GCD of 946, 350, 825, 277 Calculator

Given Input numbers are 946, 350, 825, 277

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

Divisors of 946

List of positive integer divisors of 946 that divides 946 without a remainder.

1, 2, 11, 22, 43, 86, 473, 946

Divisors of 350

List of positive integer divisors of 350 that divides 350 without a remainder.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

Divisors of 825

List of positive integer divisors of 825 that divides 825 without a remainder.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

Divisors of 277

List of positive integer divisors of 277 that divides 277 without a remainder.

1, 277

Greatest Common Divisior

We found the divisors of 946, 350, 825, 277 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 946, 350, 825, 277 is 1.

Therefore, GCD of numbers 946, 350, 825, 277 is 1

Given Input Data is 946, 350, 825, 277

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

Prime Factorization of 946 is 2 x 11 x 43

Prime Factorization of 350 is 2 x 5 x 5 x 7

Prime Factorization of 825 is 3 x 5 x 5 x 11

Prime Factorization of 277 is 277

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(946, 350) = 165550

GCD(946, 350) = ( 946 x 350 ) / 165550

GCD(946, 350) = 331100 / 165550

GCD(946, 350) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 825

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

LCM(2, 825) = 1650

GCD(2, 825) = ( 2 x 825 ) / 1650

GCD(2, 825) = 1650 / 1650

GCD(2, 825) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 277

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

LCM(1, 277) = 277

GCD(1, 277) = ( 1 x 277 ) / 277

GCD(1, 277) = 277 / 277

GCD(1, 277) = 1

GCD of 946, 350, 825, 277 is 1

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1. What is the GCD of 946, 350, 825, 277?

GCD of 946, 350, 825, 277 is 1

2. Where do I get the detailed procedure to find GCD of 946, 350, 825, 277?

You can find a detailed procedure to find GCD of 946, 350, 825, 277 on our page.

3. How to find GCD of 946, 350, 825, 277 on a calculator?

You can find the GCD of 946, 350, 825, 277 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.