GCD of 870, 984, 60, 714 Calculator

Given Input numbers are 870, 984, 60, 714

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

Divisors of 870

List of positive integer divisors of 870 that divides 870 without a remainder.

1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

Divisors of 984

List of positive integer divisors of 984 that divides 984 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

Divisors of 60

List of positive integer divisors of 60 that divides 60 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

Divisors of 714

List of positive integer divisors of 714 that divides 714 without a remainder.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

Greatest Common Divisior

We found the divisors of 870, 984, 60, 714 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 870, 984, 60, 714 is 6.

Therefore, GCD of numbers 870, 984, 60, 714 is 6

Given Input Data is 870, 984, 60, 714

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

Prime Factorization of 870 is 2 x 3 x 5 x 29

Prime Factorization of 984 is 2 x 2 x 2 x 3 x 41

Prime Factorization of 60 is 2 x 2 x 3 x 5

Prime Factorization of 714 is 2 x 3 x 7 x 17

Highest common occurrences in the given inputs are 2¹ x 3¹

Multiplying them we get the GCD as 6

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(870, 984) = 142680

GCD(870, 984) = ( 870 x 984 ) / 142680

GCD(870, 984) = 856080 / 142680

GCD(870, 984) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 60

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

LCM(6, 60) = 60

GCD(6, 60) = ( 6 x 60 ) / 60

GCD(6, 60) = 360 / 60

GCD(6, 60) = 6

Step3:

Here we consider the GCD from the above i.e. 6 as first number and the next as 714

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

LCM(6, 714) = 714

GCD(6, 714) = ( 6 x 714 ) / 714

GCD(6, 714) = 4284 / 714

GCD(6, 714) = 6

GCD of 870, 984, 60, 714 is 6

Here are some samples of GCD of Numbers calculations.

• GCD of 964, 867, 95, 827
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• GCD of 412, 384, 44, 670

1. What is the GCD of 870, 984, 60, 714?

GCD of 870, 984, 60, 714 is 6

2. Where do I get the detailed procedure to find GCD of 870, 984, 60, 714?

You can find a detailed procedure to find GCD of 870, 984, 60, 714 on our page.

3. How to find GCD of 870, 984, 60, 714 on a calculator?

You can find the GCD of 870, 984, 60, 714 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.