input numbers are 357, 684, 74, 757

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

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 684

List of positive integer divisors of 684 that divides 684 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

Divisors of 74

List of positive integer divisors of 74 that divides 74 without a remainder.

1, 2, 37, 74

Divisors of 757

List of positive integer divisors of 757 that divides 757 without a remainder.

1, 757

Greatest Common Divisior

We found the divisors of 357, 684, 74, 757 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 357, 684, 74, 757 is 1.

Therefore, GCD of numbers 357, 684, 74, 757 is 1

Given Input Data is 357, 684, 74, 757

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

Prime Factorization of 357 is 3 x 7 x 17

Prime Factorization of 684 is 2 x 2 x 3 x 3 x 19

Prime Factorization of 74 is 2 x 37

Prime Factorization of 757 is 757

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(357, 684) = 81396

GCD(357, 684) = ( 357 x 684 ) / 81396

GCD(357, 684) = 244188 / 81396

GCD(357, 684) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 74

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

LCM(3, 74) = 222

GCD(3, 74) = ( 3 x 74 ) / 222

GCD(3, 74) = 222 / 222

GCD(3, 74) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 757

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

LCM(1, 757) = 757

GCD(1, 757) = ( 1 x 757 ) / 757

GCD(1, 757) = 757 / 757

GCD(1, 757) = 1

GCD of 357, 684, 74, 757 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 418, 661, 25, 257
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• GCD of 926, 619, 51, 968

1. What is the GCD of 357, 684, 74, 757?

GCD of 357, 684, 74, 757 is 1

2. Where do I get the detailed procedure to find GCD of 357, 684, 74, 757?

You can find a detailed procedure to find GCD of 357, 684, 74, 757 on our page.

3. How to find GCD of 357, 684, 74, 757 on a calculator?

You can find the GCD of 357, 684, 74, 757 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.