GCD of 745, 298, 454, 952 Calculator

Given Input numbers are 745, 298, 454, 952

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

Divisors of 745

List of positive integer divisors of 745 that divides 745 without a remainder.

1, 5, 149, 745

Divisors of 298

List of positive integer divisors of 298 that divides 298 without a remainder.

1, 2, 149, 298

Divisors of 454

List of positive integer divisors of 454 that divides 454 without a remainder.

1, 2, 227, 454

Divisors of 952

List of positive integer divisors of 952 that divides 952 without a remainder.

1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952

Greatest Common Divisior

We found the divisors of 745, 298, 454, 952 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 745, 298, 454, 952 is 1.

Therefore, GCD of numbers 745, 298, 454, 952 is 1

Given Input Data is 745, 298, 454, 952

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

Prime Factorization of 745 is 5 x 149

Prime Factorization of 298 is 2 x 149

Prime Factorization of 454 is 2 x 227

Prime Factorization of 952 is 2 x 2 x 2 x 7 x 17

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(745, 298) = 1490

GCD(745, 298) = ( 745 x 298 ) / 1490

GCD(745, 298) = 222010 / 1490

GCD(745, 298) = 149

Step2:

Here we consider the GCD from the above i.e. 149 as first number and the next as 454

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

LCM(149, 454) = 67646

GCD(149, 454) = ( 149 x 454 ) / 67646

GCD(149, 454) = 67646 / 67646

GCD(149, 454) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 952

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

LCM(1, 952) = 952

GCD(1, 952) = ( 1 x 952 ) / 952

GCD(1, 952) = 952 / 952

GCD(1, 952) = 1

GCD of 745, 298, 454, 952 is 1

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1. What is the GCD of 745, 298, 454, 952?

GCD of 745, 298, 454, 952 is 1

2. Where do I get the detailed procedure to find GCD of 745, 298, 454, 952?

You can find a detailed procedure to find GCD of 745, 298, 454, 952 on our page.

3. How to find GCD of 745, 298, 454, 952 on a calculator?

You can find the GCD of 745, 298, 454, 952 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.