GCD of 710, 264, 402, 946 Calculator

Given Input numbers are 710, 264, 402, 946

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

Divisors of 710

List of positive integer divisors of 710 that divides 710 without a remainder.

1, 2, 5, 10, 71, 142, 355, 710

Divisors of 264

List of positive integer divisors of 264 that divides 264 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

Divisors of 402

List of positive integer divisors of 402 that divides 402 without a remainder.

1, 2, 3, 6, 67, 134, 201, 402

Divisors of 946

List of positive integer divisors of 946 that divides 946 without a remainder.

1, 2, 11, 22, 43, 86, 473, 946

Greatest Common Divisior

We found the divisors of 710, 264, 402, 946 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 710, 264, 402, 946 is 2.

Therefore, GCD of numbers 710, 264, 402, 946 is 2

Given Input Data is 710, 264, 402, 946

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

Prime Factorization of 710 is 2 x 5 x 71

Prime Factorization of 264 is 2 x 2 x 2 x 3 x 11

Prime Factorization of 402 is 2 x 3 x 67

Prime Factorization of 946 is 2 x 11 x 43

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(710, 264) = 93720

GCD(710, 264) = ( 710 x 264 ) / 93720

GCD(710, 264) = 187440 / 93720

GCD(710, 264) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 402

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

LCM(2, 402) = 402

GCD(2, 402) = ( 2 x 402 ) / 402

GCD(2, 402) = 804 / 402

GCD(2, 402) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 946

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

LCM(2, 946) = 946

GCD(2, 946) = ( 2 x 946 ) / 946

GCD(2, 946) = 1892 / 946

GCD(2, 946) = 2

GCD of 710, 264, 402, 946 is 2

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1. What is the GCD of 710, 264, 402, 946?

GCD of 710, 264, 402, 946 is 2

2. Where do I get the detailed procedure to find GCD of 710, 264, 402, 946?

You can find a detailed procedure to find GCD of 710, 264, 402, 946 on our page.

3. How to find GCD of 710, 264, 402, 946 on a calculator?

You can find the GCD of 710, 264, 402, 946 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.