GCD of 464, 894, 145, 707 Calculator

Given Input numbers are 464, 894, 145, 707

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

Divisors of 464

List of positive integer divisors of 464 that divides 464 without a remainder.

1, 2, 4, 8, 16, 29, 58, 116, 232, 464

Divisors of 894

List of positive integer divisors of 894 that divides 894 without a remainder.

1, 2, 3, 6, 149, 298, 447, 894

Divisors of 145

List of positive integer divisors of 145 that divides 145 without a remainder.

1, 5, 29, 145

Divisors of 707

List of positive integer divisors of 707 that divides 707 without a remainder.

1, 7, 101, 707

Greatest Common Divisior

We found the divisors of 464, 894, 145, 707 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 464, 894, 145, 707 is 1.

Therefore, GCD of numbers 464, 894, 145, 707 is 1

Given Input Data is 464, 894, 145, 707

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

Prime Factorization of 464 is 2 x 2 x 2 x 2 x 29

Prime Factorization of 894 is 2 x 3 x 149

Prime Factorization of 145 is 5 x 29

Prime Factorization of 707 is 7 x 101

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(464, 894) = 207408

GCD(464, 894) = ( 464 x 894 ) / 207408

GCD(464, 894) = 414816 / 207408

GCD(464, 894) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 145

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

LCM(2, 145) = 290

GCD(2, 145) = ( 2 x 145 ) / 290

GCD(2, 145) = 290 / 290

GCD(2, 145) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 707

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

LCM(1, 707) = 707

GCD(1, 707) = ( 1 x 707 ) / 707

GCD(1, 707) = 707 / 707

GCD(1, 707) = 1

GCD of 464, 894, 145, 707 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 569, 278, 544, 602
• GCD of 749, 952, 905, 430
• GCD of 239, 586, 808, 573
• GCD of 504, 240, 866, 920
• GCD of 505, 701, 942, 573

1. What is the GCD of 464, 894, 145, 707?

GCD of 464, 894, 145, 707 is 1

2. Where do I get the detailed procedure to find GCD of 464, 894, 145, 707?

You can find a detailed procedure to find GCD of 464, 894, 145, 707 on our page.

3. How to find GCD of 464, 894, 145, 707 on a calculator?

You can find the GCD of 464, 894, 145, 707 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.