GCD of 756, 354, 98, 467 Calculator

Given Input numbers are 756, 354, 98, 467

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

Divisors of 756

List of positive integer divisors of 756 that divides 756 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

Divisors of 354

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

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

Divisors of 98

List of positive integer divisors of 98 that divides 98 without a remainder.

1, 2, 7, 14, 49, 98

Divisors of 467

List of positive integer divisors of 467 that divides 467 without a remainder.

1, 467

Greatest Common Divisior

We found the divisors of 756, 354, 98, 467 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 756, 354, 98, 467 is 1.

Therefore, GCD of numbers 756, 354, 98, 467 is 1

Given Input Data is 756, 354, 98, 467

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

Prime Factorization of 756 is 2 x 2 x 3 x 3 x 3 x 7

Prime Factorization of 354 is 2 x 3 x 59

Prime Factorization of 98 is 2 x 7 x 7

Prime Factorization of 467 is 467

The above numbers do not have any common prime factor. So GCD is 1

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(756, 354) = 44604

GCD(756, 354) = ( 756 x 354 ) / 44604

GCD(756, 354) = 267624 / 44604

GCD(756, 354) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 98

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

LCM(6, 98) = 294

GCD(6, 98) = ( 6 x 98 ) / 294

GCD(6, 98) = 588 / 294

GCD(6, 98) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 467

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

LCM(2, 467) = 934

GCD(2, 467) = ( 2 x 467 ) / 934

GCD(2, 467) = 934 / 934

GCD(2, 467) = 1

GCD of 756, 354, 98, 467 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 687, 463, 29, 509
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• GCD of 392, 548, 50, 325
• GCD of 901, 198, 37, 525

1. What is the GCD of 756, 354, 98, 467?

GCD of 756, 354, 98, 467 is 1

2. Where do I get the detailed procedure to find GCD of 756, 354, 98, 467?

You can find a detailed procedure to find GCD of 756, 354, 98, 467 on our page.

3. How to find GCD of 756, 354, 98, 467 on a calculator?

You can find the GCD of 756, 354, 98, 467 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.