GCD of 895, 782, 949, 118 Calculator

Given Input numbers are 895, 782, 949, 118

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

Divisors of 895

List of positive integer divisors of 895 that divides 895 without a remainder.

1, 5, 179, 895

Divisors of 782

List of positive integer divisors of 782 that divides 782 without a remainder.

1, 2, 17, 23, 34, 46, 391, 782

Divisors of 949

List of positive integer divisors of 949 that divides 949 without a remainder.

1, 13, 73, 949

Divisors of 118

List of positive integer divisors of 118 that divides 118 without a remainder.

1, 2, 59, 118

Greatest Common Divisior

We found the divisors of 895, 782, 949, 118 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 895, 782, 949, 118 is 1.

Therefore, GCD of numbers 895, 782, 949, 118 is 1

Given Input Data is 895, 782, 949, 118

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

Prime Factorization of 895 is 5 x 179

Prime Factorization of 782 is 2 x 17 x 23

Prime Factorization of 949 is 13 x 73

Prime Factorization of 118 is 2 x 59

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(895, 782) = 699890

GCD(895, 782) = ( 895 x 782 ) / 699890

GCD(895, 782) = 699890 / 699890

GCD(895, 782) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 949

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

LCM(1, 949) = 949

GCD(1, 949) = ( 1 x 949 ) / 949

GCD(1, 949) = 949 / 949

GCD(1, 949) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 118

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

LCM(1, 118) = 118

GCD(1, 118) = ( 1 x 118 ) / 118

GCD(1, 118) = 118 / 118

GCD(1, 118) = 1

GCD of 895, 782, 949, 118 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 731, 424, 653, 524
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• GCD of 937, 931, 120, 851
• GCD of 677, 387, 192, 288
• GCD of 910, 877, 659, 387

1. What is the GCD of 895, 782, 949, 118?

GCD of 895, 782, 949, 118 is 1

2. Where do I get the detailed procedure to find GCD of 895, 782, 949, 118?

You can find a detailed procedure to find GCD of 895, 782, 949, 118 on our page.

3. How to find GCD of 895, 782, 949, 118 on a calculator?

You can find the GCD of 895, 782, 949, 118 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.