GCD of 858, 218, 70, 748 Calculator

Given Input numbers are 858, 218, 70, 748

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

Divisors of 858

List of positive integer divisors of 858 that divides 858 without a remainder.

1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858

Divisors of 218

List of positive integer divisors of 218 that divides 218 without a remainder.

1, 2, 109, 218

Divisors of 70

List of positive integer divisors of 70 that divides 70 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70

Divisors of 748

List of positive integer divisors of 748 that divides 748 without a remainder.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Greatest Common Divisior

We found the divisors of 858, 218, 70, 748 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 858, 218, 70, 748 is 2.

Therefore, GCD of numbers 858, 218, 70, 748 is 2

Given Input Data is 858, 218, 70, 748

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

Prime Factorization of 858 is 2 x 3 x 11 x 13

Prime Factorization of 218 is 2 x 109

Prime Factorization of 70 is 2 x 5 x 7

Prime Factorization of 748 is 2 x 2 x 11 x 17

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(858, 218) = 93522

GCD(858, 218) = ( 858 x 218 ) / 93522

GCD(858, 218) = 187044 / 93522

GCD(858, 218) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 70

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

LCM(2, 70) = 70

GCD(2, 70) = ( 2 x 70 ) / 70

GCD(2, 70) = 140 / 70

GCD(2, 70) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 748

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

LCM(2, 748) = 748

GCD(2, 748) = ( 2 x 748 ) / 748

GCD(2, 748) = 1496 / 748

GCD(2, 748) = 2

GCD of 858, 218, 70, 748 is 2

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1. What is the GCD of 858, 218, 70, 748?

GCD of 858, 218, 70, 748 is 2

2. Where do I get the detailed procedure to find GCD of 858, 218, 70, 748?

You can find a detailed procedure to find GCD of 858, 218, 70, 748 on our page.

3. How to find GCD of 858, 218, 70, 748 on a calculator?

You can find the GCD of 858, 218, 70, 748 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.