GCD of 640, 840, 71, 141 Calculator

Given Input numbers are 640, 840, 71, 141

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

Divisors of 640

List of positive integer divisors of 640 that divides 640 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640

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 71

List of positive integer divisors of 71 that divides 71 without a remainder.

1, 71

Divisors of 141

List of positive integer divisors of 141 that divides 141 without a remainder.

1, 3, 47, 141

Greatest Common Divisior

We found the divisors of 640, 840, 71, 141 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 640, 840, 71, 141 is 1.

Therefore, GCD of numbers 640, 840, 71, 141 is 1

Given Input Data is 640, 840, 71, 141

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

Prime Factorization of 640 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5

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

Prime Factorization of 71 is 71

Prime Factorization of 141 is 3 x 47

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(640, 840) = 13440

GCD(640, 840) = ( 640 x 840 ) / 13440

GCD(640, 840) = 537600 / 13440

GCD(640, 840) = 40

Step2:

Here we consider the GCD from the above i.e. 40 as first number and the next as 71

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

LCM(40, 71) = 2840

GCD(40, 71) = ( 40 x 71 ) / 2840

GCD(40, 71) = 2840 / 2840

GCD(40, 71) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 141

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

LCM(1, 141) = 141

GCD(1, 141) = ( 1 x 141 ) / 141

GCD(1, 141) = 141 / 141

GCD(1, 141) = 1

GCD of 640, 840, 71, 141 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 830, 187, 57, 460
• GCD of 445, 718, 82, 508
• GCD of 603, 664, 47, 125
• GCD of 124, 378, 32, 417
• GCD of 771, 875, 87, 572

1. What is the GCD of 640, 840, 71, 141?

GCD of 640, 840, 71, 141 is 1

2. Where do I get the detailed procedure to find GCD of 640, 840, 71, 141?

You can find a detailed procedure to find GCD of 640, 840, 71, 141 on our page.

3. How to find GCD of 640, 840, 71, 141 on a calculator?

You can find the GCD of 640, 840, 71, 141 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.