GCD of 220, 814, 49, 977 Calculator

Given Input numbers are 220, 814, 49, 977

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

Divisors of 220

List of positive integer divisors of 220 that divides 220 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

Divisors of 814

List of positive integer divisors of 814 that divides 814 without a remainder.

1, 2, 11, 22, 37, 74, 407, 814

Divisors of 49

List of positive integer divisors of 49 that divides 49 without a remainder.

1, 7, 49

Divisors of 977

List of positive integer divisors of 977 that divides 977 without a remainder.

1, 977

Greatest Common Divisior

We found the divisors of 220, 814, 49, 977 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 220, 814, 49, 977 is 1.

Therefore, GCD of numbers 220, 814, 49, 977 is 1

Given Input Data is 220, 814, 49, 977

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

Prime Factorization of 220 is 2 x 2 x 5 x 11

Prime Factorization of 814 is 2 x 11 x 37

Prime Factorization of 49 is 7 x 7

Prime Factorization of 977 is 977

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(220, 814) = 8140

GCD(220, 814) = ( 220 x 814 ) / 8140

GCD(220, 814) = 179080 / 8140

GCD(220, 814) = 22

Step2:

Here we consider the GCD from the above i.e. 22 as first number and the next as 49

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

LCM(22, 49) = 1078

GCD(22, 49) = ( 22 x 49 ) / 1078

GCD(22, 49) = 1078 / 1078

GCD(22, 49) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 977

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

LCM(1, 977) = 977

GCD(1, 977) = ( 1 x 977 ) / 977

GCD(1, 977) = 977 / 977

GCD(1, 977) = 1

GCD of 220, 814, 49, 977 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 550, 752, 47, 489
• GCD of 234, 938, 22, 910
• GCD of 681, 917, 38, 133
• GCD of 335, 894, 44, 292
• GCD of 716, 497, 85, 471

1. What is the GCD of 220, 814, 49, 977?

GCD of 220, 814, 49, 977 is 1

2. Where do I get the detailed procedure to find GCD of 220, 814, 49, 977?

You can find a detailed procedure to find GCD of 220, 814, 49, 977 on our page.

3. How to find GCD of 220, 814, 49, 977 on a calculator?

You can find the GCD of 220, 814, 49, 977 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.