GCD of 174, 968, 740, 870 Calculator

Given Input numbers are 174, 968, 740, 870

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

Divisors of 174

List of positive integer divisors of 174 that divides 174 without a remainder.

1, 2, 3, 6, 29, 58, 87, 174

Divisors of 968

List of positive integer divisors of 968 that divides 968 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

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 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

Greatest Common Divisior

We found the divisors of 174, 968, 740, 870 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 174, 968, 740, 870 is 2.

Therefore, GCD of numbers 174, 968, 740, 870 is 2

Given Input Data is 174, 968, 740, 870

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

Prime Factorization of 174 is 2 x 3 x 29

Prime Factorization of 968 is 2 x 2 x 2 x 11 x 11

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

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

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(174, 968) = 84216

GCD(174, 968) = ( 174 x 968 ) / 84216

GCD(174, 968) = 168432 / 84216

GCD(174, 968) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 740

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

LCM(2, 740) = 740

GCD(2, 740) = ( 2 x 740 ) / 740

GCD(2, 740) = 1480 / 740

GCD(2, 740) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 870

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

LCM(2, 870) = 870

GCD(2, 870) = ( 2 x 870 ) / 870

GCD(2, 870) = 1740 / 870

GCD(2, 870) = 2

GCD of 174, 968, 740, 870 is 2

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1. What is the GCD of 174, 968, 740, 870?

GCD of 174, 968, 740, 870 is 2

2. Where do I get the detailed procedure to find GCD of 174, 968, 740, 870?

You can find a detailed procedure to find GCD of 174, 968, 740, 870 on our page.

3. How to find GCD of 174, 968, 740, 870 on a calculator?

You can find the GCD of 174, 968, 740, 870 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.