GCD of 102, 700, 660, 914 Calculator

Given Input numbers are 102, 700, 660, 914

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 700

List of positive integer divisors of 700 that divides 700 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

Divisors of 660

List of positive integer divisors of 660 that divides 660 without a remainder.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

Divisors of 914

List of positive integer divisors of 914 that divides 914 without a remainder.

1, 2, 457, 914

Greatest Common Divisior

We found the divisors of 102, 700, 660, 914 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 102, 700, 660, 914 is 2.

Therefore, GCD of numbers 102, 700, 660, 914 is 2

Given Input Data is 102, 700, 660, 914

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 700 is 2 x 2 x 5 x 5 x 7

Prime Factorization of 660 is 2 x 2 x 3 x 5 x 11

Prime Factorization of 914 is 2 x 457

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, 700) = 35700

GCD(102, 700) = ( 102 x 700 ) / 35700

GCD(102, 700) = 71400 / 35700

GCD(102, 700) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 660

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

LCM(2, 660) = 660

GCD(2, 660) = ( 2 x 660 ) / 660

GCD(2, 660) = 1320 / 660

GCD(2, 660) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 914

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

LCM(2, 914) = 914

GCD(2, 914) = ( 2 x 914 ) / 914

GCD(2, 914) = 1828 / 914

GCD(2, 914) = 2

GCD of 102, 700, 660, 914 is 2

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1. What is the GCD of 102, 700, 660, 914?

GCD of 102, 700, 660, 914 is 2

2. Where do I get the detailed procedure to find GCD of 102, 700, 660, 914?

You can find a detailed procedure to find GCD of 102, 700, 660, 914 on our page.

3. How to find GCD of 102, 700, 660, 914 on a calculator?

You can find the GCD of 102, 700, 660, 914 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.