GCD of 140, 378, 840, 535 Calculator

Given Input numbers are 140, 378, 840, 535

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

Divisors of 140

List of positive integer divisors of 140 that divides 140 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

Divisors of 378

List of positive integer divisors of 378 that divides 378 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

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 535

List of positive integer divisors of 535 that divides 535 without a remainder.

1, 5, 107, 535

Greatest Common Divisior

We found the divisors of 140, 378, 840, 535 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 140, 378, 840, 535 is 1.

Therefore, GCD of numbers 140, 378, 840, 535 is 1

Given Input Data is 140, 378, 840, 535

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

Prime Factorization of 140 is 2 x 2 x 5 x 7

Prime Factorization of 378 is 2 x 3 x 3 x 3 x 7

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

Prime Factorization of 535 is 5 x 107

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(140, 378) = 3780

GCD(140, 378) = ( 140 x 378 ) / 3780

GCD(140, 378) = 52920 / 3780

GCD(140, 378) = 14

Step2:

Here we consider the GCD from the above i.e. 14 as first number and the next as 840

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

LCM(14, 840) = 840

GCD(14, 840) = ( 14 x 840 ) / 840

GCD(14, 840) = 11760 / 840

GCD(14, 840) = 14

Step3:

Here we consider the GCD from the above i.e. 14 as first number and the next as 535

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

LCM(14, 535) = 7490

GCD(14, 535) = ( 14 x 535 ) / 7490

GCD(14, 535) = 7490 / 7490

GCD(14, 535) = 1

GCD of 140, 378, 840, 535 is 1

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1. What is the GCD of 140, 378, 840, 535?

GCD of 140, 378, 840, 535 is 1

2. Where do I get the detailed procedure to find GCD of 140, 378, 840, 535?

You can find a detailed procedure to find GCD of 140, 378, 840, 535 on our page.

3. How to find GCD of 140, 378, 840, 535 on a calculator?

You can find the GCD of 140, 378, 840, 535 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.