GCD of 945, 347, 200, 840 Calculator

Given Input numbers are 945, 347, 200, 840

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

Divisors of 945

List of positive integer divisors of 945 that divides 945 without a remainder.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

Divisors of 347

List of positive integer divisors of 347 that divides 347 without a remainder.

1, 347

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

Divisors of 840

List of positive integer divisors of 840 that divides 840 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

Greatest Common Divisior

We found the divisors of 945, 347, 200, 840 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 945, 347, 200, 840 is 1.

Therefore, GCD of numbers 945, 347, 200, 840 is 1

Given Input Data is 945, 347, 200, 840

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

Prime Factorization of 945 is 3 x 3 x 3 x 5 x 7

Prime Factorization of 347 is 347

Prime Factorization of 200 is 2 x 2 x 2 x 5 x 5

Prime Factorization of 840 is 2 x 2 x 2 x 3 x 5 x 7

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(945, 347) = 327915

GCD(945, 347) = ( 945 x 347 ) / 327915

GCD(945, 347) = 327915 / 327915

GCD(945, 347) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 840

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

LCM(1, 840) = 840

GCD(1, 840) = ( 1 x 840 ) / 840

GCD(1, 840) = 840 / 840

GCD(1, 840) = 1

GCD of 945, 347, 200, 840 is 1

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1. What is the GCD of 945, 347, 200, 840?

GCD of 945, 347, 200, 840 is 1

2. Where do I get the detailed procedure to find GCD of 945, 347, 200, 840?

You can find a detailed procedure to find GCD of 945, 347, 200, 840 on our page.

3. How to find GCD of 945, 347, 200, 840 on a calculator?

You can find the GCD of 945, 347, 200, 840 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.