GCD of 784, 760, 48, 354 Calculator

Given Input numbers are 784, 760, 48, 354

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

Divisors of 784

List of positive integer divisors of 784 that divides 784 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

Divisors of 760

List of positive integer divisors of 760 that divides 760 without a remainder.

1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

Divisors of 48

List of positive integer divisors of 48 that divides 48 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48

Divisors of 354

List of positive integer divisors of 354 that divides 354 without a remainder.

1, 2, 3, 6, 59, 118, 177, 354

Greatest Common Divisior

We found the divisors of 784, 760, 48, 354 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 784, 760, 48, 354 is 2.

Therefore, GCD of numbers 784, 760, 48, 354 is 2

Given Input Data is 784, 760, 48, 354

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

Prime Factorization of 784 is 2 x 2 x 2 x 2 x 7 x 7

Prime Factorization of 760 is 2 x 2 x 2 x 5 x 19

Prime Factorization of 48 is 2 x 2 x 2 x 2 x 3

Prime Factorization of 354 is 2 x 3 x 59

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(784, 760) = 74480

GCD(784, 760) = ( 784 x 760 ) / 74480

GCD(784, 760) = 595840 / 74480

GCD(784, 760) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 48

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

LCM(8, 48) = 48

GCD(8, 48) = ( 8 x 48 ) / 48

GCD(8, 48) = 384 / 48

GCD(8, 48) = 8

Step3:

Here we consider the GCD from the above i.e. 8 as first number and the next as 354

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

LCM(8, 354) = 1416

GCD(8, 354) = ( 8 x 354 ) / 1416

GCD(8, 354) = 2832 / 1416

GCD(8, 354) = 2

GCD of 784, 760, 48, 354 is 2

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1. What is the GCD of 784, 760, 48, 354?

GCD of 784, 760, 48, 354 is 2

2. Where do I get the detailed procedure to find GCD of 784, 760, 48, 354?

You can find a detailed procedure to find GCD of 784, 760, 48, 354 on our page.

3. How to find GCD of 784, 760, 48, 354 on a calculator?

You can find the GCD of 784, 760, 48, 354 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.