GCD of 557, 703, 70, 120 Calculator

Given Input numbers are 557, 703, 70, 120

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

Divisors of 557

List of positive integer divisors of 557 that divides 557 without a remainder.

1, 557

Divisors of 703

List of positive integer divisors of 703 that divides 703 without a remainder.

1, 19, 37, 703

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 120

List of positive integer divisors of 120 that divides 120 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Greatest Common Divisior

We found the divisors of 557, 703, 70, 120 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 557, 703, 70, 120 is 1.

Therefore, GCD of numbers 557, 703, 70, 120 is 1

Given Input Data is 557, 703, 70, 120

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

Prime Factorization of 557 is 557

Prime Factorization of 703 is 19 x 37

Prime Factorization of 70 is 2 x 5 x 7

Prime Factorization of 120 is 2 x 2 x 2 x 3 x 5

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(557, 703) = 391571

GCD(557, 703) = ( 557 x 703 ) / 391571

GCD(557, 703) = 391571 / 391571

GCD(557, 703) = 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 120

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

LCM(1, 120) = 120

GCD(1, 120) = ( 1 x 120 ) / 120

GCD(1, 120) = 120 / 120

GCD(1, 120) = 1

GCD of 557, 703, 70, 120 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 986, 322, 16, 416
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• GCD of 414, 667, 65, 928
• GCD of 988, 951, 65, 558

1. What is the GCD of 557, 703, 70, 120?

GCD of 557, 703, 70, 120 is 1

2. Where do I get the detailed procedure to find GCD of 557, 703, 70, 120?

You can find a detailed procedure to find GCD of 557, 703, 70, 120 on our page.

3. How to find GCD of 557, 703, 70, 120 on a calculator?

You can find the GCD of 557, 703, 70, 120 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.