GCD of 146, 962, 264, 780 Calculator

Given Input numbers are 146, 962, 264, 780

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

Divisors of 146

List of positive integer divisors of 146 that divides 146 without a remainder.

1, 2, 73, 146

Divisors of 962

List of positive integer divisors of 962 that divides 962 without a remainder.

1, 2, 13, 26, 37, 74, 481, 962

Divisors of 264

List of positive integer divisors of 264 that divides 264 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

Divisors of 780

List of positive integer divisors of 780 that divides 780 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

Greatest Common Divisior

We found the divisors of 146, 962, 264, 780 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 146, 962, 264, 780 is 2.

Therefore, GCD of numbers 146, 962, 264, 780 is 2

Given Input Data is 146, 962, 264, 780

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

Prime Factorization of 146 is 2 x 73

Prime Factorization of 962 is 2 x 13 x 37

Prime Factorization of 264 is 2 x 2 x 2 x 3 x 11

Prime Factorization of 780 is 2 x 2 x 3 x 5 x 13

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(146, 962) = 70226

GCD(146, 962) = ( 146 x 962 ) / 70226

GCD(146, 962) = 140452 / 70226

GCD(146, 962) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 264

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

LCM(2, 264) = 264

GCD(2, 264) = ( 2 x 264 ) / 264

GCD(2, 264) = 528 / 264

GCD(2, 264) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 780

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

LCM(2, 780) = 780

GCD(2, 780) = ( 2 x 780 ) / 780

GCD(2, 780) = 1560 / 780

GCD(2, 780) = 2

GCD of 146, 962, 264, 780 is 2

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1. What is the GCD of 146, 962, 264, 780?

GCD of 146, 962, 264, 780 is 2

2. Where do I get the detailed procedure to find GCD of 146, 962, 264, 780?

You can find a detailed procedure to find GCD of 146, 962, 264, 780 on our page.

3. How to find GCD of 146, 962, 264, 780 on a calculator?

You can find the GCD of 146, 962, 264, 780 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.