GCD of 340, 490, 134, 126 Calculator

Given Input numbers are 340, 490, 134, 126

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

Divisors of 340

List of positive integer divisors of 340 that divides 340 without a remainder.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

Divisors of 490

List of positive integer divisors of 490 that divides 490 without a remainder.

1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

Divisors of 134

List of positive integer divisors of 134 that divides 134 without a remainder.

1, 2, 67, 134

Divisors of 126

List of positive integer divisors of 126 that divides 126 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

Greatest Common Divisior

We found the divisors of 340, 490, 134, 126 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 340, 490, 134, 126 is 2.

Therefore, GCD of numbers 340, 490, 134, 126 is 2

Given Input Data is 340, 490, 134, 126

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

Prime Factorization of 340 is 2 x 2 x 5 x 17

Prime Factorization of 490 is 2 x 5 x 7 x 7

Prime Factorization of 134 is 2 x 67

Prime Factorization of 126 is 2 x 3 x 3 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(340, 490) = 16660

GCD(340, 490) = ( 340 x 490 ) / 16660

GCD(340, 490) = 166600 / 16660

GCD(340, 490) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 134

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

LCM(10, 134) = 670

GCD(10, 134) = ( 10 x 134 ) / 670

GCD(10, 134) = 1340 / 670

GCD(10, 134) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 126

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

LCM(2, 126) = 126

GCD(2, 126) = ( 2 x 126 ) / 126

GCD(2, 126) = 252 / 126

GCD(2, 126) = 2

GCD of 340, 490, 134, 126 is 2

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1. What is the GCD of 340, 490, 134, 126?

GCD of 340, 490, 134, 126 is 2

2. Where do I get the detailed procedure to find GCD of 340, 490, 134, 126?

You can find a detailed procedure to find GCD of 340, 490, 134, 126 on our page.

3. How to find GCD of 340, 490, 134, 126 on a calculator?

You can find the GCD of 340, 490, 134, 126 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.