GCD of 766, 942, 64, 754 Calculator

Given Input numbers are 766, 942, 64, 754

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

Divisors of 766

List of positive integer divisors of 766 that divides 766 without a remainder.

1, 2, 383, 766

Divisors of 942

List of positive integer divisors of 942 that divides 942 without a remainder.

1, 2, 3, 6, 157, 314, 471, 942

Divisors of 64

List of positive integer divisors of 64 that divides 64 without a remainder.

1, 2, 4, 8, 16, 32, 64

Divisors of 754

List of positive integer divisors of 754 that divides 754 without a remainder.

1, 2, 13, 26, 29, 58, 377, 754

Greatest Common Divisior

We found the divisors of 766, 942, 64, 754 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 766, 942, 64, 754 is 2.

Therefore, GCD of numbers 766, 942, 64, 754 is 2

Given Input Data is 766, 942, 64, 754

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

Prime Factorization of 766 is 2 x 383

Prime Factorization of 942 is 2 x 3 x 157

Prime Factorization of 64 is 2 x 2 x 2 x 2 x 2 x 2

Prime Factorization of 754 is 2 x 13 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(766, 942) = 360786

GCD(766, 942) = ( 766 x 942 ) / 360786

GCD(766, 942) = 721572 / 360786

GCD(766, 942) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 64

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

LCM(2, 64) = 64

GCD(2, 64) = ( 2 x 64 ) / 64

GCD(2, 64) = 128 / 64

GCD(2, 64) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 754

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

LCM(2, 754) = 754

GCD(2, 754) = ( 2 x 754 ) / 754

GCD(2, 754) = 1508 / 754

GCD(2, 754) = 2

GCD of 766, 942, 64, 754 is 2

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1. What is the GCD of 766, 942, 64, 754?

GCD of 766, 942, 64, 754 is 2

2. Where do I get the detailed procedure to find GCD of 766, 942, 64, 754?

You can find a detailed procedure to find GCD of 766, 942, 64, 754 on our page.

3. How to find GCD of 766, 942, 64, 754 on a calculator?

You can find the GCD of 766, 942, 64, 754 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.