GCD of 960, 746, 461, 359 Calculator

Given Input numbers are 960, 746, 461, 359

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

Divisors of 960

List of positive integer divisors of 960 that divides 960 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

Divisors of 746

List of positive integer divisors of 746 that divides 746 without a remainder.

1, 2, 373, 746

Divisors of 461

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

1, 461

Divisors of 359

List of positive integer divisors of 359 that divides 359 without a remainder.

1, 359

Greatest Common Divisior

We found the divisors of 960, 746, 461, 359 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 960, 746, 461, 359 is 1.

Therefore, GCD of numbers 960, 746, 461, 359 is 1

Given Input Data is 960, 746, 461, 359

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

Prime Factorization of 960 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 746 is 2 x 373

Prime Factorization of 461 is 461

Prime Factorization of 359 is 359

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(960, 746) = 358080

GCD(960, 746) = ( 960 x 746 ) / 358080

GCD(960, 746) = 716160 / 358080

GCD(960, 746) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 461

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

LCM(2, 461) = 922

GCD(2, 461) = ( 2 x 461 ) / 922

GCD(2, 461) = 922 / 922

GCD(2, 461) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 359

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

LCM(1, 359) = 359

GCD(1, 359) = ( 1 x 359 ) / 359

GCD(1, 359) = 359 / 359

GCD(1, 359) = 1

GCD of 960, 746, 461, 359 is 1

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• GCD of 890, 317, 625, 361
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1. What is the GCD of 960, 746, 461, 359?

GCD of 960, 746, 461, 359 is 1

2. Where do I get the detailed procedure to find GCD of 960, 746, 461, 359?

You can find a detailed procedure to find GCD of 960, 746, 461, 359 on our page.

3. How to find GCD of 960, 746, 461, 359 on a calculator?

You can find the GCD of 960, 746, 461, 359 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.