GCD of 456, 978, 160, 735 Calculator

Given Input numbers are 456, 978, 160, 735

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

Divisors of 456

List of positive integer divisors of 456 that divides 456 without a remainder.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

Divisors of 978

List of positive integer divisors of 978 that divides 978 without a remainder.

1, 2, 3, 6, 163, 326, 489, 978

Divisors of 160

List of positive integer divisors of 160 that divides 160 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

Divisors of 735

List of positive integer divisors of 735 that divides 735 without a remainder.

1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

Greatest Common Divisior

We found the divisors of 456, 978, 160, 735 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 456, 978, 160, 735 is 1.

Therefore, GCD of numbers 456, 978, 160, 735 is 1

Given Input Data is 456, 978, 160, 735

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

Prime Factorization of 456 is 2 x 2 x 2 x 3 x 19

Prime Factorization of 978 is 2 x 3 x 163

Prime Factorization of 160 is 2 x 2 x 2 x 2 x 2 x 5

Prime Factorization of 735 is 3 x 5 x 7 x 7

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(456, 978) = 74328

GCD(456, 978) = ( 456 x 978 ) / 74328

GCD(456, 978) = 445968 / 74328

GCD(456, 978) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 160

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

LCM(6, 160) = 480

GCD(6, 160) = ( 6 x 160 ) / 480

GCD(6, 160) = 960 / 480

GCD(6, 160) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 735

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

LCM(2, 735) = 1470

GCD(2, 735) = ( 2 x 735 ) / 1470

GCD(2, 735) = 1470 / 1470

GCD(2, 735) = 1

GCD of 456, 978, 160, 735 is 1

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1. What is the GCD of 456, 978, 160, 735?

GCD of 456, 978, 160, 735 is 1

2. Where do I get the detailed procedure to find GCD of 456, 978, 160, 735?

You can find a detailed procedure to find GCD of 456, 978, 160, 735 on our page.

3. How to find GCD of 456, 978, 160, 735 on a calculator?

You can find the GCD of 456, 978, 160, 735 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.