GCD of 967, 360, 740, 649 Calculator

Given Input numbers are 967, 360, 740, 649

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

Divisors of 967

List of positive integer divisors of 967 that divides 967 without a remainder.

1, 967

Divisors of 360

List of positive integer divisors of 360 that divides 360 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 740

List of positive integer divisors of 740 that divides 740 without a remainder.

1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

Divisors of 649

List of positive integer divisors of 649 that divides 649 without a remainder.

1, 11, 59, 649

Greatest Common Divisior

We found the divisors of 967, 360, 740, 649 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 967, 360, 740, 649 is 1.

Therefore, GCD of numbers 967, 360, 740, 649 is 1

Given Input Data is 967, 360, 740, 649

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

Prime Factorization of 967 is 967

Prime Factorization of 360 is 2 x 2 x 2 x 3 x 3 x 5

Prime Factorization of 740 is 2 x 2 x 5 x 37

Prime Factorization of 649 is 11 x 59

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(967, 360) = 348120

GCD(967, 360) = ( 967 x 360 ) / 348120

GCD(967, 360) = 348120 / 348120

GCD(967, 360) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 740

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

LCM(1, 740) = 740

GCD(1, 740) = ( 1 x 740 ) / 740

GCD(1, 740) = 740 / 740

GCD(1, 740) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 649

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

LCM(1, 649) = 649

GCD(1, 649) = ( 1 x 649 ) / 649

GCD(1, 649) = 649 / 649

GCD(1, 649) = 1

GCD of 967, 360, 740, 649 is 1

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1. What is the GCD of 967, 360, 740, 649?

GCD of 967, 360, 740, 649 is 1

2. Where do I get the detailed procedure to find GCD of 967, 360, 740, 649?

You can find a detailed procedure to find GCD of 967, 360, 740, 649 on our page.

3. How to find GCD of 967, 360, 740, 649 on a calculator?

You can find the GCD of 967, 360, 740, 649 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.