GCD of 49, 346, 980, 240 Calculator

Given Input numbers are 49, 346, 980, 240

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

Divisors of 49

List of positive integer divisors of 49 that divides 49 without a remainder.

1, 7, 49

Divisors of 346

List of positive integer divisors of 346 that divides 346 without a remainder.

1, 2, 173, 346

Divisors of 980

List of positive integer divisors of 980 that divides 980 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980

Divisors of 240

List of positive integer divisors of 240 that divides 240 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

Greatest Common Divisior

We found the divisors of 49, 346, 980, 240 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 49, 346, 980, 240 is 1.

Therefore, GCD of numbers 49, 346, 980, 240 is 1

Given Input Data is 49, 346, 980, 240

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

Prime Factorization of 49 is 7 x 7

Prime Factorization of 346 is 2 x 173

Prime Factorization of 980 is 2 x 2 x 5 x 7 x 7

Prime Factorization of 240 is 2 x 2 x 2 x 2 x 3 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(49, 346) = 16954

GCD(49, 346) = ( 49 x 346 ) / 16954

GCD(49, 346) = 16954 / 16954

GCD(49, 346) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 980

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

LCM(1, 980) = 980

GCD(1, 980) = ( 1 x 980 ) / 980

GCD(1, 980) = 980 / 980

GCD(1, 980) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 240

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

LCM(1, 240) = 240

GCD(1, 240) = ( 1 x 240 ) / 240

GCD(1, 240) = 240 / 240

GCD(1, 240) = 1

GCD of 49, 346, 980, 240 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 77, 353, 913, 723
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• GCD of 31, 701, 281, 489
• GCD of 57, 385, 757, 712

1. What is the GCD of 49, 346, 980, 240?

GCD of 49, 346, 980, 240 is 1

2. Where do I get the detailed procedure to find GCD of 49, 346, 980, 240?

You can find a detailed procedure to find GCD of 49, 346, 980, 240 on our page.

3. How to find GCD of 49, 346, 980, 240 on a calculator?

You can find the GCD of 49, 346, 980, 240 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.