GCD of 350, 374, 100, 130 Calculator

Given Input numbers are 350, 374, 100, 130

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 374

List of positive integer divisors of 374 that divides 374 without a remainder.

1, 2, 11, 17, 22, 34, 187, 374

Divisors of 100

List of positive integer divisors of 100 that divides 100 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100

Divisors of 130

List of positive integer divisors of 130 that divides 130 without a remainder.

1, 2, 5, 10, 13, 26, 65, 130

Greatest Common Divisior

We found the divisors of 350, 374, 100, 130 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 350, 374, 100, 130 is 2.

Therefore, GCD of numbers 350, 374, 100, 130 is 2

Given Input Data is 350, 374, 100, 130

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 374 is 2 x 11 x 17

Prime Factorization of 100 is 2 x 2 x 5 x 5

Prime Factorization of 130 is 2 x 5 x 13

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, 374) = 65450

GCD(350, 374) = ( 350 x 374 ) / 65450

GCD(350, 374) = 130900 / 65450

GCD(350, 374) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 100

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

LCM(2, 100) = 100

GCD(2, 100) = ( 2 x 100 ) / 100

GCD(2, 100) = 200 / 100

GCD(2, 100) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 130

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

LCM(2, 130) = 130

GCD(2, 130) = ( 2 x 130 ) / 130

GCD(2, 130) = 260 / 130

GCD(2, 130) = 2

GCD of 350, 374, 100, 130 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 610, 891, 342, 275
• GCD of 969, 661, 718, 865
• GCD of 692, 246, 541, 920
• GCD of 195, 855, 571, 649
• GCD of 543, 423, 287, 252

1. What is the GCD of 350, 374, 100, 130?

GCD of 350, 374, 100, 130 is 2

2. Where do I get the detailed procedure to find GCD of 350, 374, 100, 130?

You can find a detailed procedure to find GCD of 350, 374, 100, 130 on our page.

3. How to find GCD of 350, 374, 100, 130 on a calculator?

You can find the GCD of 350, 374, 100, 130 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.