GCD of 700, 895, 69, 784 Calculator

Given Input numbers are 700, 895, 69, 784

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

Divisors of 700

List of positive integer divisors of 700 that divides 700 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

Divisors of 895

List of positive integer divisors of 895 that divides 895 without a remainder.

1, 5, 179, 895

Divisors of 69

List of positive integer divisors of 69 that divides 69 without a remainder.

1, 3, 23, 69

Divisors of 784

List of positive integer divisors of 784 that divides 784 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

Greatest Common Divisior

We found the divisors of 700, 895, 69, 784 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 700, 895, 69, 784 is 1.

Therefore, GCD of numbers 700, 895, 69, 784 is 1

Given Input Data is 700, 895, 69, 784

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

Prime Factorization of 700 is 2 x 2 x 5 x 5 x 7

Prime Factorization of 895 is 5 x 179

Prime Factorization of 69 is 3 x 23

Prime Factorization of 784 is 2 x 2 x 2 x 2 x 7 x 7

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(700, 895) = 125300

GCD(700, 895) = ( 700 x 895 ) / 125300

GCD(700, 895) = 626500 / 125300

GCD(700, 895) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 69

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

LCM(5, 69) = 345

GCD(5, 69) = ( 5 x 69 ) / 345

GCD(5, 69) = 345 / 345

GCD(5, 69) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 784

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

LCM(1, 784) = 784

GCD(1, 784) = ( 1 x 784 ) / 784

GCD(1, 784) = 784 / 784

GCD(1, 784) = 1

GCD of 700, 895, 69, 784 is 1

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• GCD of 999, 274, 74, 291
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1. What is the GCD of 700, 895, 69, 784?

GCD of 700, 895, 69, 784 is 1

2. Where do I get the detailed procedure to find GCD of 700, 895, 69, 784?

You can find a detailed procedure to find GCD of 700, 895, 69, 784 on our page.

3. How to find GCD of 700, 895, 69, 784 on a calculator?

You can find the GCD of 700, 895, 69, 784 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.