GCD of 700, 158, 302, 854 Calculator

Given Input numbers are 700, 158, 302, 854

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 158

List of positive integer divisors of 158 that divides 158 without a remainder.

1, 2, 79, 158

Divisors of 302

List of positive integer divisors of 302 that divides 302 without a remainder.

1, 2, 151, 302

Divisors of 854

List of positive integer divisors of 854 that divides 854 without a remainder.

1, 2, 7, 14, 61, 122, 427, 854

Greatest Common Divisior

We found the divisors of 700, 158, 302, 854 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 700, 158, 302, 854 is 2.

Therefore, GCD of numbers 700, 158, 302, 854 is 2

Given Input Data is 700, 158, 302, 854

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 158 is 2 x 79

Prime Factorization of 302 is 2 x 151

Prime Factorization of 854 is 2 x 7 x 61

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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, 158) = 55300

GCD(700, 158) = ( 700 x 158 ) / 55300

GCD(700, 158) = 110600 / 55300

GCD(700, 158) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 302

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

LCM(2, 302) = 302

GCD(2, 302) = ( 2 x 302 ) / 302

GCD(2, 302) = 604 / 302

GCD(2, 302) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 854

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

LCM(2, 854) = 854

GCD(2, 854) = ( 2 x 854 ) / 854

GCD(2, 854) = 1708 / 854

GCD(2, 854) = 2

GCD of 700, 158, 302, 854 is 2

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1. What is the GCD of 700, 158, 302, 854?

GCD of 700, 158, 302, 854 is 2

2. Where do I get the detailed procedure to find GCD of 700, 158, 302, 854?

You can find a detailed procedure to find GCD of 700, 158, 302, 854 on our page.

3. How to find GCD of 700, 158, 302, 854 on a calculator?

You can find the GCD of 700, 158, 302, 854 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.