GCD of 139, 274, 840, 320 Calculator

Given Input numbers are 139, 274, 840, 320

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

Divisors of 139

List of positive integer divisors of 139 that divides 139 without a remainder.

1, 139

Divisors of 274

List of positive integer divisors of 274 that divides 274 without a remainder.

1, 2, 137, 274

Divisors of 840

List of positive integer divisors of 840 that divides 840 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

Divisors of 320

List of positive integer divisors of 320 that divides 320 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

Greatest Common Divisior

We found the divisors of 139, 274, 840, 320 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 139, 274, 840, 320 is 1.

Therefore, GCD of numbers 139, 274, 840, 320 is 1

Given Input Data is 139, 274, 840, 320

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

Prime Factorization of 139 is 139

Prime Factorization of 274 is 2 x 137

Prime Factorization of 840 is 2 x 2 x 2 x 3 x 5 x 7

Prime Factorization of 320 is 2 x 2 x 2 x 2 x 2 x 2 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(139, 274) = 38086

GCD(139, 274) = ( 139 x 274 ) / 38086

GCD(139, 274) = 38086 / 38086

GCD(139, 274) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 840

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

LCM(1, 840) = 840

GCD(1, 840) = ( 1 x 840 ) / 840

GCD(1, 840) = 840 / 840

GCD(1, 840) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 320

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

LCM(1, 320) = 320

GCD(1, 320) = ( 1 x 320 ) / 320

GCD(1, 320) = 320 / 320

GCD(1, 320) = 1

GCD of 139, 274, 840, 320 is 1

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1. What is the GCD of 139, 274, 840, 320?

GCD of 139, 274, 840, 320 is 1

2. Where do I get the detailed procedure to find GCD of 139, 274, 840, 320?

You can find a detailed procedure to find GCD of 139, 274, 840, 320 on our page.

3. How to find GCD of 139, 274, 840, 320 on a calculator?

You can find the GCD of 139, 274, 840, 320 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.