GCD of 142, 916, 200, 770 Calculator

Given Input numbers are 142, 916, 200, 770

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

Divisors of 142

List of positive integer divisors of 142 that divides 142 without a remainder.

1, 2, 71, 142

Divisors of 916

List of positive integer divisors of 916 that divides 916 without a remainder.

1, 2, 4, 229, 458, 916

Divisors of 200

List of positive integer divisors of 200 that divides 200 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

Divisors of 770

List of positive integer divisors of 770 that divides 770 without a remainder.

1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

Greatest Common Divisior

We found the divisors of 142, 916, 200, 770 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 142, 916, 200, 770 is 2.

Therefore, GCD of numbers 142, 916, 200, 770 is 2

Given Input Data is 142, 916, 200, 770

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

Prime Factorization of 142 is 2 x 71

Prime Factorization of 916 is 2 x 2 x 229

Prime Factorization of 200 is 2 x 2 x 2 x 5 x 5

Prime Factorization of 770 is 2 x 5 x 7 x 11

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(142, 916) = 65036

GCD(142, 916) = ( 142 x 916 ) / 65036

GCD(142, 916) = 130072 / 65036

GCD(142, 916) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 200

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

LCM(2, 200) = 200

GCD(2, 200) = ( 2 x 200 ) / 200

GCD(2, 200) = 400 / 200

GCD(2, 200) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 770

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

LCM(2, 770) = 770

GCD(2, 770) = ( 2 x 770 ) / 770

GCD(2, 770) = 1540 / 770

GCD(2, 770) = 2

GCD of 142, 916, 200, 770 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 141, 173, 592, 468
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• GCD of 879, 355, 535, 567

1. What is the GCD of 142, 916, 200, 770?

GCD of 142, 916, 200, 770 is 2

2. Where do I get the detailed procedure to find GCD of 142, 916, 200, 770?

You can find a detailed procedure to find GCD of 142, 916, 200, 770 on our page.

3. How to find GCD of 142, 916, 200, 770 on a calculator?

You can find the GCD of 142, 916, 200, 770 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.