GCD of 704, 947, 70, 138 Calculator

Given Input numbers are 704, 947, 70, 138

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

Divisors of 704

List of positive integer divisors of 704 that divides 704 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

Divisors of 947

List of positive integer divisors of 947 that divides 947 without a remainder.

1, 947

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 138

List of positive integer divisors of 138 that divides 138 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138

Greatest Common Divisior

We found the divisors of 704, 947, 70, 138 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 704, 947, 70, 138 is 1.

Therefore, GCD of numbers 704, 947, 70, 138 is 1

Given Input Data is 704, 947, 70, 138

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

Prime Factorization of 704 is 2 x 2 x 2 x 2 x 2 x 2 x 11

Prime Factorization of 947 is 947

Prime Factorization of 70 is 2 x 5 x 7

Prime Factorization of 138 is 2 x 3 x 23

The above numbers do not have any common prime factor. So GCD is 1

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(704, 947) = 666688

GCD(704, 947) = ( 704 x 947 ) / 666688

GCD(704, 947) = 666688 / 666688

GCD(704, 947) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 70

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

LCM(1, 70) = 70

GCD(1, 70) = ( 1 x 70 ) / 70

GCD(1, 70) = 70 / 70

GCD(1, 70) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 138

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

LCM(1, 138) = 138

GCD(1, 138) = ( 1 x 138 ) / 138

GCD(1, 138) = 138 / 138

GCD(1, 138) = 1

GCD of 704, 947, 70, 138 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 933, 974, 17, 403
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• GCD of 549, 682, 22, 798
• GCD of 626, 704, 97, 497
• GCD of 289, 434, 84, 337

1. What is the GCD of 704, 947, 70, 138?

GCD of 704, 947, 70, 138 is 1

2. Where do I get the detailed procedure to find GCD of 704, 947, 70, 138?

You can find a detailed procedure to find GCD of 704, 947, 70, 138 on our page.

3. How to find GCD of 704, 947, 70, 138 on a calculator?

You can find the GCD of 704, 947, 70, 138 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.