GCD of 87, 770, 196, 896 Calculator

Given Input numbers are 87, 770, 196, 896

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

Divisors of 87

List of positive integer divisors of 87 that divides 87 without a remainder.

1, 3, 29, 87

Divisors of 770

List of positive integer divisors of 770 that divides 770 without a remainder.

1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

Divisors of 196

List of positive integer divisors of 196 that divides 196 without a remainder.

1, 2, 4, 7, 14, 28, 49, 98, 196

Divisors of 896

List of positive integer divisors of 896 that divides 896 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896

Greatest Common Divisior

We found the divisors of 87, 770, 196, 896 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 87, 770, 196, 896 is 1.

Therefore, GCD of numbers 87, 770, 196, 896 is 1

Given Input Data is 87, 770, 196, 896

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

Prime Factorization of 87 is 3 x 29

Prime Factorization of 770 is 2 x 5 x 7 x 11

Prime Factorization of 196 is 2 x 2 x 7 x 7

Prime Factorization of 896 is 2 x 2 x 2 x 2 x 2 x 2 x 2 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(87, 770) = 66990

GCD(87, 770) = ( 87 x 770 ) / 66990

GCD(87, 770) = 66990 / 66990

GCD(87, 770) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 196

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

LCM(1, 196) = 196

GCD(1, 196) = ( 1 x 196 ) / 196

GCD(1, 196) = 196 / 196

GCD(1, 196) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 896

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

LCM(1, 896) = 896

GCD(1, 896) = ( 1 x 896 ) / 896

GCD(1, 896) = 896 / 896

GCD(1, 896) = 1

GCD of 87, 770, 196, 896 is 1

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1. What is the GCD of 87, 770, 196, 896?

GCD of 87, 770, 196, 896 is 1

2. Where do I get the detailed procedure to find GCD of 87, 770, 196, 896?

You can find a detailed procedure to find GCD of 87, 770, 196, 896 on our page.

3. How to find GCD of 87, 770, 196, 896 on a calculator?

You can find the GCD of 87, 770, 196, 896 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.