GCD of 956, 910, 670, 738 Calculator

Given Input numbers are 956, 910, 670, 738

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

Divisors of 956

List of positive integer divisors of 956 that divides 956 without a remainder.

1, 2, 4, 239, 478, 956

Divisors of 910

List of positive integer divisors of 910 that divides 910 without a remainder.

1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910

Divisors of 670

List of positive integer divisors of 670 that divides 670 without a remainder.

1, 2, 5, 10, 67, 134, 335, 670

Divisors of 738

List of positive integer divisors of 738 that divides 738 without a remainder.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Greatest Common Divisior

We found the divisors of 956, 910, 670, 738 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 956, 910, 670, 738 is 2.

Therefore, GCD of numbers 956, 910, 670, 738 is 2

Given Input Data is 956, 910, 670, 738

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

Prime Factorization of 956 is 2 x 2 x 239

Prime Factorization of 910 is 2 x 5 x 7 x 13

Prime Factorization of 670 is 2 x 5 x 67

Prime Factorization of 738 is 2 x 3 x 3 x 41

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(956, 910) = 434980

GCD(956, 910) = ( 956 x 910 ) / 434980

GCD(956, 910) = 869960 / 434980

GCD(956, 910) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 670

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

LCM(2, 670) = 670

GCD(2, 670) = ( 2 x 670 ) / 670

GCD(2, 670) = 1340 / 670

GCD(2, 670) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 738

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

LCM(2, 738) = 738

GCD(2, 738) = ( 2 x 738 ) / 738

GCD(2, 738) = 1476 / 738

GCD(2, 738) = 2

GCD of 956, 910, 670, 738 is 2

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• GCD of 106, 236, 985, 769
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1. What is the GCD of 956, 910, 670, 738?

GCD of 956, 910, 670, 738 is 2

2. Where do I get the detailed procedure to find GCD of 956, 910, 670, 738?

You can find a detailed procedure to find GCD of 956, 910, 670, 738 on our page.

3. How to find GCD of 956, 910, 670, 738 on a calculator?

You can find the GCD of 956, 910, 670, 738 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.