GCD of 970, 890, 90, 776 Calculator

Given Input numbers are 970, 890, 90, 776

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

Divisors of 970

List of positive integer divisors of 970 that divides 970 without a remainder.

1, 2, 5, 10, 97, 194, 485, 970

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 90

List of positive integer divisors of 90 that divides 90 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

Divisors of 776

List of positive integer divisors of 776 that divides 776 without a remainder.

1, 2, 4, 8, 97, 194, 388, 776

Greatest Common Divisior

We found the divisors of 970, 890, 90, 776 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 970, 890, 90, 776 is 2.

Therefore, GCD of numbers 970, 890, 90, 776 is 2

Given Input Data is 970, 890, 90, 776

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

Prime Factorization of 970 is 2 x 5 x 97

Prime Factorization of 890 is 2 x 5 x 89

Prime Factorization of 90 is 2 x 3 x 3 x 5

Prime Factorization of 776 is 2 x 2 x 2 x 97

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(970, 890) = 86330

GCD(970, 890) = ( 970 x 890 ) / 86330

GCD(970, 890) = 863300 / 86330

GCD(970, 890) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 90

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

LCM(10, 90) = 90

GCD(10, 90) = ( 10 x 90 ) / 90

GCD(10, 90) = 900 / 90

GCD(10, 90) = 10

Step3:

Here we consider the GCD from the above i.e. 10 as first number and the next as 776

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

LCM(10, 776) = 3880

GCD(10, 776) = ( 10 x 776 ) / 3880

GCD(10, 776) = 7760 / 3880

GCD(10, 776) = 2

GCD of 970, 890, 90, 776 is 2

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• GCD of 908, 814, 28, 672

1. What is the GCD of 970, 890, 90, 776?

GCD of 970, 890, 90, 776 is 2

2. Where do I get the detailed procedure to find GCD of 970, 890, 90, 776?

You can find a detailed procedure to find GCD of 970, 890, 90, 776 on our page.

3. How to find GCD of 970, 890, 90, 776 on a calculator?

You can find the GCD of 970, 890, 90, 776 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.