GCD of 704, 480, 70, 692 Calculator

Given Input numbers are 704, 480, 70, 692

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 480

List of positive integer divisors of 480 that divides 480 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

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 692

List of positive integer divisors of 692 that divides 692 without a remainder.

1, 2, 4, 173, 346, 692

Greatest Common Divisior

We found the divisors of 704, 480, 70, 692 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 704, 480, 70, 692 is 2.

Therefore, GCD of numbers 704, 480, 70, 692 is 2

Given Input Data is 704, 480, 70, 692

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 480 is 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 70 is 2 x 5 x 7

Prime Factorization of 692 is 2 x 2 x 173

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(704, 480) = 10560

GCD(704, 480) = ( 704 x 480 ) / 10560

GCD(704, 480) = 337920 / 10560

GCD(704, 480) = 32

Step2:

Here we consider the GCD from the above i.e. 32 as first number and the next as 70

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

LCM(32, 70) = 1120

GCD(32, 70) = ( 32 x 70 ) / 1120

GCD(32, 70) = 2240 / 1120

GCD(32, 70) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 692

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

LCM(2, 692) = 692

GCD(2, 692) = ( 2 x 692 ) / 692

GCD(2, 692) = 1384 / 692

GCD(2, 692) = 2

GCD of 704, 480, 70, 692 is 2

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• GCD of 560, 631, 40, 745
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• GCD of 170, 160, 43, 580

1. What is the GCD of 704, 480, 70, 692?

GCD of 704, 480, 70, 692 is 2

2. Where do I get the detailed procedure to find GCD of 704, 480, 70, 692?

You can find a detailed procedure to find GCD of 704, 480, 70, 692 on our page.

3. How to find GCD of 704, 480, 70, 692 on a calculator?

You can find the GCD of 704, 480, 70, 692 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.