GCD of 102, 740, 548, 960 Calculator

Given Input numbers are 102, 740, 548, 960

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

Divisors of 102

List of positive integer divisors of 102 that divides 102 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102

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 548

List of positive integer divisors of 548 that divides 548 without a remainder.

1, 2, 4, 137, 274, 548

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

Greatest Common Divisior

We found the divisors of 102, 740, 548, 960 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 102, 740, 548, 960 is 2.

Therefore, GCD of numbers 102, 740, 548, 960 is 2

Given Input Data is 102, 740, 548, 960

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

Prime Factorization of 102 is 2 x 3 x 17

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

Prime Factorization of 548 is 2 x 2 x 137

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

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(102, 740) = 37740

GCD(102, 740) = ( 102 x 740 ) / 37740

GCD(102, 740) = 75480 / 37740

GCD(102, 740) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 548

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

LCM(2, 548) = 548

GCD(2, 548) = ( 2 x 548 ) / 548

GCD(2, 548) = 1096 / 548

GCD(2, 548) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 960

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

LCM(2, 960) = 960

GCD(2, 960) = ( 2 x 960 ) / 960

GCD(2, 960) = 1920 / 960

GCD(2, 960) = 2

GCD of 102, 740, 548, 960 is 2

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1. What is the GCD of 102, 740, 548, 960?

GCD of 102, 740, 548, 960 is 2

2. Where do I get the detailed procedure to find GCD of 102, 740, 548, 960?

You can find a detailed procedure to find GCD of 102, 740, 548, 960 on our page.

3. How to find GCD of 102, 740, 548, 960 on a calculator?

You can find the GCD of 102, 740, 548, 960 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.