GCD of 960, 292, 341, 651 Calculator

Given Input numbers are 960, 292, 341, 651

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 292

List of positive integer divisors of 292 that divides 292 without a remainder.

1, 2, 4, 73, 146, 292

Divisors of 341

List of positive integer divisors of 341 that divides 341 without a remainder.

1, 11, 31, 341

Divisors of 651

List of positive integer divisors of 651 that divides 651 without a remainder.

1, 3, 7, 21, 31, 93, 217, 651

Greatest Common Divisior

We found the divisors of 960, 292, 341, 651 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 960, 292, 341, 651 is 1.

Therefore, GCD of numbers 960, 292, 341, 651 is 1

Given Input Data is 960, 292, 341, 651

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 292 is 2 x 2 x 73

Prime Factorization of 341 is 11 x 31

Prime Factorization of 651 is 3 x 7 x 31

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, 292) = 70080

GCD(960, 292) = ( 960 x 292 ) / 70080

GCD(960, 292) = 280320 / 70080

GCD(960, 292) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 341

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

LCM(4, 341) = 1364

GCD(4, 341) = ( 4 x 341 ) / 1364

GCD(4, 341) = 1364 / 1364

GCD(4, 341) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 651

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

LCM(1, 651) = 651

GCD(1, 651) = ( 1 x 651 ) / 651

GCD(1, 651) = 651 / 651

GCD(1, 651) = 1

GCD of 960, 292, 341, 651 is 1

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1. What is the GCD of 960, 292, 341, 651?

GCD of 960, 292, 341, 651 is 1

2. Where do I get the detailed procedure to find GCD of 960, 292, 341, 651?

You can find a detailed procedure to find GCD of 960, 292, 341, 651 on our page.

3. How to find GCD of 960, 292, 341, 651 on a calculator?

You can find the GCD of 960, 292, 341, 651 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.