GCD of 340, 625, 947, 982 Calculator

Given Input numbers are 340, 625, 947, 982

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 625

List of positive integer divisors of 625 that divides 625 without a remainder.

1, 5, 25, 125, 625

Divisors of 947

List of positive integer divisors of 947 that divides 947 without a remainder.

1, 947

Divisors of 982

List of positive integer divisors of 982 that divides 982 without a remainder.

1, 2, 491, 982

Greatest Common Divisior

We found the divisors of 340, 625, 947, 982 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 340, 625, 947, 982 is 1.

Therefore, GCD of numbers 340, 625, 947, 982 is 1

Given Input Data is 340, 625, 947, 982

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 625 is 5 x 5 x 5 x 5

Prime Factorization of 947 is 947

Prime Factorization of 982 is 2 x 491

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(340, 625) = 42500

GCD(340, 625) = ( 340 x 625 ) / 42500

GCD(340, 625) = 212500 / 42500

GCD(340, 625) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 947

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

LCM(5, 947) = 4735

GCD(5, 947) = ( 5 x 947 ) / 4735

GCD(5, 947) = 4735 / 4735

GCD(5, 947) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 982

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

LCM(1, 982) = 982

GCD(1, 982) = ( 1 x 982 ) / 982

GCD(1, 982) = 982 / 982

GCD(1, 982) = 1

GCD of 340, 625, 947, 982 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 883, 657, 248, 121
• GCD of 548, 546, 109, 734
• GCD of 925, 157, 865, 646
• GCD of 646, 213, 129, 744
• GCD of 464, 163, 902, 859

1. What is the GCD of 340, 625, 947, 982?

GCD of 340, 625, 947, 982 is 1

2. Where do I get the detailed procedure to find GCD of 340, 625, 947, 982?

You can find a detailed procedure to find GCD of 340, 625, 947, 982 on our page.

3. How to find GCD of 340, 625, 947, 982 on a calculator?

You can find the GCD of 340, 625, 947, 982 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.