GCD of 70, 705, 546, 200 Calculator

Given Input numbers are 70, 705, 546, 200

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

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 705

List of positive integer divisors of 705 that divides 705 without a remainder.

1, 3, 5, 15, 47, 141, 235, 705

Divisors of 546

List of positive integer divisors of 546 that divides 546 without a remainder.

1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

Divisors of 200

List of positive integer divisors of 200 that divides 200 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

Greatest Common Divisior

We found the divisors of 70, 705, 546, 200 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 70, 705, 546, 200 is 1.

Therefore, GCD of numbers 70, 705, 546, 200 is 1

Given Input Data is 70, 705, 546, 200

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

Prime Factorization of 70 is 2 x 5 x 7

Prime Factorization of 705 is 3 x 5 x 47

Prime Factorization of 546 is 2 x 3 x 7 x 13

Prime Factorization of 200 is 2 x 2 x 2 x 5 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(70, 705) = 9870

GCD(70, 705) = ( 70 x 705 ) / 9870

GCD(70, 705) = 49350 / 9870

GCD(70, 705) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 546

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

LCM(5, 546) = 2730

GCD(5, 546) = ( 5 x 546 ) / 2730

GCD(5, 546) = 2730 / 2730

GCD(5, 546) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 200

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

LCM(1, 200) = 200

GCD(1, 200) = ( 1 x 200 ) / 200

GCD(1, 200) = 200 / 200

GCD(1, 200) = 1

GCD of 70, 705, 546, 200 is 1

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• GCD of 29, 246, 506, 942
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• GCD of 28, 859, 839, 849

1. What is the GCD of 70, 705, 546, 200?

GCD of 70, 705, 546, 200 is 1

2. Where do I get the detailed procedure to find GCD of 70, 705, 546, 200?

You can find a detailed procedure to find GCD of 70, 705, 546, 200 on our page.

3. How to find GCD of 70, 705, 546, 200 on a calculator?

You can find the GCD of 70, 705, 546, 200 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.