GCD of 706, 588, 70, 948 Calculator

Given Input numbers are 706, 588, 70, 948

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

Divisors of 706

List of positive integer divisors of 706 that divides 706 without a remainder.

1, 2, 353, 706

Divisors of 588

List of positive integer divisors of 588 that divides 588 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

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 948

List of positive integer divisors of 948 that divides 948 without a remainder.

1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948

Greatest Common Divisior

We found the divisors of 706, 588, 70, 948 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 706, 588, 70, 948 is 2.

Therefore, GCD of numbers 706, 588, 70, 948 is 2

Given Input Data is 706, 588, 70, 948

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

Prime Factorization of 706 is 2 x 353

Prime Factorization of 588 is 2 x 2 x 3 x 7 x 7

Prime Factorization of 70 is 2 x 5 x 7

Prime Factorization of 948 is 2 x 2 x 3 x 79

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(706, 588) = 207564

GCD(706, 588) = ( 706 x 588 ) / 207564

GCD(706, 588) = 415128 / 207564

GCD(706, 588) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 70

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

LCM(2, 70) = 70

GCD(2, 70) = ( 2 x 70 ) / 70

GCD(2, 70) = 140 / 70

GCD(2, 70) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 948

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

LCM(2, 948) = 948

GCD(2, 948) = ( 2 x 948 ) / 948

GCD(2, 948) = 1896 / 948

GCD(2, 948) = 2

GCD of 706, 588, 70, 948 is 2

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1. What is the GCD of 706, 588, 70, 948?

GCD of 706, 588, 70, 948 is 2

2. Where do I get the detailed procedure to find GCD of 706, 588, 70, 948?

You can find a detailed procedure to find GCD of 706, 588, 70, 948 on our page.

3. How to find GCD of 706, 588, 70, 948 on a calculator?

You can find the GCD of 706, 588, 70, 948 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.