GCD of 464, 964, 735, 700 Calculator

Given Input numbers are 464, 964, 735, 700

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 964

List of positive integer divisors of 964 that divides 964 without a remainder.

1, 2, 4, 241, 482, 964

Divisors of 735

List of positive integer divisors of 735 that divides 735 without a remainder.

1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

Divisors of 700

List of positive integer divisors of 700 that divides 700 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

Greatest Common Divisior

We found the divisors of 464, 964, 735, 700 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 464, 964, 735, 700 is 1.

Therefore, GCD of numbers 464, 964, 735, 700 is 1

Given Input Data is 464, 964, 735, 700

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 964 is 2 x 2 x 241

Prime Factorization of 735 is 3 x 5 x 7 x 7

Prime Factorization of 700 is 2 x 2 x 5 x 5 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(464, 964) = 111824

GCD(464, 964) = ( 464 x 964 ) / 111824

GCD(464, 964) = 447296 / 111824

GCD(464, 964) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 735

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

LCM(4, 735) = 2940

GCD(4, 735) = ( 4 x 735 ) / 2940

GCD(4, 735) = 2940 / 2940

GCD(4, 735) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 700

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

LCM(1, 700) = 700

GCD(1, 700) = ( 1 x 700 ) / 700

GCD(1, 700) = 700 / 700

GCD(1, 700) = 1

GCD of 464, 964, 735, 700 is 1

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1. What is the GCD of 464, 964, 735, 700?

GCD of 464, 964, 735, 700 is 1

2. Where do I get the detailed procedure to find GCD of 464, 964, 735, 700?

You can find a detailed procedure to find GCD of 464, 964, 735, 700 on our page.

3. How to find GCD of 464, 964, 735, 700 on a calculator?

You can find the GCD of 464, 964, 735, 700 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.