GCD of 748, 783, 461, 157 Calculator

Given Input numbers are 748, 783, 461, 157

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

Divisors of 748

List of positive integer divisors of 748 that divides 748 without a remainder.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Divisors of 783

List of positive integer divisors of 783 that divides 783 without a remainder.

1, 3, 9, 27, 29, 87, 261, 783

Divisors of 461

List of positive integer divisors of 461 that divides 461 without a remainder.

1, 461

Divisors of 157

List of positive integer divisors of 157 that divides 157 without a remainder.

1, 157

Greatest Common Divisior

We found the divisors of 748, 783, 461, 157 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 748, 783, 461, 157 is 1.

Therefore, GCD of numbers 748, 783, 461, 157 is 1

Given Input Data is 748, 783, 461, 157

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

Prime Factorization of 748 is 2 x 2 x 11 x 17

Prime Factorization of 783 is 3 x 3 x 3 x 29

Prime Factorization of 461 is 461

Prime Factorization of 157 is 157

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(748, 783) = 585684

GCD(748, 783) = ( 748 x 783 ) / 585684

GCD(748, 783) = 585684 / 585684

GCD(748, 783) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 461

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

LCM(1, 461) = 461

GCD(1, 461) = ( 1 x 461 ) / 461

GCD(1, 461) = 461 / 461

GCD(1, 461) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 157

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

LCM(1, 157) = 157

GCD(1, 157) = ( 1 x 157 ) / 157

GCD(1, 157) = 157 / 157

GCD(1, 157) = 1

GCD of 748, 783, 461, 157 is 1

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• GCD of 611, 951, 387, 519
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1. What is the GCD of 748, 783, 461, 157?

GCD of 748, 783, 461, 157 is 1

2. Where do I get the detailed procedure to find GCD of 748, 783, 461, 157?

You can find a detailed procedure to find GCD of 748, 783, 461, 157 on our page.

3. How to find GCD of 748, 783, 461, 157 on a calculator?

You can find the GCD of 748, 783, 461, 157 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.