GCD of 350, 554, 974, 210 Calculator

Given Input numbers are 350, 554, 974, 210

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

Divisors of 350

List of positive integer divisors of 350 that divides 350 without a remainder.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

Divisors of 554

List of positive integer divisors of 554 that divides 554 without a remainder.

1, 2, 277, 554

Divisors of 974

List of positive integer divisors of 974 that divides 974 without a remainder.

1, 2, 487, 974

Divisors of 210

List of positive integer divisors of 210 that divides 210 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

Greatest Common Divisior

We found the divisors of 350, 554, 974, 210 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 350, 554, 974, 210 is 2.

Therefore, GCD of numbers 350, 554, 974, 210 is 2

Given Input Data is 350, 554, 974, 210

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

Prime Factorization of 350 is 2 x 5 x 5 x 7

Prime Factorization of 554 is 2 x 277

Prime Factorization of 974 is 2 x 487

Prime Factorization of 210 is 2 x 3 x 5 x 7

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(350, 554) = 96950

GCD(350, 554) = ( 350 x 554 ) / 96950

GCD(350, 554) = 193900 / 96950

GCD(350, 554) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 974

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

LCM(2, 974) = 974

GCD(2, 974) = ( 2 x 974 ) / 974

GCD(2, 974) = 1948 / 974

GCD(2, 974) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 210

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

LCM(2, 210) = 210

GCD(2, 210) = ( 2 x 210 ) / 210

GCD(2, 210) = 420 / 210

GCD(2, 210) = 2

GCD of 350, 554, 974, 210 is 2

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1. What is the GCD of 350, 554, 974, 210?

GCD of 350, 554, 974, 210 is 2

2. Where do I get the detailed procedure to find GCD of 350, 554, 974, 210?

You can find a detailed procedure to find GCD of 350, 554, 974, 210 on our page.

3. How to find GCD of 350, 554, 974, 210 on a calculator?

You can find the GCD of 350, 554, 974, 210 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.