GCD of 291, 870, 747, 786 Calculator

Given Input numbers are 291, 870, 747, 786

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

Divisors of 291

List of positive integer divisors of 291 that divides 291 without a remainder.

1, 3, 97, 291

Divisors of 870

List of positive integer divisors of 870 that divides 870 without a remainder.

1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

Divisors of 747

List of positive integer divisors of 747 that divides 747 without a remainder.

1, 3, 9, 83, 249, 747

Divisors of 786

List of positive integer divisors of 786 that divides 786 without a remainder.

1, 2, 3, 6, 131, 262, 393, 786

Greatest Common Divisior

We found the divisors of 291, 870, 747, 786 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 291, 870, 747, 786 is 3.

Therefore, GCD of numbers 291, 870, 747, 786 is 3

Given Input Data is 291, 870, 747, 786

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

Prime Factorization of 291 is 3 x 97

Prime Factorization of 870 is 2 x 3 x 5 x 29

Prime Factorization of 747 is 3 x 3 x 83

Prime Factorization of 786 is 2 x 3 x 131

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(291, 870) = 84390

GCD(291, 870) = ( 291 x 870 ) / 84390

GCD(291, 870) = 253170 / 84390

GCD(291, 870) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 747

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

LCM(3, 747) = 747

GCD(3, 747) = ( 3 x 747 ) / 747

GCD(3, 747) = 2241 / 747

GCD(3, 747) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 786

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

LCM(3, 786) = 786

GCD(3, 786) = ( 3 x 786 ) / 786

GCD(3, 786) = 2358 / 786

GCD(3, 786) = 3

GCD of 291, 870, 747, 786 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 518, 970, 174, 570
• GCD of 522, 823, 555, 316
• GCD of 399, 954, 823, 368
• GCD of 316, 104, 431, 575
• GCD of 355, 697, 743, 578

1. What is the GCD of 291, 870, 747, 786?

GCD of 291, 870, 747, 786 is 3

2. Where do I get the detailed procedure to find GCD of 291, 870, 747, 786?

You can find a detailed procedure to find GCD of 291, 870, 747, 786 on our page.

3. How to find GCD of 291, 870, 747, 786 on a calculator?

You can find the GCD of 291, 870, 747, 786 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.