GCD of 920, 942, 898, 135 Calculator

Given Input numbers are 920, 942, 898, 135

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

Divisors of 920

List of positive integer divisors of 920 that divides 920 without a remainder.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

Divisors of 942

List of positive integer divisors of 942 that divides 942 without a remainder.

1, 2, 3, 6, 157, 314, 471, 942

Divisors of 898

List of positive integer divisors of 898 that divides 898 without a remainder.

1, 2, 449, 898

Divisors of 135

List of positive integer divisors of 135 that divides 135 without a remainder.

1, 3, 5, 9, 15, 27, 45, 135

Greatest Common Divisior

We found the divisors of 920, 942, 898, 135 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 920, 942, 898, 135 is 1.

Therefore, GCD of numbers 920, 942, 898, 135 is 1

Given Input Data is 920, 942, 898, 135

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

Prime Factorization of 920 is 2 x 2 x 2 x 5 x 23

Prime Factorization of 942 is 2 x 3 x 157

Prime Factorization of 898 is 2 x 449

Prime Factorization of 135 is 3 x 3 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(920, 942) = 433320

GCD(920, 942) = ( 920 x 942 ) / 433320

GCD(920, 942) = 866640 / 433320

GCD(920, 942) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 898

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

LCM(2, 898) = 898

GCD(2, 898) = ( 2 x 898 ) / 898

GCD(2, 898) = 1796 / 898

GCD(2, 898) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 135

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

LCM(2, 135) = 270

GCD(2, 135) = ( 2 x 135 ) / 270

GCD(2, 135) = 270 / 270

GCD(2, 135) = 1

GCD of 920, 942, 898, 135 is 1

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• GCD of 378, 690, 310, 573
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• GCD of 473, 483, 207, 651

1. What is the GCD of 920, 942, 898, 135?

GCD of 920, 942, 898, 135 is 1

2. Where do I get the detailed procedure to find GCD of 920, 942, 898, 135?

You can find a detailed procedure to find GCD of 920, 942, 898, 135 on our page.

3. How to find GCD of 920, 942, 898, 135 on a calculator?

You can find the GCD of 920, 942, 898, 135 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.