GCD of 40, 652, 746, 986 Calculator

Given Input numbers are 40, 652, 746, 986

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

Divisors of 40

List of positive integer divisors of 40 that divides 40 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40

Divisors of 652

List of positive integer divisors of 652 that divides 652 without a remainder.

1, 2, 4, 163, 326, 652

Divisors of 746

List of positive integer divisors of 746 that divides 746 without a remainder.

1, 2, 373, 746

Divisors of 986

List of positive integer divisors of 986 that divides 986 without a remainder.

1, 2, 17, 29, 34, 58, 493, 986

Greatest Common Divisior

We found the divisors of 40, 652, 746, 986 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 40, 652, 746, 986 is 2.

Therefore, GCD of numbers 40, 652, 746, 986 is 2

Given Input Data is 40, 652, 746, 986

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

Prime Factorization of 40 is 2 x 2 x 2 x 5

Prime Factorization of 652 is 2 x 2 x 163

Prime Factorization of 746 is 2 x 373

Prime Factorization of 986 is 2 x 17 x 29

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(40, 652) = 6520

GCD(40, 652) = ( 40 x 652 ) / 6520

GCD(40, 652) = 26080 / 6520

GCD(40, 652) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 746

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

LCM(4, 746) = 1492

GCD(4, 746) = ( 4 x 746 ) / 1492

GCD(4, 746) = 2984 / 1492

GCD(4, 746) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 986

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

LCM(2, 986) = 986

GCD(2, 986) = ( 2 x 986 ) / 986

GCD(2, 986) = 1972 / 986

GCD(2, 986) = 2

GCD of 40, 652, 746, 986 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 46, 933, 317, 910
• GCD of 28, 222, 386, 187
• GCD of 29, 494, 189, 414
• GCD of 67, 234, 289, 483
• GCD of 92, 430, 765, 438

1. What is the GCD of 40, 652, 746, 986?

GCD of 40, 652, 746, 986 is 2

2. Where do I get the detailed procedure to find GCD of 40, 652, 746, 986?

You can find a detailed procedure to find GCD of 40, 652, 746, 986 on our page.

3. How to find GCD of 40, 652, 746, 986 on a calculator?

You can find the GCD of 40, 652, 746, 986 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.