GCD of 356, 919, 709, 782 Calculator

Given Input numbers are 356, 919, 709, 782

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

Divisors of 356

List of positive integer divisors of 356 that divides 356 without a remainder.

1, 2, 4, 89, 178, 356

Divisors of 919

List of positive integer divisors of 919 that divides 919 without a remainder.

1, 919

Divisors of 709

List of positive integer divisors of 709 that divides 709 without a remainder.

1, 709

Divisors of 782

List of positive integer divisors of 782 that divides 782 without a remainder.

1, 2, 17, 23, 34, 46, 391, 782

Greatest Common Divisior

We found the divisors of 356, 919, 709, 782 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 356, 919, 709, 782 is 1.

Therefore, GCD of numbers 356, 919, 709, 782 is 1

Given Input Data is 356, 919, 709, 782

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

Prime Factorization of 356 is 2 x 2 x 89

Prime Factorization of 919 is 919

Prime Factorization of 709 is 709

Prime Factorization of 782 is 2 x 17 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(356, 919) = 327164

GCD(356, 919) = ( 356 x 919 ) / 327164

GCD(356, 919) = 327164 / 327164

GCD(356, 919) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 709

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

LCM(1, 709) = 709

GCD(1, 709) = ( 1 x 709 ) / 709

GCD(1, 709) = 709 / 709

GCD(1, 709) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 782

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

LCM(1, 782) = 782

GCD(1, 782) = ( 1 x 782 ) / 782

GCD(1, 782) = 782 / 782

GCD(1, 782) = 1

GCD of 356, 919, 709, 782 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 329, 303, 496, 362
• GCD of 924, 521, 459, 856
• GCD of 964, 560, 689, 420
• GCD of 965, 437, 151, 562
• GCD of 273, 418, 739, 988

1. What is the GCD of 356, 919, 709, 782?

GCD of 356, 919, 709, 782 is 1

2. Where do I get the detailed procedure to find GCD of 356, 919, 709, 782?

You can find a detailed procedure to find GCD of 356, 919, 709, 782 on our page.

3. How to find GCD of 356, 919, 709, 782 on a calculator?

You can find the GCD of 356, 919, 709, 782 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.