GCD of 70, 890, 968, 626 Calculator

Given Input numbers are 70, 890, 968, 626

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

Divisors of 70

List of positive integer divisors of 70 that divides 70 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70

Divisors of 890

List of positive integer divisors of 890 that divides 890 without a remainder.

1, 2, 5, 10, 89, 178, 445, 890

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 626

List of positive integer divisors of 626 that divides 626 without a remainder.

1, 2, 313, 626

Greatest Common Divisior

We found the divisors of 70, 890, 968, 626 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 70, 890, 968, 626 is 2.

Therefore, GCD of numbers 70, 890, 968, 626 is 2

Given Input Data is 70, 890, 968, 626

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

Prime Factorization of 70 is 2 x 5 x 7

Prime Factorization of 890 is 2 x 5 x 89

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

Prime Factorization of 626 is 2 x 313

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(70, 890) = 6230

GCD(70, 890) = ( 70 x 890 ) / 6230

GCD(70, 890) = 62300 / 6230

GCD(70, 890) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 968

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

LCM(10, 968) = 4840

GCD(10, 968) = ( 10 x 968 ) / 4840

GCD(10, 968) = 9680 / 4840

GCD(10, 968) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 626

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

LCM(2, 626) = 626

GCD(2, 626) = ( 2 x 626 ) / 626

GCD(2, 626) = 1252 / 626

GCD(2, 626) = 2

GCD of 70, 890, 968, 626 is 2

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1. What is the GCD of 70, 890, 968, 626?

GCD of 70, 890, 968, 626 is 2

2. Where do I get the detailed procedure to find GCD of 70, 890, 968, 626?

You can find a detailed procedure to find GCD of 70, 890, 968, 626 on our page.

3. How to find GCD of 70, 890, 968, 626 on a calculator?

You can find the GCD of 70, 890, 968, 626 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.