GCD of 762, 744, 920, 374 Calculator

Given Input numbers are 762, 744, 920, 374

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

Divisors of 762

List of positive integer divisors of 762 that divides 762 without a remainder.

1, 2, 3, 6, 127, 254, 381, 762

Divisors of 744

List of positive integer divisors of 744 that divides 744 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

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 374

List of positive integer divisors of 374 that divides 374 without a remainder.

1, 2, 11, 17, 22, 34, 187, 374

Greatest Common Divisior

We found the divisors of 762, 744, 920, 374 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 762, 744, 920, 374 is 2.

Therefore, GCD of numbers 762, 744, 920, 374 is 2

Given Input Data is 762, 744, 920, 374

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

Prime Factorization of 762 is 2 x 3 x 127

Prime Factorization of 744 is 2 x 2 x 2 x 3 x 31

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

Prime Factorization of 374 is 2 x 11 x 17

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(762, 744) = 94488

GCD(762, 744) = ( 762 x 744 ) / 94488

GCD(762, 744) = 566928 / 94488

GCD(762, 744) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 920

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

LCM(6, 920) = 2760

GCD(6, 920) = ( 6 x 920 ) / 2760

GCD(6, 920) = 5520 / 2760

GCD(6, 920) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 374

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

LCM(2, 374) = 374

GCD(2, 374) = ( 2 x 374 ) / 374

GCD(2, 374) = 748 / 374

GCD(2, 374) = 2

GCD of 762, 744, 920, 374 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 900, 138, 877, 756
• GCD of 298, 866, 652, 905
• GCD of 497, 781, 694, 723
• GCD of 123, 430, 908, 582
• GCD of 532, 394, 919, 211

1. What is the GCD of 762, 744, 920, 374?

GCD of 762, 744, 920, 374 is 2

2. Where do I get the detailed procedure to find GCD of 762, 744, 920, 374?

You can find a detailed procedure to find GCD of 762, 744, 920, 374 on our page.

3. How to find GCD of 762, 744, 920, 374 on a calculator?

You can find the GCD of 762, 744, 920, 374 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.