GCD of 898, 700, 76, 141 Calculator

Given Input numbers are 898, 700, 76, 141

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

Divisors of 898

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

1, 2, 449, 898

Divisors of 700

List of positive integer divisors of 700 that divides 700 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

Divisors of 76

List of positive integer divisors of 76 that divides 76 without a remainder.

1, 2, 4, 19, 38, 76

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 898, 700, 76, 141 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 898, 700, 76, 141 is 1.

Therefore, GCD of numbers 898, 700, 76, 141 is 1

Given Input Data is 898, 700, 76, 141

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

Prime Factorization of 898 is 2 x 449

Prime Factorization of 700 is 2 x 2 x 5 x 5 x 7

Prime Factorization of 76 is 2 x 2 x 19

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(898, 700) = 314300

GCD(898, 700) = ( 898 x 700 ) / 314300

GCD(898, 700) = 628600 / 314300

GCD(898, 700) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 76

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

LCM(2, 76) = 76

GCD(2, 76) = ( 2 x 76 ) / 76

GCD(2, 76) = 152 / 76

GCD(2, 76) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 141

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

LCM(2, 141) = 282

GCD(2, 141) = ( 2 x 141 ) / 282

GCD(2, 141) = 282 / 282

GCD(2, 141) = 1

GCD of 898, 700, 76, 141 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 605, 223, 40, 910
• GCD of 415, 183, 87, 239
• GCD of 101, 952, 47, 597
• GCD of 372, 297, 48, 825
• GCD of 519, 681, 64, 452

1. What is the GCD of 898, 700, 76, 141?

GCD of 898, 700, 76, 141 is 1

2. Where do I get the detailed procedure to find GCD of 898, 700, 76, 141?

You can find a detailed procedure to find GCD of 898, 700, 76, 141 on our page.

3. How to find GCD of 898, 700, 76, 141 on a calculator?

You can find the GCD of 898, 700, 76, 141 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.