GCD of 10, 290, 700, 934 Calculator

Given Input numbers are 10, 290, 700, 934

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

Divisors of 10

List of positive integer divisors of 10 that divides 10 without a remainder.

1, 2, 5, 10

Divisors of 290

List of positive integer divisors of 290 that divides 290 without a remainder.

1, 2, 5, 10, 29, 58, 145, 290

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 934

List of positive integer divisors of 934 that divides 934 without a remainder.

1, 2, 467, 934

Greatest Common Divisior

We found the divisors of 10, 290, 700, 934 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 10, 290, 700, 934 is 2.

Therefore, GCD of numbers 10, 290, 700, 934 is 2

Given Input Data is 10, 290, 700, 934

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

Prime Factorization of 10 is 2 x 5

Prime Factorization of 290 is 2 x 5 x 29

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

Prime Factorization of 934 is 2 x 467

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(10, 290) = 290

GCD(10, 290) = ( 10 x 290 ) / 290

GCD(10, 290) = 2900 / 290

GCD(10, 290) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 700

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

LCM(10, 700) = 700

GCD(10, 700) = ( 10 x 700 ) / 700

GCD(10, 700) = 7000 / 700

GCD(10, 700) = 10

Step3:

Here we consider the GCD from the above i.e. 10 as first number and the next as 934

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

LCM(10, 934) = 4670

GCD(10, 934) = ( 10 x 934 ) / 4670

GCD(10, 934) = 9340 / 4670

GCD(10, 934) = 2

GCD of 10, 290, 700, 934 is 2

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1. What is the GCD of 10, 290, 700, 934?

GCD of 10, 290, 700, 934 is 2

2. Where do I get the detailed procedure to find GCD of 10, 290, 700, 934?

You can find a detailed procedure to find GCD of 10, 290, 700, 934 on our page.

3. How to find GCD of 10, 290, 700, 934 on a calculator?

You can find the GCD of 10, 290, 700, 934 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.