GCD of 315, 434, 70, 125 Calculator

Given Input numbers are 315, 434, 70, 125

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

Divisors of 315

List of positive integer divisors of 315 that divides 315 without a remainder.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

Divisors of 434

List of positive integer divisors of 434 that divides 434 without a remainder.

1, 2, 7, 14, 31, 62, 217, 434

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 125

List of positive integer divisors of 125 that divides 125 without a remainder.

1, 5, 25, 125

Greatest Common Divisior

We found the divisors of 315, 434, 70, 125 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 315, 434, 70, 125 is 1.

Therefore, GCD of numbers 315, 434, 70, 125 is 1

Given Input Data is 315, 434, 70, 125

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

Prime Factorization of 315 is 3 x 3 x 5 x 7

Prime Factorization of 434 is 2 x 7 x 31

Prime Factorization of 70 is 2 x 5 x 7

Prime Factorization of 125 is 5 x 5 x 5

The above numbers do not have any common prime factor. So GCD is 1

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(315, 434) = 19530

GCD(315, 434) = ( 315 x 434 ) / 19530

GCD(315, 434) = 136710 / 19530

GCD(315, 434) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 70

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

LCM(7, 70) = 70

GCD(7, 70) = ( 7 x 70 ) / 70

GCD(7, 70) = 490 / 70

GCD(7, 70) = 7

Step3:

Here we consider the GCD from the above i.e. 7 as first number and the next as 125

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

LCM(7, 125) = 875

GCD(7, 125) = ( 7 x 125 ) / 875

GCD(7, 125) = 875 / 875

GCD(7, 125) = 1

GCD of 315, 434, 70, 125 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 964, 546, 56, 145
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• GCD of 262, 802, 67, 566
• GCD of 410, 501, 66, 320
• GCD of 936, 441, 38, 177

1. What is the GCD of 315, 434, 70, 125?

GCD of 315, 434, 70, 125 is 1

2. Where do I get the detailed procedure to find GCD of 315, 434, 70, 125?

You can find a detailed procedure to find GCD of 315, 434, 70, 125 on our page.

3. How to find GCD of 315, 434, 70, 125 on a calculator?

You can find the GCD of 315, 434, 70, 125 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.