GCD of 77, 726, 475, 896 Calculator

Given Input numbers are 77, 726, 475, 896

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

Divisors of 77

List of positive integer divisors of 77 that divides 77 without a remainder.

1, 7, 11, 77

Divisors of 726

List of positive integer divisors of 726 that divides 726 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

Divisors of 475

List of positive integer divisors of 475 that divides 475 without a remainder.

1, 5, 19, 25, 95, 475

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 77, 726, 475, 896 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 77, 726, 475, 896 is 1.

Therefore, GCD of numbers 77, 726, 475, 896 is 1

Given Input Data is 77, 726, 475, 896

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

Prime Factorization of 77 is 7 x 11

Prime Factorization of 726 is 2 x 3 x 11 x 11

Prime Factorization of 475 is 5 x 5 x 19

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(77, 726) = 5082

GCD(77, 726) = ( 77 x 726 ) / 5082

GCD(77, 726) = 55902 / 5082

GCD(77, 726) = 11

Step2:

Here we consider the GCD from the above i.e. 11 as first number and the next as 475

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

LCM(11, 475) = 5225

GCD(11, 475) = ( 11 x 475 ) / 5225

GCD(11, 475) = 5225 / 5225

GCD(11, 475) = 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 77, 726, 475, 896 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 68, 874, 626, 874
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• GCD of 94, 716, 561, 804
• GCD of 80, 932, 318, 682

1. What is the GCD of 77, 726, 475, 896?

GCD of 77, 726, 475, 896 is 1

2. Where do I get the detailed procedure to find GCD of 77, 726, 475, 896?

You can find a detailed procedure to find GCD of 77, 726, 475, 896 on our page.

3. How to find GCD of 77, 726, 475, 896 on a calculator?

You can find the GCD of 77, 726, 475, 896 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.